{"assistant":{"explanations":[{"calculationRefs":["calc-1"],"text":"Первая фигура, обе посылки общеутвердительные: заключение общеутвердительное."},{"calculationRefs":["calc-2"],"text":"Общеотрицательная большая и общеутвердительная меньшая посылки дают общеотрицательное заключение."},{"calculationRefs":["calc-3"],"text":"По тексту главы 6 частное заключение из двух общих посылок не выведено: базовое прочтение молчит."},{"calculationRefs":["calc-4"],"text":"Традиционное прочтение добавляет экзистенциальную нагрузку общим суждениям, и Darapti срабатывает."},{"calculationRefs":["calc-5"],"text":"Правило обращения главы 2 частноотрицательное суждение не обращает."},{"calculationRefs":["calc-6"],"text":"Средний термин не распределён ни в одной посылке: заключение не выведено."},{"calculationRefs":["calc-7"],"text":"Сочетание общеутвердительной и общеотрицательной посылок в первой фигуре ничего не заключает."}],"origin":"assistant","summary":"Barbara и Celarent — совершенные силлогизмы первой фигуры, их вывод установлен. Darapti в тексте «Первой аналитики» молчит: из двух общих посылок частный вывод не следует без экзистенциальной нагрузки, которую добавляет только традиционное прочтение. 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and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых 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24b16)"}],"namespace":"urn:grc:aristoteles:clir:analytica-priora","package":"grc.aristoteles.analytica_priora"}},"vocab":{}},"vulnerableTo":[],"whyNot":[]},"execution":{"evaluationBytes":"{\"conflicts\":[],\"issues\":[],\"manifest\":{\"artifactHash\":\"sha256:5d0d8ff63edc218b231dc458c3b460d674b34d3cbf1a958049de54232cffa93f\",\"calendarSnapshot\":\"\",\"caseHash\":\"sha256:04389a5df01e762e360725c955bdfaf698ef7e96986f6fa75aed71e96c7a5cd1\",\"decisionTime\":\"2026-08-31T12:00:00+05:00\",\"evidenceSnapshotHash\":\"sha256:0000000000000000000000000000000000000000000000000000000000000000\",\"externalSnapshots\":{},\"id\":\"urn:manifest:oracle-1\",\"interpretations\":[],\"knowledgeTime\":\"2026-08-31T12:00:00+05:00\",\"legalTime\":\"2026-08-31\",\"lockfileHash\":\"sha256:0000000000000000000000000000000000000000000000000000000000000000\",\"mode\":\"audit\",\"policies\":{},\"programHash\":\"sha256:5cc9aab92a96710ee8bbe0c42d337356adcb1e7783e2b7b0916e4e5fe2684a1b\",\"resolvedEditions\":{},\"semanticHash\":\"sha256:83bc5ada3dd64b1390ddf69f25564974789f84c64a9e6181d211a1f7038631b2\",\"semantics\":\"law.core/0.2\",\"theoryHash\":\"sha256:5cc9aab92a96710ee8bbe0c42d337356adcb1e7783e2b7b0916e4e5fe2684a1b\",\"timezone\":\"Asia/Qyzylorda\"},\"positions\":[],\"proofGraph\":{\"nodes\":[{\"attributes\":{\"assertion\":\"urn:mcp:case#fact-1\"},\"conclusion\":{\"args\":[{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#A\",\"kind\":\"const_ref\"},{\"id\":\"urn:mcp:entity:Животное\",\"kind\":\"entity_ref\"},{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"}],\"kind\":\"literal\",\"polarity\":\"positive\",\"predicate\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\"},\"evidence\":[],\"id\":\"urn:proof:assert:urn:mcp:case#fact-1\",\"kind\":\"assertion\",\"premises\":[],\"sourceAnchors\":[]},{\"attributes\":{},\"conclusion\":{\"args\":[{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#O\",\"kind\":\"const_ref\"},{\"id\":\"urn:mcp:entity:Животное\",\"kind\":\"entity_ref\"},{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"}],\"kind\":\"literal\",\"polarity\":\"positive\",\"predicate\":\"urn:grc:aristoteles:clir:analytica-priora#excluded\"},\"evidence\":[],\"id\":\"urn:proof:apply:ContradictioUniversalisAffirmativae:70767ae961ef797f8f1d62af589c142839cea7a91c306de392ab909fca0d6f3b\",\"kind\":\"rule_application\",\"premises\":[\"urn:proof:assert:urn:mcp:case#fact-1\"],\"rule\":\"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisAffirmativae\",\"sourceAnchors\":[],\"substitution\":{\"v0\":{\"id\":\"urn:mcp:entity:Животное\",\"kind\":\"entity_ref\"},\"v1\":{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"}}},{\"attributes\":{},\"conclusion\":{\"args\":[{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"},{\"id\":\"urn:mcp:entity:Животное\",\"kind\":\"entity_ref\"}],\"kind\":\"literal\",\"polarity\":\"positive\",\"predicate\":\"urn:grc:aristoteles:clir:analytica-priora#in_whole\"},\"evidence\":[],\"id\":\"urn:proof:apply:PredicationOfAllIsInWhole:d962a39b3ea4bd96fba0c10384144fd1f717b9f53318c143240b80807b357ecb\",\"kind\":\"rule_application\",\"premises\":[\"urn:proof:assert:urn:mcp:case#fact-1\"],\"rule\":\"urn:grc:aristoteles:clir:analytica-priora#PredicationOfAllIsInWhole\",\"sourceAnchors\":[],\"substitution\":{\"v0\":{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"},\"v1\":{\"id\":\"urn:mcp:entity:Животное\",\"kind\":\"entity_ref\"}}},{\"attributes\":{},\"conclusion\":{\"args\":[{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#A\",\"kind\":\"const_ref\"},{\"id\":\"urn:mcp:entity:Животное\",\"kind\":\"entity_ref\"},{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"}],\"kind\":\"literal\",\"polarity\":\"positive\",\"predicate\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\"},\"evidence\":[],\"id\":\"urn:proof:apply:InWholeIsPredicationOfAll:1a7b8beb6202645f94b12e6da9ef8e7caa6fae19aca5734fb9f4172a9dc4b635\",\"kind\":\"rule_application\",\"premises\":[\"urn:proof:apply:PredicationOfAllIsInWhole:d962a39b3ea4bd96fba0c10384144fd1f717b9f53318c143240b80807b357ecb\"],\"rule\":\"urn:grc:aristoteles:clir:analytica-priora#InWholeIsPredicationOfAll\",\"sourceAnchors\":[],\"substitution\":{\"v0\":{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"},\"v1\":{\"id\":\"urn:mcp:entity:Животное\",\"kind\":\"entity_ref\"}}},{\"attributes\":{\"assertion\":\"urn:mcp:case#fact-2\"},\"conclusion\":{\"args\":[{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#A\",\"kind\":\"const_ref\"},{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"},{\"id\":\"urn:mcp:entity:Грек\",\"kind\":\"entity_ref\"}],\"kind\":\"literal\",\"polarity\":\"positive\",\"predicate\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\"},\"evidence\":[],\"id\":\"urn:proof:assert:urn:mcp:case#fact-2\",\"kind\":\"assertion\",\"premises\":[],\"sourceAnchors\":[]},{\"attributes\":{},\"conclusion\":{\"args\":[{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#A\",\"kind\":\"const_ref\"},{\"id\":\"urn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aristoteles:clir:analytica-priora#A","kind":"const_ref"},{"id":"urn:mcp:entity:Животное","kind":"entity_ref"},{"id":"urn:mcp:entity:Грек","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#belongs"},"truthStatus":"TRUE_ONLY"},"id":"urn:proof:query:mcp","kind":"query_evaluation","originStatus":"available","premises":["urn:proof:apply:Barbara:3cb07c6848cdad6af82ae19a0dae07500df4197afc3799f4ef03f9c884100c76","urn:proof:apply:InWholeIsPredicationOfAll:5d16c63cd8a02fa06bf992d2dbd0bbfec4364e0635aa2d1f6149fc686948b356"],"trust":"engine"}],"symbols":[{"id":"urn:grc:aristoteles:clir:analytica-priora#Barbara","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.4 25b37 (Barbara): A of all B, B of all C, therefore A of all C"},{"language":"grc","status":"official","text":"εἰ γὰρ τὸ Α κατὰ παντὸς τοῦ Β καὶ τὸ Β κατὰ παντὸς τοῦ Γ, ἀνάγκη τὸ Α κατὰ παντὸς τοῦ Γ κατηγορεῖσθαι"},{"language":"ru","status":"unofficial","text":"I.4 25b37 (Barbara): A обо всяком B, B обо всяком Γ — значит A обо всяком Γ"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisAffirmativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"an established universal affirmative excludes the particular negative over the same pair"},{"language":"grc","status":"official","text":"ὑπέκειτο παντὶ ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"доказанное общеутвердительное исключает частноотрицательное над той же парой (I.2 25a12, I.5 27a38: на этом стоят доказательства обращения и сведения к нелепому)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Form","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"quantity and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых (ἀδιόριστον)"}],"name":"Form","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#InWholeIsPredicationOfAll","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b26: being wholly in another is the same as being predicated of all of it"},{"language":"grc","status":"official","text":"τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν"},{"language":"ru","status":"unofficial","text":"I.1 24b26: если один термин в целом в другом, то другой сказывается обо всём первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum","kind":"constraint","labels":[{"language":"en","status":"unofficial","text":"an excluded form cannot at the same time be established over the same pair of terms"},{"language":"grc","status":"official","text":"φάσις δὲ καὶ ἀπόφασις οὐχ ὑπάρχουσιν αἱ ἀντικείμεναι ἅμα τῷ αὐτῷ"},{"language":"ru","status":"unofficial","text":"исключённая форма не может быть одновременно установленной над той же парой терминов"}],"package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#PredicationOfAllIsInWhole","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b28: being predicated of all is the same as the other being wholly in it"},{"language":"grc","status":"official","text":"λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν"},{"language":"ru","status":"unofficial","text":"I.1 24b28: если один термин сказывается обо всём другом, то другой в целом в первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Term","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"term: that into which a premiss is resolved (I.1 24b16)"},{"language":"grc","status":"official","text":"ὅρος"},{"language":"ru","status":"unofficial","text":"термин: то, на что разлагается посылка (I.1 24b16)"}],"name":"Term","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the predicate belongs to the subject in the given form"},{"language":"grc","status":"official","text":"ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"сказуемое сказывается о подлежащем в данной форме"}],"name":"belongs","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the form is excluded for this pair of terms by the opposite judgement already established"},{"language":"grc","status":"official","text":"ἀντικεῖσθαι"},{"language":"ru","status":"unofficial","text":"форма суждения исключена для этой пары терминов противолежащим ей доказанным суждением"}],"name":"excluded","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"one term is wholly contained in another"},{"language":"grc","status":"official","text":"ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ"},{"language":"ru","status":"unofficial","text":"внутренний термин целиком содержится в 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§33.1"}],"caseHash":"sha256:04389a5df01e762e360725c955bdfaf698ef7e96986f6fa75aed71e96c7a5cd1","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"вне юрисдикции 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Πρῶτον εἰπεῖν περὶ τί καὶ τίνος ἐστὶν ἡ σκέψις, ὅτι περὶ ἀπόδειξιν καὶ ἐπιστήμης ἀποδεικτικῆς· εἶτα διορίσαι τί ἐστι πρότασις καὶ τί ὅρος καὶ τί συλλογισμός, καὶ ποῖος τέλειος καὶ ποῖος ἀτελής, μετὰ δὲ ταῦτα τί τὸ ἐν ὅλῳ εἶναι ἢ μὴ εἶναι τόδε τῷδε, καὶ τί λέγομεν τὸ κατὰ παντὸς ἢ μηδενὸς κατηγορεῖσθαι.\n\nΠρότασις μὲν οὖν ἐστὶ λόγος καταφατικὸς ἢ ἀποφατικός τινος κατά τινος· οὗτος δὲ ἢ καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος. λέγω δὲ καθόλου μὲν τὸ παντὶ ἢ μηδενὶ ὑπάρχειν, ἐν μέρει δὲ τὸ τινὶ ἢ μὴ τινὶ ἢ μὴ παντὶ ὑπάρχειν, ἀδιόριστον δὲ τὸ ὑπάρχειν ἢ μὴ ὑπάρχειν ἄνευ τοῦ καθόλου ἢ κατὰ μέρος, οἷον τὸ τῶν ἐναντίων εἶναι τὴν αὐτὴν ἐπιστήμην ἢ τὸ τὴν ἡδονὴν μὴ εἶναι ἀγαθόν. διαφέρει δὲ ἡ ἀποδεικτικὴ πρότασις τῆς διαλεκτικῆς, ὅτι ἡ μὲν ἀποδεικτικὴ λῆψις θατέρου μορίου τῆς ἀντιφάσεώς ἐστιν (οὐ γὰρ ἐρωτᾷ ἀλλὰ λαμβάνει ὁ ἀποδεικνύων), ἡ δὲ διαλεκτικὴ ἐρώτησις ἀντιφάσεώς ἐστιν. οὐδὲν δὲ διοίσει πρὸς τὸ γενέσθαι τὸν ἑκατέρου συλλογισμόν· καὶ γὰρ ὁ ἀποδεικνύων καὶ ὁ ἐρωτῶν συλλογίζεται λαβών τι κατά τινος ὑπάρχειν ἢ μὴ ὑπάρχειν. ὥστε ἔσται συλλογιστικὴ μὲν πρότασις ἁπλῶς κατάφασις ἢ ἀπόφασίς τινος κατά τινος τὸν εἰρημένον τρόπον, ἀποδεικτικὴ δέ, ἐὰν ἀληθὴς ᾖ καὶ διὰ τῶν ἐξ ἀρχῆς [24b] ὑποθέσεων εἰλημμένη, διαλεκτικὴ δὲ πυνθανομένῳ μὲν ἐρώτησις ἀντιφάσεως, συλλογιζομένῳ δὲ λῆψις τοῦ φαινομένου καὶ ἐνδόξου, καθάπερ ἐν τοῖς Τοπικοῖς εἴρηται. τί μὲν οὖν ἐστὶ πρότασις, καὶ τί διαφέρει συλλογιστικὴ καὶ ἀποδεικτικὴ καὶ διαλεκτική, δι' ἀκριβείας μὲν ἐν τοῖς ἑπομένοις ῥηθήσεται, πρὸς δὲ τὴν παροῦσαν χρείαν ἱκανῶς ἡμῖν διωρίσθω τὰ νῦν.\n\nὍρον δὲ καλῶ εἰς ὃν διαλύεται ἡ πρότασις, οἷον τό τε κατηγορούμενον καὶ τὸ καθ' οὗ κατηγορεῖται, προστιθεμένου [ἢ διαιρουμένου] τοῦ εἶναι ἢ μὴ εἶναι. συλλογισμὸς δέ ἐστι λόγος ἐνᾧ τεθέντων τινῶν ἕτερόν τι τῶν κειμένων ἐξ ἀνάγκης συμβαίνει τῷ ταῦτα εἶναι. λέγω δὲ τῷ ταῦτα εἶναι τὸ διὰ ταῦτα συμβαίνειν, τὸ δὲ διὰ ταῦτα συμβαίνειν τὸ μηδενὸς ἔξωθεν ὅρου προσδεῖν πρὸς τὸ γενέσθαι τὸ ἀναγκαῖον. τέλειον μὲν οὖν καλῶ συλλογισμὸν τὸν μηδενὸς ἄλλου προσδεόμενον παρὰ τὰ εἰλημμένα πρὸς τὸ φανῆναι τὸ ἀναγκαῖον, ἀτελῆ δὲ τὸν προσδεόμενον ἢ ἑνὸς ἢ πλειόνων, ἃ ἔστι μὲν ἀναγκαῖα διὰ τῶν ὑποκειμένων ὅρων, οὐ μὴν εἴληπται διὰ προτάσεων. τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν. λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν [τοῦ ὑποκειμένου] καθ' οὗ θάτερον οὐ λεχθήσεται· καὶ τὸ κατὰ μηδενὸς ὡσαύτως. [25a]"}]},{"contentHash":"sha256:cdb8d6373fd8797e6396011356dd19d286a545811fb98e64eb848189f8da92aa","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I2","kind":"fragment","locator":"article/2","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:2498d199f2870c11a027d3c4085755dd09a100b301445c6937393dbdff477649","language":"grc","status":"official","text":"Ἐπεὶ δὲ πᾶσα πρότασίς ἐστιν ἢ τοῦ ὑπάρχειν ἢ τοῦ ἐξ ἀνάγκης ὑπάρχειν ἢ τοῦ ἐνδέχεσθαι ὑπάρχειν, τούτων δὲ αἱ μὲν καταφατικαὶ αἱ δὲ ἀποφατικαὶ καθ' ἑκάστην πρόσρησιν, πάλιν δὲ τῶν καταφατικῶν καὶ ἀποφατικῶν αἱ μὲν καθόλου αἱ δὲ ἐν μέρει αἱ δὲ ἀδιόριστοι, τὴν μὲν ἐν τῷ ὑπάρχειν καθόλου στερητικὴν ἀνάγκη τοῖς ὅροις ἀντιστρέφειν, οἷον εἰ μηδεμία ἡδονὴ ἀγαθόν, οὐδ' ἀγαθὸν οὐδὲν ἔσται ἡδονή· τὴν δὲ κατηγορικὴν ἀντιστρέφειν μὲν ἀναγκαῖον, οὐ μὴν καθόλου ἀλλ' ἐν μέρει, οἷον εἰ πᾶσα ἡδονὴ ἀγαθόν, καὶ ἀγαθόν τι εἶναι ἡδονήν· τῶν δὲ ἐν μέρει τὴν μὲν καταφατικὴν ἀντιστρέφειν ἀνάγκη κατὰ μέρος (εἰ γὰρ ἡδονή τις ἀγαθόν, καὶ ἀγαθόν τι ἔσται ἡδονή), τὴν δὲ στερητικὴν οὐκ ἀναγκαῖον· (οὐ γὰρ εἰ ἄνθρωπος μὴ ὑπάρχει τινὶ ζῴῳ, καὶ ζῷον οὐχ ὑπάρχει τινὶ ἀνθρώπῳ).\n\nΠρῶτον μὲν οὖν ἔστω στερητικὴ καθόλου ἡ Α Β πρότασις. εἰ οὖν μηδενὶ τῷ Β τὸ Α ὑπάρχει, οὐδὲ τῷ Α οὐδενὶ ὑπάρξει τὸ Β· εἰ γάρ τινι, οἷον τῷ Γ, οὐκ ἀληθὲς ἔσται τὸ μηδενὶ τῷ Β τὸ Α ὑπάρχειν· τὸ γὰρ Γ τῶν Β τί ἐστιν. εἰ δὲ παντὶ τὸ Α τῷ Β, καὶ τὸ Β τινὶ τῷ Α ὑπάρξει· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β ὑπάρξει· ἀλλ' ὑπέκειτο παντὶ ὑπάρχειν. ὁμοίως δὲ καὶ εἰ κατὰ μέρος ἐστὶν ἡ πρότασις. εἰ γὰρ τὸ Α τινὶ τῷ Β, καὶ τὸ Β τινὶ τῷ Α ἀνάγκη ὑπάρχειν· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β. εἰ δέ γε τὸ Α τινὶ τῷ Β μὴ ὑπάρχει, οὐκ ἀνάγκη καὶ τὸ Β τινὶ τῷ Α μὴ ὑπάρχειν, οἷον εἰ τὸ μὲν Β ἐστὶ ζῷον, τὸ δὲ Α ἄνθρωπος· ἄνθρωπος μὲν γὰρ οὐ παντὶ ζῴῳ, ζῷον δὲ παντὶ ἀνθρώπῳ ὑπάρχει."}]},{"contentHash":"sha256:d99f9b6cc6656105148fa151fb6d4cd3db915348a06dad7c8dcbc7548f1c6b74","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I4","kind":"fragment","locator":"article/4","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:c3355707ea934894059c02faf44f176b3d078e8a35ff34e425f09b1b1695f4ee","language":"grc","status":"official","text":"Διωρισμένων δὲ τούτων λέγωμεν ἤδη διὰ τίνων καὶ πότε καὶ πῶς γίνεται πᾶς συλλογισμός· ὕστερον δὲ λεκτέον περὶ ἀποδείξεως. πρότερον δὲ περὶ συλλογισμοῦ λεκτέον ἢ περὶ ἀποδείξεως διὰ τὸ καθόλου μᾶλλον εἶναι τὸν συλλογισμόν· ἡ μὲν γὰρ ἀπόδειξις συλλογισμός τις, ὁ συλλογισμὸς δὲ οὐ πᾶς ἀπόδειξις.\n\nὍταν οὖν ὅροι τρεῖς οὕτως ἔχωσι πρὸς ἀλλήλους ὥστε τὸν ἔσχατον ἐν ὅλῳ εἶναι τῷ μέσῳ καὶ τὸν μέσον ἐν ὅλῳ τῷ πρώτῳ ἢ εἶναι ἢ μὴ εἶναι, ἀνάγκη τῶν ἄκρων εἶναι συλλογισμὸν τέλειον. καλῶ δὲ μέσον μὲν ὃ καὶ αὐτὸ ἐν ἄλλῳ καὶ ἄλλο ἐν τούτῳ ἐστίν, ὃ καὶ τῇ θέσει γίνεται μέσον· ἄκρα δὲ τὸ αὐτό τε ἐν ἄλλῳ ὂν καὶ ἐν ᾧ ἄλλο ἐστίν. εἰ γὰρ τὸ Α κατὰ παντὸς τοῦ Β καὶ τὸ Β κατὰ παντὸς τοῦ Γ, ἀνάγκη τὸ Α κατὰ παντὸς τοῦ Γ κατηγορεῖσθαι· πρότερον γὰρ εἴρηται πῶς τὸ κατὰ παντὸς λέγομεν. ὁμοίως δὲ καὶ εἰ τὸ μὲν Α κατὰ μη[26a] δενὸς τοῦ Β, τὸ δὲ Β κατὰ παντὸς τοῦ Γ, ὅτι τὸ Α οὐδενὶ τῷ Γ ὑπάρξει. εἰ δὲ τὸ μὲν πρῶτον παντὶ τῷ μέσῳ ἀκολουθεῖ, τὸ δὲ μέσον μηδενὶ τῷ ἐσχάτῳ ὑπάρχει, οὐκ ἔσται συλλογισμὸς τῶν ἄκρων· οὐδὲν γὰρ ἀναγκαῖον συμβαίνει τῷ ταῦτα εἶναι· καὶ γὰρ παντὶ καὶ μηδενὶ ἐνδέχεται τὸ πρῶτον τῷ ἐσχάτῳ ὑπάρχειν, ὥστε οὔτε τὸ κατὰ μέρος οὔτε τὸ καθόλου γίνεται ἀναγκαῖον· μηδενὸς δὲ ὄντος ἀναγκαίου διὰ τούτων οὐκ ἔσται συλλογισμός. ὅροι τοῦ παντὶ ὑπάρχειν ζῷον —ἄνθρωπος — ἵππος, τοῦ μηδενὶ ζῷον —ἄνθρωπος —λίθος. οὐδ' ὅταν μήτε τὸ πρῶτον τῷ μέσῳ μήτε τὸ μέσον τῷ ἐσχάτῳ μηδενὶ ὑπάρχῃ, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν ἐπιστήμη —γραμμή —ἰατρική, τοῦ μὴ ὑπάρχειν ἐπιστήμη —γραμμή —μονάς. καθόλου μὲν οὖν ὄντων τῶν ὅρων, δῆλον ἐν τούτῳ τῷ σχήματι πότε ἔσται καὶ πότε οὐκ ἔσται συλλογισμός, καὶ ὅτι ὄντος τε συλλογισμοῦ τοὺς ὅρους ἀναγκαῖον ἔχειν ὡς εἴπομεν, ἄν θ' οὕτως ἔχωσιν, ὅτι ἔσται συλλογισμός.\n\nΕἰ δ' ὁ μὲν καθόλου τῶν ὅρων ὁ δ' ἐν μέρει πρὸς τὸν ἕτερον, ὅταν μὲν τὸ καθόλου τεθῇ πρὸς τὸ μεῖζον ἄκρον ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ ἐν μέρει πρὸς τὸ ἔλαττον κατηγορικόν, ἀνάγκη συλλογισμὸν εἶναι τέλειον, ὅταν δὲ πρὸς τὸ ἔλαττον ἢ καὶ ἄλλως πως ἔχωσιν οἱ ὅροι, ἀδύνατον. λέγω δὲ μεῖζον μὲν ἄκρον ἐν ᾧ τὸ μέσον ἐστίν, ἔλαττον δὲ τὸ ὑπὸ τὸ μέσον ὄν. ὑπαρχέτω γὰρ τὸ μὲν Α παντὶ τῷ Β, τὸ δὲ Β τινὶ τῷ Γ. οὐκοῦν εἰ ἔστι παντὸς κατηγορεῖσθαι τὸ ἐν ἀρχῇ λεχθέν, ἀνάγκη τὸ Α τινὶ τῷ Γ ὑπάρχειν. καὶ εἰ τὸ μὲν Α μηδενὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ, ἀνάγκη τὸ Α τινὶ τῷ Γ μὴ ὑπάρχειν· ὥρισται γὰρ καὶ τὸ κατὰ μηδενὸς πῶς λέγομεν· ὥστε ἔσται συλλογισμὸς τέλειος. ὁμοίως δὲ καὶ εἰ ἀδιόριστον εἴη τὸ Β Γ, κατηγορικὸν ὄν· ὁ γὰρ αὐτὸς ἔσται συλλογισμὸς ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος.\n\nἘὰν δὲ πρὸς τὸ ἔλαττον ἄκρον τὸ καθόλου τεθῇ ἢ κατηγορικὸν ἢ στερητικόν, οὐκ ἔσται συλλογισμός, οὔτε καταφατικοῦ οὔτε ἀποφατικοῦ τοῦ ἀδιορίστου ἢ κατὰ μέρος ὄντος, οἷον εἰ τὸ μὲν Α τινὶ τῷ Β ὑπάρχει ἢ μὴ ὑπάρχει, τὸ δὲ Β παντὶ τῷ Γ ὑπάρχει· ὅροι τοῦ ὑπάρχειν ἀγαθόν —ἕξις —φρόνησις, τοῦ μὴ ὑπάρχειν ἀγαθόν —ἕξις — ἀμαθία. πάλιν εἰ τὸ μὲν Β μηδενὶ τῷ Γ, τὸ δὲ Α τινὶ τῷ Β ἢ ὑπάρχει ἢ μὴ ὑπάρχει ἢ μὴ παντὶ ὑπάρχει, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι λευκόν —ἵππος —κύκνος, λευκόν —ἵππος —κόραξ. οἱ αὐτοὶ δὲ καὶ εἰ τὸ Α Β ἀδιόριστον. Οὐδ' ὅταν τὸ μὲν πρὸς [26b] τῷ μείζονι ἄκρῳ καθόλου γένηται ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ πρὸς τῷ ἐλάττονι στερητικὸν κατὰ μέρος, οὐκ ἔσται συλλογισμός [ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος], οἷον εἰ τὸ μὲν Α παντὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ μή, ἢ εἰ μὴ παντὶ ὑπάρχει· ᾧ γὰρ ἄν τινι μὴ ὑπάρχῃ τὸ μέσον, τούτῳ καὶ παντὶ καὶ οὐδενὶ ἀκολουθήσει τὸ πρῶτον. ὑποκείσθωσαν γὰρ οἱ ὅροι ζῷον —ἄνθρωπος —λευκόν· εἶτα καὶ ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, εἰλήφθω κύκνος καὶ χιών· οὐκοῦν τὸ ζῷον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός, ὥστε οὐκ ἔσται συλλογισμός. πάλιν τὸ μὲν Α μηδενὶ τῷ Β ὑπαρχέτω, τὸ δὲ Β τινὶ τῷ Γ μὴ ὑπαρχέτω· καὶ οἱ ὅροι ἔστωσαν ἄψυχον —ἄνθρωπος —λευκόν· εἶτα εἰλήφθωσαν, ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, κύκνος καὶ χιών· τὸ γὰρ ἄψυχον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός. ἔτι ἐπεὶ ἀδιόριστον τὸ τινὶ τῷ Γ τὸ Β μὴ ὑπάρχειν, ἀληθεύεται δέ, καὶ εἰ μηδενὶ ὑπάρχει καὶ εἰ μὴ παντί, ὅτι τινὶ οὐχ ὑπάρχει, ληφθέντων δὲ τοιούτων ὅρων ὥστε μηδενὶ ὑπάρχειν οὐ γίνεται συλλογισμός (τοῦτο γὰρ εἴρηται πρότερον), φανερὸν οὖν ὅτι τῷ οὕτως ἔχειν τοὺς ὅρους οὐκ ἔσται συλλογισμός· ἦν γὰρ ἂν καὶ ἐπὶ τούτων. ὁμοίως δὲ δειχθήσεται καὶ εἰ τὸ καθόλου τεθείη στερητικόν. Οὐδὲ ἐὰν ἄμφω τὰ διαστήματα κατὰ μέρος ἢ κατηγορικῶς ἢ στερητικῶς, ἢ τὸ μὲν κατηγορικῶς τὸ δὲ στερητικῶς λέγηται, ἢ τὸ μὲν ἀδιόριστον τὸ δὲ διωρισμένον, ἢ ἄμφω ἀδιόριστα, οὐκ ἔσται συλλογισμὸς οὐδαμῶς. ὅροι δὲ κοινοὶ πάντων ζῷον —λευκόν —ἵππος, ζῷον —λευκόν —λίθος.\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὡς ἐὰν ᾖ συλλογισμὸς ἐν τούτῳ τῷ σχήματι κατὰ μέρος, ὅτι ἀνάγκη τοὺς ὅρους οὕτως ἔχειν ὡς εἴπομεν· ἄλλως γὰρ ἐχόντων οὐδαμῶς γίνεται. δῆλον δὲ καὶ ὅτι πάντες οἱ ἐν αὐτῷ συλλογισμοὶ τέλειοί εἰσι· (πάντες γὰρ ἐπιτελοῦνται διὰ τῶν ἐξ ἀρχῆς ληφθέντων), καὶ ὅτι πάντα τὰ προβλήματα δείκνυται διὰ τούτου τοῦ σχήματος· καὶ γὰρ τὸ παντὶ καὶ τὸ μηδενὶ καὶ τὸ τινὶ καὶ τὸ μή τινι ὑπάρχειν. καλῶ δὲ τὸ τοιοῦτον σχῆμα πρῶτον."}]},{"contentHash":"sha256:838a16dd52ed3fd537beb59ea50009594d69ce632d7520ecb7081f0c430791a9","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I5","kind":"fragment","locator":"article/5","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:5e4ff1da45a88c46862da30228b9cf2a9208c50fc2112570a12f87dd7e1144fb","language":"grc","status":"official","text":"Ὅταν δὲ τὸ αὐτὸ τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἢ ἑκατέρῳ παντὶ ἢ μηδενί, τὸ μὲν σχῆμα τὸ τοιοῦτον καλῶ δεύτερον, μέσον δὲ ἐν αὐτῷ λέγω τὸ κατηγορούμενον ἀμφοῖν, ἄκρα δὲ καθ' ὧν λέγεται τοῦτο, μεῖζον δὲ ἄκρον τὸ πρὸς τῷ μέσῳ κείμενον· ἔλαττον δὲ τὸ πορρωτέρω τοῦ μέσου. τίθεται δὲ τὸ μέσον ἔξω μὲν τῶν ἄκρων, πρῶτον δὲ τῇ θέσει. [27a] τέλειος μὲν οὖν οὐκ ἔσται συλλογισμὸς οὐδαμῶς ἐν τούτῳ τῷ σχήματι, δυνατὸς δ' ἔσται καὶ καθόλου καὶ μὴ καθόλου τῶν ὅρων ὄντων. καθόλου μὲν οὖν ὄντων ἔσται συλλογισμὸς ὅταν τὸ μέσον τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἂν πρὸς ὁποτερῳοῦν ᾖ τὸ στερητικόν· ἄλλως δ' οὐδαμῶς. κατηγορείσθω γὰρ τὸ Μ τοῦ μὲν Ν μηδενός, τοῦ δὲ Ξ παντός. ἐπεὶ οὖν ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ παντὶ τῷ Ξ ὑπέκειτο· ὥστε τὸ Ν οὐδενὶ τῷ Ξ· τοῦτο γὰρ δέδεικται πρότερον. πάλιν εἰ τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ μηδενί, οὐδὲ τὸ Ξ τῷ Ν οὐδενὶ ὑπάρξει (εἰ γὰρ τὸ Μ οὐδενὶ τῷ Ξ, οὐδὲ τὸ Ξ οὐδενὶ τῷ Μ· τὸ δέ γε Μ παντὶ τῷ Ν ὑπῆρχεν· τὸ ἄρα Ξ οὐδενὶ τῷ Ν ὑπάρξει· γεγένηται γὰρ πάλιν τὸ πρῶτον σχῆμα)· ἐπεὶ δὲ ἀντιστρέφει τὸ στερητικόν, οὐδὲ τὸ Ν οὐδενὶ τῷ Ξ ὑπάρξει, ὥστ' ἔσται ὁ αὐτὸς συλλογισμός. ἔστι δὲ δεικνύναι ταῦτα καὶ εἰς τὸ ἀδύνατον ἄγοντας. ὅτι μὲν οὖν γίνεται συλλογισμὸς οὕτως ἐχόντων τῶν ὅρων, φανερόν, ἀλλ' οὐ τέλειος· οὐ γὰρ μόνον ἐκ τῶν ἐξ ἀρχῆς ἀλλὰ καὶ ἐξ ἄλλων ἐπιτελεῖται τὸ ἀναγκαῖον. ἐὰν δὲ τὸ Μ παντὸς τοῦ Ν καὶ τοῦ Ξ κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν οὐσία —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν οὐσία —ζῷον —ἀριθμός· μέσον οὐσία. οὐδ' ὅταν μήτε τοῦ Ν μήτε τοῦ Ξ μηδενὸς κατηγορῆται τὸ Μ. ὅροι τοῦ ὑπάρχειν γραμμή —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν γραμμή — ζῷον —λίθος. φανερὸν οὖν ὅτι ἂν ᾖ συλλογισμὸς καθόλου τῶν ὅρων ὄντων, ἀνάγκη τοὺς ὅρους ἔχειν ὡς ἐν ἀρχῇ εἴπομεν· ἄλλως γὰρ ἐχόντων οὐ γίνεται τὸ ἀναγκαῖον.\n\nἘὰν δὲ πρὸς τὸν ἕτερον ᾖ καθόλου τὸ μέσον, ὅταν μὲν πρὸς τὸν μείζω γένηται καθόλου ἢ κατηγορικῶς ἢ στερητικῶς, πρὸς δὲ τὸν ἐλάττω κατὰ μέρος καὶ ἀντικειμένως τῷ καθόλου (λέγω δὲ τὸ ἀντικειμένως, εἰ μὲν τὸ καθόλου στερητικόν, τὸ ἐν μέρει καταφατικόν· εἰ δὲ κατηγορικὸν τὸ καθόλου, τὸ ἐν μέρει στερητικόν), ἀνάγκη γίνεσθαι συλλογισμὸν στερητικὸν κατὰ μέρος. εἰ γὰρ τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν. ἐπεὶ γὰρ ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ ὑπέκειτο τινὶ τῷ Ξ ὑπάρχειν· ὥστε τὸ Ν τινὶ τῷ Ξ οὐχ ὑπάρξει· γίνεται γὰρ συλλογισμὸς διὰ τοῦ πρώτου σχήματος. πάλιν εἰ τῷ μὲν Ν παντὶ τὸ Μ, τῷ δὲ Ξ τινὶ μὴ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν· εἰ γὰρ παντὶ ὑπάρχει, κατηγορεῖται δὲ καὶ τὸ Μ παντὸς τοῦ Ν, ἀνάγκη τὸ Μ [27b] παντὶ τῷ Ξ ὑπάρχειν· ὑπέκειτο δὲ τινὶ μὴ ὑπάρχειν. καὶ εἰ τὸ Μ τῷ μὲν Ν παντὶ ὑπάρχει τῷ δὲ Ξ μὴ παντί, ἔσται συλλογισμὸς ὅτι οὐ παντὶ τῷ Ξ τὸ Ν· ἀπόδειξις δ' ἡ αὐτή. ἐὰν δὲ τοῦ μὲν Ξ παντὸς τοῦ δὲ Ν μὴ παντὸς κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι ζῷον —οὐσία —κόραξ, ζῷον —λευκόν — κόραξ. οὐδ' ὅταν τοῦ μὲν Ξ μηδενός, τοῦ δὲ Ν τινός. ὅροι τοῦ ὑπάρχειν ζῷον —οὐσία —μονάς, τοῦ μὴ ὑπάρχειν ζῷον —οὐσία — ἐπιστήμη.\n\nὍταν μὲν οὖν ἀντικείμενον ᾖ τὸ καθόλου τῷ κατὰ μέρος, εἴρηται πότ' ἔσται καὶ πότ' οὐκ ἔσται συλλογισμός· ὅταν δὲ ὁμοιοσχήμονες ὦσιν αἱ προτάσεις, οἷον ἀμφότεραι στερητικαὶ ἢ καταφατικαί, οὐδαμῶς ἔσται συλλογισμός. ἔστωσαν γὰρ πρῶτον στερητικαί, καὶ τὸ καθόλου κείσθω πρὸς τὸ μεῖζον ἄκρον, οἷον τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ μὴ ὑπαρχέτω· ἐνδέχεται δὴ καὶ παντὶ καὶ μηδενὶ τῷ Ξ τὸ Ν ὑπάρχειν. ὅροι τοῦ μὲν μὴ ὑπάρχειν μέλαν —χιών —ζῷον· τοῦ δὲ παντὶ ὑπάρχειν οὐκ ἔστι λαβεῖν, εἰ τὸ Μ τῷ Ξ τινὶ μὲν ὑπάρχει τινὶ δὲ μή. εἰ γὰρ παντὶ τῷ Ξ τὸ Ν, τὸ δὲ Μ μηδενὶ τῷ Ν, τὸ Μ οὐδενὶ τῷ Ξ ὑπάρξει· ἀλλ' ὑπέκειτο τινὶ ὑπάρχειν. οὕτω μὲν οὖν οὐκ ἐγχωρεῖ λαβεῖν ὅρους, ἐκ δὲ τοῦ ἀδιορίστου δεικτέον· ἐπεὶ γὰρ ἀληθεύεται τὸ τινὶ μὴ ὑπάρχειν τὸ Μ τῷ Ξ καὶ εἰ μηδενὶ ὑπάρχει, μηδενὶ δὲ ὑπάρχοντος οὐκ ἦν συλλογισμός, φανερὸν ὅτι οὐδὲ νῦν ἔσται. πάλιν ἔστωσαν κατηγορικαί, καὶ τὸ καθόλου κείσθω ὁμοίως, οἷον τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ τινὶ ὑπαρχέτω. ἐνδέχεται δὴ τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ μηδενὶ ὑπάρχειν λευκόν — κύκνος —λίθος τοῦ δὲ παντὶ οὐκ ἔσται λαβεῖν διὰ τὴν αὐτὴν αἰτίαν ἥνπερ πρότερον, ἀλλ' ἐκ τοῦ ἀδιορίστου δεικτέον. εἰ δὲ τὸκαθόλου πρὸς τὸ ἔλαττον ἄκρον ἐστί, καὶ τὸ Μ τῷ μὲν Ξ μηδενὶ τῷ δὲ Ν τινὶ μὴ ὑπάρχει, ἐνδέχεται τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ ὑπάρχειν λευκόν —ζῷον — κόραξ, τοῦ μὴ ὑπάρχειν λευκόν —λίθος —κόραξ. εἰ δὲ κατηγορικαὶ αἱ προτάσεις, ὅροι τοῦ μὴ ὑπάρχειν λευκόν —ζῷον —χιών, τοῦ ὑπάρχειν λευκόν —ζῷον —κύκνος. φανερὸν οὖν, ὅταν ὁμοιοσχήμονες ὦσιν αἱ προτάσεις καὶ ἡ μὲν καθόλου ἡ δ' ἐν μέρει, ὅτι οὐδαμῶς γίνεται συλλογισμός. ἀλλ' οὐδ' εἰ τινὶ ἑκατέρῳ ὑπάρχει ἢ μὴ ὑπάρχει, ἢ τῷ μὲν τῷ δὲ μή, ἢ μηδετέρῳ παντί, ἢ ἀδιορίστως. ὅροι δὲ κοινοὶ πάντων λευκόν —ζῷον —ἄνθρωπος, λευκόν —ζῷον —ἄψυχον. [28a]\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὅτι ἐάν τε οὕτως ἔχωσιν οἱ ὅροι πρὸς ἀλλήλους ὡς ἐλέχθη, γίνεται συλλογισμὸς ἐξ ἀνάγκης, ἄν τ' ᾖ συλλογισμός, ἀνάγκη τοὺς ὅρους οὕτως ἔχειν. δῆλον δὲ καὶ ὅτι πάντες ἀτελεῖς εἰσὶν οἱ ἐν τούτῳ τῷ σχήματι συλλογισμοί (πάντες γὰρ ἐπιτελοῦνται προσλαμβανομένων τινῶν, ἃ ἢ ἐνυπάρχει τοῖς ὅροις ἐξ ἀνάγκης ἢ τίθενται ὡς ὑποθέσεις, οἷον ὅταν διὰ τοῦ ἀδυνάτου δεικνύωμεν), καὶ ὅτι οὐ γίνεται καταφατικὸς συλλογισμὸς διὰ τούτου τοῦ σχήματος, ἀλλὰ πάντες στερητικοί, καὶ οἱ καθόλου καὶ οἱ κατὰ μέρος."}]}],"text":"belongs: **TRUE_ONLY** — установлено\nВыведено правом: excluded(O, Животное, Человек); in_whole(Человек, Животное); belongs(A, Животное, Человек); belongs(A, Животное, Грек); excluded(O, Человек, Грек); excluded(O, Животное, Грек); in_whole(Грек, Животное); in_whole(Грек, Человек); belongs(A, Человек, Грек)\nПрименены правила: Barbara, ContradictioUniversalisAffirmativae, InWholeIsPredicationOfAll, PredicationOfAllIsInWhole\nПраво (вне юрисдикции 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and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых 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24b16)"}],"namespace":"urn:grc:aristoteles:clir:analytica-priora","package":"grc.aristoteles.analytica_priora"}},"vocab":{}},"vulnerableTo":[],"whyNot":[]},"execution":{"evaluationBytes":"{\"conflicts\":[],\"issues\":[],\"manifest\":{\"artifactHash\":\"sha256:5d0d8ff63edc218b231dc458c3b460d674b34d3cbf1a958049de54232cffa93f\",\"calendarSnapshot\":\"\",\"caseHash\":\"sha256:886ee9cc7586157ed4fb67ab3ecae4f200bac1b6b40b4feaeef2da2e250ab8f2\",\"decisionTime\":\"2026-08-31T12:00:00+05:00\",\"evidenceSnapshotHash\":\"sha256:0000000000000000000000000000000000000000000000000000000000000000\",\"externalSnapshots\":{},\"id\":\"urn:manifest:oracle-1\",\"interpretations\":[],\"knowledgeTime\":\"2026-08-31T12:00:00+05:00\",\"legalTime\":\"2026-08-31\",\"lockfileHash\":\"sha256:0000000000000000000000000000000000000000000000000000000000000000\",\"mode\":\"audit\",\"policies\":{},\"programHash\":\"sha256:5cc9aab92a96710ee8bbe0c42d337356adcb1e7783e2b7b0916e4e5fe2684a1b\",\"resolvedEditions\":{},\"semanticHash\":\"sha256:f3618cee39eb7d13b632c9f960ff4479a031e400ae8e224601ee6620240fb78d\",\"semantics\":\"law.core/0.2\",\"theoryHash\":\"sha256:5cc9aab92a96710ee8bbe0c42d337356adcb1e7783e2b7b0916e4e5fe2684a1b\",\"timezone\":\"Asia/Qyzylorda\"},\"positions\":[],\"proofGraph\":{\"nodes\":[{\"attributes\":{\"assertion\":\"urn:mcp:case#fact-1\"},\"conclusion\":{\"args\":[{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#E\",\"kind\":\"const_ref\"},{\"id\":\"urn:mcp:entity:Камень\",\"kind\":\"entity_ref\"},{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"}],\"kind\":\"literal\",\"polarity\":\"positive\",\"predicate\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\"},\"evidence\":[],\"id\":\"urn:proof:assert:urn:mcp:case#fact-1\",\"kind\":\"assertion\",\"premises\":[],\"sourceAnchors\":[]},{\"attributes\":{},\"conclusion\":{\"args\":[{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#I\",\"kind\":\"const_ref\"},{\"id\":\"urn:mcp:entity:Камень\",\"kind\":\"entity_ref\"},{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"}],\"kind\":\"literal\",\"polarity\":\"positive\",\"predicate\":\"urn:grc:aristoteles:clir:analytica-priora#excluded\"},\"evidence\":[],\"id\":\"urn:proof:apply:ContradictioUniversalisNegativae:d662a0953071966388f84ff5d3586abf51b737ee64ac349a7509c2a585c7685b\",\"kind\":\"rule_application\",\"premises\":[\"urn:proof:assert:urn:mcp:case#fact-1\"],\"rule\":\"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisNegativae\",\"sourceAnchors\":[],\"substitution\":{\"v0\":{\"id\":\"urn:mcp:entity:Камень\",\"kind\":\"entity_ref\"},\"v1\":{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"}}},{\"attributes\":{},\"conclusion\":{\"args\":[{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#E\",\"kind\":\"const_ref\"},{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"},{\"id\":\"urn:mcp:entity:Камень\",\"kind\":\"entity_ref\"}],\"kind\":\"literal\",\"polarity\":\"positive\",\"predicate\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\"},\"evidence\":[],\"id\":\"urn:proof:apply:ConversioUniversalisNegativae:e063829e990d0695b214aee23aa8761160a59a65906f1399df347b7e22c10a64\",\"kind\":\"rule_application\",\"premises\":[\"urn:proof:assert:urn:mcp:case#fact-1\"],\"rule\":\"urn:grc:aristoteles:clir:analytica-priora#ConversioUniversalisNegativae\",\"sourceAnchors\":[],\"substitution\":{\"v0\":{\"id\":\"urn:mcp:entity:Камень\",\"kind\":\"entity_ref\"},\"v1\":{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"}}},{\"attributes\":{},\"conclusion\":{\"args\":[{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#I\",\"kind\":\"const_ref\"},{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"},{\"id\":\"urn:mcp:entity:Камень\",\"kind\":\"entity_ref\"}],\"kind\":\"literal\",\"polarity\":\"positive\",\"predicate\":\"urn:grc:aristoteles:clir:analytica-priora#excluded\"},\"evidence\":[],\"id\":\"urn:proof:apply:ContradictioUniversalisNegativae:091da1bd0a0706137b55dae69fa3b7a033bec747e4d1955def1443ca99cea16f\",\"kind\":\"rule_application\",\"premises\":[\"urn:proof:apply:ConversioUniversalisNegativae:e063829e990d0695b214aee23aa8761160a59a65906f1399df347b7e22c10a64\"],\"rule\":\"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisNegativae\",\"sourceAnchors\":[],\"substitution\":{\"v0\":{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"},\"v1\":{\"id\":\"urn:mcp:entity:Камень\",\"kind\":\"entity_ref\"}}},{\"attributes\":{},\"conclusion\":{\"args\":[{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#E\",\"kind\":\"const_ref\"},{\"id\":\"urn:mcp:entity:Камень\",\"kind\":\"entity_ref\"},{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"}],\"kind\":\"literal\",\"polarity\":\"positive\",\"predicate\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\"},\"evidence\":[],\"id\":\"urn:proof:apply:ConversioUniversalisNegativae:06f5641d2ad7657a21a51addbca552de374947bcda51be3c365b5a6d4d6bd063\",\"kind\":\"rule_application\",\"premises\":[\"urn:proof:apply:ConversioUni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(§93.2)\",\"id\":\"urn:result:constraint:NihilExclusumEstSimulPositum:23835e543ac6f513:input:0\",\"kind\":\"fact\",\"relatedNode\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\"}],\"normativeStatus\":\"UNDETERMINED\",\"normativeStatusSupports\":[],\"proof\":\"urn:proof:constraint:NihilExclusumEstSimulPositum:3aa86690f43e26d317ec98650e5066e974cb57940782ba83eddbdc67915719e7\",\"query\":\"urn:query:mcp\",\"resultKind\":\"CONSTRAINT\",\"sourceAnchors\":[],\"target\":\"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum\",\"triggerStatus\":\"SATISFIED\",\"truthStatus\":\"NEITHER\"},{\"applicabilityStatus\":\"APPLICABLE\",\"conflicts\":[],\"evaluationStatus\":\"COMPUTED\",\"evidence\":[],\"id\":\"urn:result:constraint:NihilExclusumEstSimulPositum:017098b3219b7867\",\"judgmentRequests\":[],\"manifest\":\"urn:manifest:oracle-1\",\"missingInputs\":[{\"description\":\"urn:grc:aristoteles:clir:analytica-priora#belongs: опора не установлена (§93.2)\",\"id\":\"urn:result:constraint:NihilExclusumEstSimulPositum:017098b3219b7867:input:0\",\"kind\":\"fact\",\"relatedNode\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\"}],\"normativeStatus\":\"UNDETERMINED\",\"normativeStatusSupports\":[],\"proof\":\"urn:proof:constraint:NihilExclusumEstSimulPositum:df4201e1f084e169c7eccf94a77716b9bbe19cc388ebd388829f95ad0dfb98ac\",\"query\":\"urn:query:mcp\",\"resultKind\":\"CONSTRAINT\",\"sourceAnchors\":[],\"target\":\"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum\",\"triggerStatus\":\"SATISFIED\",\"truthStatus\":\"NEITHER\"},{\"applicabilityStatus\":\"APPLICABLE\",\"conflicts\":[],\"evaluationStatus\":\"COMPUTED\",\"evidence\":[],\"id\":\"urn:result:constraint:NihilExclusumEstSimulPositum:377d4d4c6a95e6cc\",\"judgmentRequests\":[],\"manifest\":\"urn:manifest:oracle-1\",\"missingInputs\":[{\"description\":\"urn:grc:aristoteles:clir:analytica-priora#belongs: опора не установлена 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26a1 (Celarent): A of no B, B of all C, therefore A of no C"},{"language":"grc","status":"official","text":"ὁμοίως δὲ καὶ εἰ τὸ μὲν Α κατὰ μη[26a] δενὸς τοῦ Β, τὸ δὲ Β κατὰ παντὸς τοῦ Γ, ὅτι τὸ Α οὐδενὶ τῷ Γ ὑπάρξει"},{"language":"ru","status":"unofficial","text":"I.4 26a1 (Celarent): A ни о каком B, B обо всяком Γ — значит A ни о каком Γ"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisAffirmativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"an established universal affirmative excludes the particular negative over the same pair"},{"language":"grc","status":"official","text":"ὑπέκειτο παντὶ ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"доказанное общеутвердительное исключает частноотрицательное над той же парой (I.2 25a12, I.5 27a38: на этом стоят доказательства обращения и сведения к нелепому)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisNegativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"an established universal negative excludes the particular affirmative over the same pair"},{"language":"grc","status":"official","text":"οὐκ ἀληθὲς ἔσται τὸ μηδενὶ τῷ Β τὸ Α ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"доказанное общеотрицательное исключает частноутвердительное над той же парой (I.2 25a8 — довод, которым обосновано обращение E)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ConversioUniversalisNegativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.2 25a5: the universal negative converts simply"},{"language":"grc","status":"official","text":"τὴν μὲν ἐν τῷ ὑπάρχειν καθόλου στερητικὴν ἀνάγκη τοῖς ὅροις ἀντιστρέφειν"},{"language":"ru","status":"unofficial","text":"I.2 25a5: общеотрицательное обращается просто — если ни одно удовольствие не благо, то и ни одно благо не удовольствие"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Form","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"quantity and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых (ἀδιόριστον)"}],"name":"Form","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#InWholeIsPredicationOfAll","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b26: being wholly in another is the same as being predicated of all of it"},{"language":"grc","status":"official","text":"τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν"},{"language":"ru","status":"unofficial","text":"I.1 24b26: если один термин в целом в другом, то другой сказывается обо всём первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum","kind":"constraint","labels":[{"language":"en","status":"unofficial","text":"an excluded form cannot at the same time be established over the same pair of terms"},{"language":"grc","status":"official","text":"φάσις δὲ καὶ ἀπόφασις οὐχ ὑπάρχουσιν αἱ ἀντικείμεναι ἅμα τῷ αὐτῷ"},{"language":"ru","status":"unofficial","text":"исключённая форма не может быть одновременно установленной над той же парой терминов"}],"package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#PredicationOfAllIsInWhole","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b28: being predicated of all is the same as the other being wholly in it"},{"language":"grc","status":"official","text":"λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν"},{"language":"ru","status":"unofficial","text":"I.1 24b28: если один термин сказывается обо всём другом, то другой в целом в первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Term","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"term: that into which a premiss is resolved (I.1 24b16)"},{"language":"grc","status":"official","text":"ὅρος"},{"language":"ru","status":"unofficial","text":"термин: то, на что разлагается посылка (I.1 24b16)"}],"name":"Term","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the predicate belongs to the subject in the given form"},{"language":"grc","status":"official","text":"ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"сказуемое сказывается о подлежащем в данной форме"}],"name":"belongs","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the form is excluded for this pair of terms by the opposite judgement already established"},{"language":"grc","status":"official","text":"ἀντικεῖσθαι"},{"language":"ru","status":"unofficial","text":"форма суждения исключена для этой пары терминов противолежащим ей доказанным суждением"}],"name":"excluded","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"one term is wholly contained in another"},{"language":"grc","status":"official","text":"ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ"},{"language":"ru","status":"unofficial","text":"внутренний термин целиком содержится в 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§33.1"}],"caseHash":"sha256:886ee9cc7586157ed4fb67ab3ecae4f200bac1b6b40b4feaeef2da2e250ab8f2","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"вне юрисдикции 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Πρῶτον εἰπεῖν περὶ τί καὶ τίνος ἐστὶν ἡ σκέψις, ὅτι περὶ ἀπόδειξιν καὶ ἐπιστήμης ἀποδεικτικῆς· εἶτα διορίσαι τί ἐστι πρότασις καὶ τί ὅρος καὶ τί συλλογισμός, καὶ ποῖος τέλειος καὶ ποῖος ἀτελής, μετὰ δὲ ταῦτα τί τὸ ἐν ὅλῳ εἶναι ἢ μὴ εἶναι τόδε τῷδε, καὶ τί λέγομεν τὸ κατὰ παντὸς ἢ μηδενὸς κατηγορεῖσθαι.\n\nΠρότασις μὲν οὖν ἐστὶ λόγος καταφατικὸς ἢ ἀποφατικός τινος κατά τινος· οὗτος δὲ ἢ καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος. λέγω δὲ καθόλου μὲν τὸ παντὶ ἢ μηδενὶ ὑπάρχειν, ἐν μέρει δὲ τὸ τινὶ ἢ μὴ τινὶ ἢ μὴ παντὶ ὑπάρχειν, ἀδιόριστον δὲ τὸ ὑπάρχειν ἢ μὴ ὑπάρχειν ἄνευ τοῦ καθόλου ἢ κατὰ μέρος, οἷον τὸ τῶν ἐναντίων εἶναι τὴν αὐτὴν ἐπιστήμην ἢ τὸ τὴν ἡδονὴν μὴ εἶναι ἀγαθόν. διαφέρει δὲ ἡ ἀποδεικτικὴ πρότασις τῆς διαλεκτικῆς, ὅτι ἡ μὲν ἀποδεικτικὴ λῆψις θατέρου μορίου τῆς ἀντιφάσεώς ἐστιν (οὐ γὰρ ἐρωτᾷ ἀλλὰ λαμβάνει ὁ ἀποδεικνύων), ἡ δὲ διαλεκτικὴ ἐρώτησις ἀντιφάσεώς ἐστιν. οὐδὲν δὲ διοίσει πρὸς τὸ γενέσθαι τὸν ἑκατέρου συλλογισμόν· καὶ γὰρ ὁ ἀποδεικνύων καὶ ὁ ἐρωτῶν συλλογίζεται λαβών τι κατά τινος ὑπάρχειν ἢ μὴ ὑπάρχειν. ὥστε ἔσται συλλογιστικὴ μὲν πρότασις ἁπλῶς κατάφασις ἢ ἀπόφασίς τινος κατά τινος τὸν εἰρημένον τρόπον, ἀποδεικτικὴ δέ, ἐὰν ἀληθὴς ᾖ καὶ διὰ τῶν ἐξ ἀρχῆς [24b] ὑποθέσεων εἰλημμένη, διαλεκτικὴ δὲ πυνθανομένῳ μὲν ἐρώτησις ἀντιφάσεως, συλλογιζομένῳ δὲ λῆψις τοῦ φαινομένου καὶ ἐνδόξου, καθάπερ ἐν τοῖς Τοπικοῖς εἴρηται. τί μὲν οὖν ἐστὶ πρότασις, καὶ τί διαφέρει συλλογιστικὴ καὶ ἀποδεικτικὴ καὶ διαλεκτική, δι' ἀκριβείας μὲν ἐν τοῖς ἑπομένοις ῥηθήσεται, πρὸς δὲ τὴν παροῦσαν χρείαν ἱκανῶς ἡμῖν διωρίσθω τὰ νῦν.\n\nὍρον δὲ καλῶ εἰς ὃν διαλύεται ἡ πρότασις, οἷον τό τε κατηγορούμενον καὶ τὸ καθ' οὗ κατηγορεῖται, προστιθεμένου [ἢ διαιρουμένου] τοῦ εἶναι ἢ μὴ εἶναι. συλλογισμὸς δέ ἐστι λόγος ἐνᾧ τεθέντων τινῶν ἕτερόν τι τῶν κειμένων ἐξ ἀνάγκης συμβαίνει τῷ ταῦτα εἶναι. λέγω δὲ τῷ ταῦτα εἶναι τὸ διὰ ταῦτα συμβαίνειν, τὸ δὲ διὰ ταῦτα συμβαίνειν τὸ μηδενὸς ἔξωθεν ὅρου προσδεῖν πρὸς τὸ γενέσθαι τὸ ἀναγκαῖον. τέλειον μὲν οὖν καλῶ συλλογισμὸν τὸν μηδενὸς ἄλλου προσδεόμενον παρὰ τὰ εἰλημμένα πρὸς τὸ φανῆναι τὸ ἀναγκαῖον, ἀτελῆ δὲ τὸν προσδεόμενον ἢ ἑνὸς ἢ πλειόνων, ἃ ἔστι μὲν ἀναγκαῖα διὰ τῶν ὑποκειμένων ὅρων, οὐ μὴν εἴληπται διὰ προτάσεων. τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν. λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν [τοῦ ὑποκειμένου] καθ' οὗ θάτερον οὐ λεχθήσεται· καὶ τὸ κατὰ μηδενὸς ὡσαύτως. [25a]"}]},{"contentHash":"sha256:cdb8d6373fd8797e6396011356dd19d286a545811fb98e64eb848189f8da92aa","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I2","kind":"fragment","locator":"article/2","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:2498d199f2870c11a027d3c4085755dd09a100b301445c6937393dbdff477649","language":"grc","status":"official","text":"Ἐπεὶ δὲ πᾶσα πρότασίς ἐστιν ἢ τοῦ ὑπάρχειν ἢ τοῦ ἐξ ἀνάγκης ὑπάρχειν ἢ τοῦ ἐνδέχεσθαι ὑπάρχειν, τούτων δὲ αἱ μὲν καταφατικαὶ αἱ δὲ ἀποφατικαὶ καθ' ἑκάστην πρόσρησιν, πάλιν δὲ τῶν καταφατικῶν καὶ ἀποφατικῶν αἱ μὲν καθόλου αἱ δὲ ἐν μέρει αἱ δὲ ἀδιόριστοι, τὴν μὲν ἐν τῷ ὑπάρχειν καθόλου στερητικὴν ἀνάγκη τοῖς ὅροις ἀντιστρέφειν, οἷον εἰ μηδεμία ἡδονὴ ἀγαθόν, οὐδ' ἀγαθὸν οὐδὲν ἔσται ἡδονή· τὴν δὲ κατηγορικὴν ἀντιστρέφειν μὲν ἀναγκαῖον, οὐ μὴν καθόλου ἀλλ' ἐν μέρει, οἷον εἰ πᾶσα ἡδονὴ ἀγαθόν, καὶ ἀγαθόν τι εἶναι ἡδονήν· τῶν δὲ ἐν μέρει τὴν μὲν καταφατικὴν ἀντιστρέφειν ἀνάγκη κατὰ μέρος (εἰ γὰρ ἡδονή τις ἀγαθόν, καὶ ἀγαθόν τι ἔσται ἡδονή), τὴν δὲ στερητικὴν οὐκ ἀναγκαῖον· (οὐ γὰρ εἰ ἄνθρωπος μὴ ὑπάρχει τινὶ ζῴῳ, καὶ ζῷον οὐχ ὑπάρχει τινὶ ἀνθρώπῳ).\n\nΠρῶτον μὲν οὖν ἔστω στερητικὴ καθόλου ἡ Α Β πρότασις. εἰ οὖν μηδενὶ τῷ Β τὸ Α ὑπάρχει, οὐδὲ τῷ Α οὐδενὶ ὑπάρξει τὸ Β· εἰ γάρ τινι, οἷον τῷ Γ, οὐκ ἀληθὲς ἔσται τὸ μηδενὶ τῷ Β τὸ Α ὑπάρχειν· τὸ γὰρ Γ τῶν Β τί ἐστιν. εἰ δὲ παντὶ τὸ Α τῷ Β, καὶ τὸ Β τινὶ τῷ Α ὑπάρξει· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β ὑπάρξει· ἀλλ' ὑπέκειτο παντὶ ὑπάρχειν. ὁμοίως δὲ καὶ εἰ κατὰ μέρος ἐστὶν ἡ πρότασις. εἰ γὰρ τὸ Α τινὶ τῷ Β, καὶ τὸ Β τινὶ τῷ Α ἀνάγκη ὑπάρχειν· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β. εἰ δέ γε τὸ Α τινὶ τῷ Β μὴ ὑπάρχει, οὐκ ἀνάγκη καὶ τὸ Β τινὶ τῷ Α μὴ ὑπάρχειν, οἷον εἰ τὸ μὲν Β ἐστὶ ζῷον, τὸ δὲ Α ἄνθρωπος· ἄνθρωπος μὲν γὰρ οὐ παντὶ ζῴῳ, ζῷον δὲ παντὶ ἀνθρώπῳ ὑπάρχει."}]},{"contentHash":"sha256:d99f9b6cc6656105148fa151fb6d4cd3db915348a06dad7c8dcbc7548f1c6b74","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I4","kind":"fragment","locator":"article/4","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:c3355707ea934894059c02faf44f176b3d078e8a35ff34e425f09b1b1695f4ee","language":"grc","status":"official","text":"Διωρισμένων δὲ τούτων λέγωμεν ἤδη διὰ τίνων καὶ πότε καὶ πῶς γίνεται πᾶς συλλογισμός· ὕστερον δὲ λεκτέον περὶ ἀποδείξεως. πρότερον δὲ περὶ συλλογισμοῦ λεκτέον ἢ περὶ ἀποδείξεως διὰ τὸ καθόλου μᾶλλον εἶναι τὸν συλλογισμόν· ἡ μὲν γὰρ ἀπόδειξις συλλογισμός τις, ὁ συλλογισμὸς δὲ οὐ πᾶς ἀπόδειξις.\n\nὍταν οὖν ὅροι τρεῖς οὕτως ἔχωσι πρὸς ἀλλήλους ὥστε τὸν ἔσχατον ἐν ὅλῳ εἶναι τῷ μέσῳ καὶ τὸν μέσον ἐν ὅλῳ τῷ πρώτῳ ἢ εἶναι ἢ μὴ εἶναι, ἀνάγκη τῶν ἄκρων εἶναι συλλογισμὸν τέλειον. καλῶ δὲ μέσον μὲν ὃ καὶ αὐτὸ ἐν ἄλλῳ καὶ ἄλλο ἐν τούτῳ ἐστίν, ὃ καὶ τῇ θέσει γίνεται μέσον· ἄκρα δὲ τὸ αὐτό τε ἐν ἄλλῳ ὂν καὶ ἐν ᾧ ἄλλο ἐστίν. εἰ γὰρ τὸ Α κατὰ παντὸς τοῦ Β καὶ τὸ Β κατὰ παντὸς τοῦ Γ, ἀνάγκη τὸ Α κατὰ παντὸς τοῦ Γ κατηγορεῖσθαι· πρότερον γὰρ εἴρηται πῶς τὸ κατὰ παντὸς λέγομεν. ὁμοίως δὲ καὶ εἰ τὸ μὲν Α κατὰ μη[26a] δενὸς τοῦ Β, τὸ δὲ Β κατὰ παντὸς τοῦ Γ, ὅτι τὸ Α οὐδενὶ τῷ Γ ὑπάρξει. εἰ δὲ τὸ μὲν πρῶτον παντὶ τῷ μέσῳ ἀκολουθεῖ, τὸ δὲ μέσον μηδενὶ τῷ ἐσχάτῳ ὑπάρχει, οὐκ ἔσται συλλογισμὸς τῶν ἄκρων· οὐδὲν γὰρ ἀναγκαῖον συμβαίνει τῷ ταῦτα εἶναι· καὶ γὰρ παντὶ καὶ μηδενὶ ἐνδέχεται τὸ πρῶτον τῷ ἐσχάτῳ ὑπάρχειν, ὥστε οὔτε τὸ κατὰ μέρος οὔτε τὸ καθόλου γίνεται ἀναγκαῖον· μηδενὸς δὲ ὄντος ἀναγκαίου διὰ τούτων οὐκ ἔσται συλλογισμός. ὅροι τοῦ παντὶ ὑπάρχειν ζῷον —ἄνθρωπος — ἵππος, τοῦ μηδενὶ ζῷον —ἄνθρωπος —λίθος. οὐδ' ὅταν μήτε τὸ πρῶτον τῷ μέσῳ μήτε τὸ μέσον τῷ ἐσχάτῳ μηδενὶ ὑπάρχῃ, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν ἐπιστήμη —γραμμή —ἰατρική, τοῦ μὴ ὑπάρχειν ἐπιστήμη —γραμμή —μονάς. καθόλου μὲν οὖν ὄντων τῶν ὅρων, δῆλον ἐν τούτῳ τῷ σχήματι πότε ἔσται καὶ πότε οὐκ ἔσται συλλογισμός, καὶ ὅτι ὄντος τε συλλογισμοῦ τοὺς ὅρους ἀναγκαῖον ἔχειν ὡς εἴπομεν, ἄν θ' οὕτως ἔχωσιν, ὅτι ἔσται συλλογισμός.\n\nΕἰ δ' ὁ μὲν καθόλου τῶν ὅρων ὁ δ' ἐν μέρει πρὸς τὸν ἕτερον, ὅταν μὲν τὸ καθόλου τεθῇ πρὸς τὸ μεῖζον ἄκρον ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ ἐν μέρει πρὸς τὸ ἔλαττον κατηγορικόν, ἀνάγκη συλλογισμὸν εἶναι τέλειον, ὅταν δὲ πρὸς τὸ ἔλαττον ἢ καὶ ἄλλως πως ἔχωσιν οἱ ὅροι, ἀδύνατον. λέγω δὲ μεῖζον μὲν ἄκρον ἐν ᾧ τὸ μέσον ἐστίν, ἔλαττον δὲ τὸ ὑπὸ τὸ μέσον ὄν. ὑπαρχέτω γὰρ τὸ μὲν Α παντὶ τῷ Β, τὸ δὲ Β τινὶ τῷ Γ. οὐκοῦν εἰ ἔστι παντὸς κατηγορεῖσθαι τὸ ἐν ἀρχῇ λεχθέν, ἀνάγκη τὸ Α τινὶ τῷ Γ ὑπάρχειν. καὶ εἰ τὸ μὲν Α μηδενὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ, ἀνάγκη τὸ Α τινὶ τῷ Γ μὴ ὑπάρχειν· ὥρισται γὰρ καὶ τὸ κατὰ μηδενὸς πῶς λέγομεν· ὥστε ἔσται συλλογισμὸς τέλειος. ὁμοίως δὲ καὶ εἰ ἀδιόριστον εἴη τὸ Β Γ, κατηγορικὸν ὄν· ὁ γὰρ αὐτὸς ἔσται συλλογισμὸς ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος.\n\nἘὰν δὲ πρὸς τὸ ἔλαττον ἄκρον τὸ καθόλου τεθῇ ἢ κατηγορικὸν ἢ στερητικόν, οὐκ ἔσται συλλογισμός, οὔτε καταφατικοῦ οὔτε ἀποφατικοῦ τοῦ ἀδιορίστου ἢ κατὰ μέρος ὄντος, οἷον εἰ τὸ μὲν Α τινὶ τῷ Β ὑπάρχει ἢ μὴ ὑπάρχει, τὸ δὲ Β παντὶ τῷ Γ ὑπάρχει· ὅροι τοῦ ὑπάρχειν ἀγαθόν —ἕξις —φρόνησις, τοῦ μὴ ὑπάρχειν ἀγαθόν —ἕξις — ἀμαθία. πάλιν εἰ τὸ μὲν Β μηδενὶ τῷ Γ, τὸ δὲ Α τινὶ τῷ Β ἢ ὑπάρχει ἢ μὴ ὑπάρχει ἢ μὴ παντὶ ὑπάρχει, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι λευκόν —ἵππος —κύκνος, λευκόν —ἵππος —κόραξ. οἱ αὐτοὶ δὲ καὶ εἰ τὸ Α Β ἀδιόριστον. Οὐδ' ὅταν τὸ μὲν πρὸς [26b] τῷ μείζονι ἄκρῳ καθόλου γένηται ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ πρὸς τῷ ἐλάττονι στερητικὸν κατὰ μέρος, οὐκ ἔσται συλλογισμός [ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος], οἷον εἰ τὸ μὲν Α παντὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ μή, ἢ εἰ μὴ παντὶ ὑπάρχει· ᾧ γὰρ ἄν τινι μὴ ὑπάρχῃ τὸ μέσον, τούτῳ καὶ παντὶ καὶ οὐδενὶ ἀκολουθήσει τὸ πρῶτον. ὑποκείσθωσαν γὰρ οἱ ὅροι ζῷον —ἄνθρωπος —λευκόν· εἶτα καὶ ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, εἰλήφθω κύκνος καὶ χιών· οὐκοῦν τὸ ζῷον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός, ὥστε οὐκ ἔσται συλλογισμός. πάλιν τὸ μὲν Α μηδενὶ τῷ Β ὑπαρχέτω, τὸ δὲ Β τινὶ τῷ Γ μὴ ὑπαρχέτω· καὶ οἱ ὅροι ἔστωσαν ἄψυχον —ἄνθρωπος —λευκόν· εἶτα εἰλήφθωσαν, ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, κύκνος καὶ χιών· τὸ γὰρ ἄψυχον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός. ἔτι ἐπεὶ ἀδιόριστον τὸ τινὶ τῷ Γ τὸ Β μὴ ὑπάρχειν, ἀληθεύεται δέ, καὶ εἰ μηδενὶ ὑπάρχει καὶ εἰ μὴ παντί, ὅτι τινὶ οὐχ ὑπάρχει, ληφθέντων δὲ τοιούτων ὅρων ὥστε μηδενὶ ὑπάρχειν οὐ γίνεται συλλογισμός (τοῦτο γὰρ εἴρηται πρότερον), φανερὸν οὖν ὅτι τῷ οὕτως ἔχειν τοὺς ὅρους οὐκ ἔσται συλλογισμός· ἦν γὰρ ἂν καὶ ἐπὶ τούτων. ὁμοίως δὲ δειχθήσεται καὶ εἰ τὸ καθόλου τεθείη στερητικόν. Οὐδὲ ἐὰν ἄμφω τὰ διαστήματα κατὰ μέρος ἢ κατηγορικῶς ἢ στερητικῶς, ἢ τὸ μὲν κατηγορικῶς τὸ δὲ στερητικῶς λέγηται, ἢ τὸ μὲν ἀδιόριστον τὸ δὲ διωρισμένον, ἢ ἄμφω ἀδιόριστα, οὐκ ἔσται συλλογισμὸς οὐδαμῶς. ὅροι δὲ κοινοὶ πάντων ζῷον —λευκόν —ἵππος, ζῷον —λευκόν —λίθος.\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὡς ἐὰν ᾖ συλλογισμὸς ἐν τούτῳ τῷ σχήματι κατὰ μέρος, ὅτι ἀνάγκη τοὺς ὅρους οὕτως ἔχειν ὡς εἴπομεν· ἄλλως γὰρ ἐχόντων οὐδαμῶς γίνεται. δῆλον δὲ καὶ ὅτι πάντες οἱ ἐν αὐτῷ συλλογισμοὶ τέλειοί εἰσι· (πάντες γὰρ ἐπιτελοῦνται διὰ τῶν ἐξ ἀρχῆς ληφθέντων), καὶ ὅτι πάντα τὰ προβλήματα δείκνυται διὰ τούτου τοῦ σχήματος· καὶ γὰρ τὸ παντὶ καὶ τὸ μηδενὶ καὶ τὸ τινὶ καὶ τὸ μή τινι ὑπάρχειν. καλῶ δὲ τὸ τοιοῦτον σχῆμα πρῶτον."}]},{"contentHash":"sha256:838a16dd52ed3fd537beb59ea50009594d69ce632d7520ecb7081f0c430791a9","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I5","kind":"fragment","locator":"article/5","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:5e4ff1da45a88c46862da30228b9cf2a9208c50fc2112570a12f87dd7e1144fb","language":"grc","status":"official","text":"Ὅταν δὲ τὸ αὐτὸ τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἢ ἑκατέρῳ παντὶ ἢ μηδενί, τὸ μὲν σχῆμα τὸ τοιοῦτον καλῶ δεύτερον, μέσον δὲ ἐν αὐτῷ λέγω τὸ κατηγορούμενον ἀμφοῖν, ἄκρα δὲ καθ' ὧν λέγεται τοῦτο, μεῖζον δὲ ἄκρον τὸ πρὸς τῷ μέσῳ κείμενον· ἔλαττον δὲ τὸ πορρωτέρω τοῦ μέσου. τίθεται δὲ τὸ μέσον ἔξω μὲν τῶν ἄκρων, πρῶτον δὲ τῇ θέσει. [27a] τέλειος μὲν οὖν οὐκ ἔσται συλλογισμὸς οὐδαμῶς ἐν τούτῳ τῷ σχήματι, δυνατὸς δ' ἔσται καὶ καθόλου καὶ μὴ καθόλου τῶν ὅρων ὄντων. καθόλου μὲν οὖν ὄντων ἔσται συλλογισμὸς ὅταν τὸ μέσον τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἂν πρὸς ὁποτερῳοῦν ᾖ τὸ στερητικόν· ἄλλως δ' οὐδαμῶς. κατηγορείσθω γὰρ τὸ Μ τοῦ μὲν Ν μηδενός, τοῦ δὲ Ξ παντός. ἐπεὶ οὖν ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ παντὶ τῷ Ξ ὑπέκειτο· ὥστε τὸ Ν οὐδενὶ τῷ Ξ· τοῦτο γὰρ δέδεικται πρότερον. πάλιν εἰ τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ μηδενί, οὐδὲ τὸ Ξ τῷ Ν οὐδενὶ ὑπάρξει (εἰ γὰρ τὸ Μ οὐδενὶ τῷ Ξ, οὐδὲ τὸ Ξ οὐδενὶ τῷ Μ· τὸ δέ γε Μ παντὶ τῷ Ν ὑπῆρχεν· τὸ ἄρα Ξ οὐδενὶ τῷ Ν ὑπάρξει· γεγένηται γὰρ πάλιν τὸ πρῶτον σχῆμα)· ἐπεὶ δὲ ἀντιστρέφει τὸ στερητικόν, οὐδὲ τὸ Ν οὐδενὶ τῷ Ξ ὑπάρξει, ὥστ' ἔσται ὁ αὐτὸς συλλογισμός. ἔστι δὲ δεικνύναι ταῦτα καὶ εἰς τὸ ἀδύνατον ἄγοντας. ὅτι μὲν οὖν γίνεται συλλογισμὸς οὕτως ἐχόντων τῶν ὅρων, φανερόν, ἀλλ' οὐ τέλειος· οὐ γὰρ μόνον ἐκ τῶν ἐξ ἀρχῆς ἀλλὰ καὶ ἐξ ἄλλων ἐπιτελεῖται τὸ ἀναγκαῖον. ἐὰν δὲ τὸ Μ παντὸς τοῦ Ν καὶ τοῦ Ξ κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν οὐσία —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν οὐσία —ζῷον —ἀριθμός· μέσον οὐσία. οὐδ' ὅταν μήτε τοῦ Ν μήτε τοῦ Ξ μηδενὸς κατηγορῆται τὸ Μ. ὅροι τοῦ ὑπάρχειν γραμμή —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν γραμμή — ζῷον —λίθος. φανερὸν οὖν ὅτι ἂν ᾖ συλλογισμὸς καθόλου τῶν ὅρων ὄντων, ἀνάγκη τοὺς ὅρους ἔχειν ὡς ἐν ἀρχῇ εἴπομεν· ἄλλως γὰρ ἐχόντων οὐ γίνεται τὸ ἀναγκαῖον.\n\nἘὰν δὲ πρὸς τὸν ἕτερον ᾖ καθόλου τὸ μέσον, ὅταν μὲν πρὸς τὸν μείζω γένηται καθόλου ἢ κατηγορικῶς ἢ στερητικῶς, πρὸς δὲ τὸν ἐλάττω κατὰ μέρος καὶ ἀντικειμένως τῷ καθόλου (λέγω δὲ τὸ ἀντικειμένως, εἰ μὲν τὸ καθόλου στερητικόν, τὸ ἐν μέρει καταφατικόν· εἰ δὲ κατηγορικὸν τὸ καθόλου, τὸ ἐν μέρει στερητικόν), ἀνάγκη γίνεσθαι συλλογισμὸν στερητικὸν κατὰ μέρος. εἰ γὰρ τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν. ἐπεὶ γὰρ ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ ὑπέκειτο τινὶ τῷ Ξ ὑπάρχειν· ὥστε τὸ Ν τινὶ τῷ Ξ οὐχ ὑπάρξει· γίνεται γὰρ συλλογισμὸς διὰ τοῦ πρώτου σχήματος. πάλιν εἰ τῷ μὲν Ν παντὶ τὸ Μ, τῷ δὲ Ξ τινὶ μὴ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν· εἰ γὰρ παντὶ ὑπάρχει, κατηγορεῖται δὲ καὶ τὸ Μ παντὸς τοῦ Ν, ἀνάγκη τὸ Μ [27b] παντὶ τῷ Ξ ὑπάρχειν· ὑπέκειτο δὲ τινὶ μὴ ὑπάρχειν. καὶ εἰ τὸ Μ τῷ μὲν Ν παντὶ ὑπάρχει τῷ δὲ Ξ μὴ παντί, ἔσται συλλογισμὸς ὅτι οὐ παντὶ τῷ Ξ τὸ Ν· ἀπόδειξις δ' ἡ αὐτή. ἐὰν δὲ τοῦ μὲν Ξ παντὸς τοῦ δὲ Ν μὴ παντὸς κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι ζῷον —οὐσία —κόραξ, ζῷον —λευκόν — κόραξ. οὐδ' ὅταν τοῦ μὲν Ξ μηδενός, τοῦ δὲ Ν τινός. ὅροι τοῦ ὑπάρχειν ζῷον —οὐσία —μονάς, τοῦ μὴ ὑπάρχειν ζῷον —οὐσία — ἐπιστήμη.\n\nὍταν μὲν οὖν ἀντικείμενον ᾖ τὸ καθόλου τῷ κατὰ μέρος, εἴρηται πότ' ἔσται καὶ πότ' οὐκ ἔσται συλλογισμός· ὅταν δὲ ὁμοιοσχήμονες ὦσιν αἱ προτάσεις, οἷον ἀμφότεραι στερητικαὶ ἢ καταφατικαί, οὐδαμῶς ἔσται συλλογισμός. ἔστωσαν γὰρ πρῶτον στερητικαί, καὶ τὸ καθόλου κείσθω πρὸς τὸ μεῖζον ἄκρον, οἷον τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ μὴ ὑπαρχέτω· ἐνδέχεται δὴ καὶ παντὶ καὶ μηδενὶ τῷ Ξ τὸ Ν ὑπάρχειν. ὅροι τοῦ μὲν μὴ ὑπάρχειν μέλαν —χιών —ζῷον· τοῦ δὲ παντὶ ὑπάρχειν οὐκ ἔστι λαβεῖν, εἰ τὸ Μ τῷ Ξ τινὶ μὲν ὑπάρχει τινὶ δὲ μή. εἰ γὰρ παντὶ τῷ Ξ τὸ Ν, τὸ δὲ Μ μηδενὶ τῷ Ν, τὸ Μ οὐδενὶ τῷ Ξ ὑπάρξει· ἀλλ' ὑπέκειτο τινὶ ὑπάρχειν. οὕτω μὲν οὖν οὐκ ἐγχωρεῖ λαβεῖν ὅρους, ἐκ δὲ τοῦ ἀδιορίστου δεικτέον· ἐπεὶ γὰρ ἀληθεύεται τὸ τινὶ μὴ ὑπάρχειν τὸ Μ τῷ Ξ καὶ εἰ μηδενὶ ὑπάρχει, μηδενὶ δὲ ὑπάρχοντος οὐκ ἦν συλλογισμός, φανερὸν ὅτι οὐδὲ νῦν ἔσται. πάλιν ἔστωσαν κατηγορικαί, καὶ τὸ καθόλου κείσθω ὁμοίως, οἷον τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ τινὶ ὑπαρχέτω. ἐνδέχεται δὴ τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ μηδενὶ ὑπάρχειν λευκόν — κύκνος —λίθος τοῦ δὲ παντὶ οὐκ ἔσται λαβεῖν διὰ τὴν αὐτὴν αἰτίαν ἥνπερ πρότερον, ἀλλ' ἐκ τοῦ ἀδιορίστου δεικτέον. εἰ δὲ τὸκαθόλου πρὸς τὸ ἔλαττον ἄκρον ἐστί, καὶ τὸ Μ τῷ μὲν Ξ μηδενὶ τῷ δὲ Ν τινὶ μὴ ὑπάρχει, ἐνδέχεται τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ ὑπάρχειν λευκόν —ζῷον — κόραξ, τοῦ μὴ ὑπάρχειν λευκόν —λίθος —κόραξ. εἰ δὲ κατηγορικαὶ αἱ προτάσεις, ὅροι τοῦ μὴ ὑπάρχειν λευκόν —ζῷον —χιών, τοῦ ὑπάρχειν λευκόν —ζῷον —κύκνος. φανερὸν οὖν, ὅταν ὁμοιοσχήμονες ὦσιν αἱ προτάσεις καὶ ἡ μὲν καθόλου ἡ δ' ἐν μέρει, ὅτι οὐδαμῶς γίνεται συλλογισμός. ἀλλ' οὐδ' εἰ τινὶ ἑκατέρῳ ὑπάρχει ἢ μὴ ὑπάρχει, ἢ τῷ μὲν τῷ δὲ μή, ἢ μηδετέρῳ παντί, ἢ ἀδιορίστως. ὅροι δὲ κοινοὶ πάντων λευκόν —ζῷον —ἄνθρωπος, λευκόν —ζῷον —ἄψυχον. [28a]\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὅτι ἐάν τε οὕτως ἔχωσιν οἱ ὅροι πρὸς ἀλλήλους ὡς ἐλέχθη, γίνεται συλλογισμὸς ἐξ ἀνάγκης, ἄν τ' ᾖ συλλογισμός, ἀνάγκη τοὺς ὅρους οὕτως ἔχειν. δῆλον δὲ καὶ ὅτι πάντες ἀτελεῖς εἰσὶν οἱ ἐν τούτῳ τῷ σχήματι συλλογισμοί (πάντες γὰρ ἐπιτελοῦνται προσλαμβανομένων τινῶν, ἃ ἢ ἐνυπάρχει τοῖς ὅροις ἐξ ἀνάγκης ἢ τίθενται ὡς ὑποθέσεις, οἷον ὅταν διὰ τοῦ ἀδυνάτου δεικνύωμεν), καὶ ὅτι οὐ γίνεται καταφατικὸς συλλογισμὸς διὰ τούτου τοῦ σχήματος, ἀλλὰ πάντες στερητικοί, καὶ οἱ καθόλου καὶ οἱ κατὰ μέρος."}]}],"text":"belongs: **TRUE_ONLY** — установлено\nВыведено правом: excluded(I, Камень, Человек); belongs(E, Человек, Камень); excluded(I, Человек, Камень); belongs(E, Камень, Человек); belongs(E, Камень, Грек); excluded(O, Человек, Грек); excluded(I, Камень, Грек); belongs(E, Грек, Камень); excluded(I, Грек, Камень); in_whole(Грек, Человек); belongs(A, Человек, Грек)\nПрименены правила: Celarent, ContradictioUniversalisAffirmativae, ContradictioUniversalisNegativae, 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particular negative over the same pair"},{"language":"grc","status":"official","text":"ὑπέκειτο παντὶ ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"доказанное общеутвердительное исключает частноотрицательное над той же парой (I.2 25a12, I.5 27a38: на этом стоят доказательства обращения и сведения к нелепому)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ConversioParticularisAffirmativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.2 25a20: the particular affirmative converts simply"},{"language":"grc","status":"official","text":"τῶν δὲ ἐν μέρει τὴν μὲν καταφατικὴν ἀντιστρέφειν ἀνάγκη κατὰ μέρος"},{"language":"ru","status":"unofficial","text":"I.2 25a20: частноутвердительное обращается просто — если некоторое удовольствие благо, то и некоторое благо удовольствие"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Darii","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.4 26a23 (Darii): A of all B, B of some C, therefore A of some C"},{"language":"grc","status":"official","text":"ὑπαρχέτω γὰρ τὸ μὲν Α παντὶ τῷ Β, τὸ δὲ Β τινὶ τῷ Γ"},{"language":"ru","status":"unofficial","text":"I.4 26a23 (Darii): A обо всяком B, B о некотором Γ — значит A о некотором Γ"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Form","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"quantity and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых (ἀδιόριστον)"}],"name":"Form","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#InWholeIsPredicationOfAll","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b26: being wholly in another is the same as being predicated of all of it"},{"language":"grc","status":"official","text":"τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν"},{"language":"ru","status":"unofficial","text":"I.1 24b26: если один термин в целом в другом, то другой сказывается обо всём первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#IndefinitumProParticulari","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.7 29a27: an indefinite affirmative premiss put in place of a particular affirmative yields the same syllogism in every figure"},{"language":"grc","status":"official","text":"δῆλον δὲ καὶ ὅτι τὸ ἀδιόριστον ἀντὶ τοῦ κατηγορικοῦ τοῦ ἐν μέρει τιθέμενον τὸν αὐτὸν ποιήσει συλλογισμὸν ἐν ἅπασι τοῖς σχήμασιν"},{"language":"ru","status":"unofficial","text":"I.7 29a27: неопределённое утвердительное суждение, поставленное вместо частноутвердительного, даёт тот же силлогизм во всех фигурах"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#LectioTraditionalis/ConversioPerAccidens","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.2 25a17: the universal affirmative converts per accidens (valid only for non-empty terms)"},{"language":"grc","status":"official","text":"τὴν δὲ κατηγορικὴν ἀντιστρέφειν μὲν ἀναγκαῖον, οὐ μὴν καθόλου ἀλλ' ἐν μέρει"},{"language":"ru","status":"unofficial","text":"I.2 25a17: общеутвердительное обращается с ограничением — если всякое удовольствие благо, то некоторое благо есть удовольствие (верно лишь при непустом термине)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum","kind":"constraint","labels":[{"language":"en","status":"unofficial","text":"an excluded form cannot at the same time be established over the same pair of terms"},{"language":"grc","status":"official","text":"φάσις δὲ καὶ ἀπόφασις οὐχ ὑπάρχουσιν αἱ ἀντικείμεναι ἅμα τῷ αὐτῷ"},{"language":"ru","status":"unofficial","text":"исключённая форма не может быть одновременно установленной над той же парой терминов"}],"package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#PredicationOfAllIsInWhole","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b28: being predicated of all is the same as the other being wholly in it"},{"language":"grc","status":"official","text":"λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν"},{"language":"ru","status":"unofficial","text":"I.1 24b28: если один термин сказывается обо всём другом, то другой в целом в первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Term","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"term: that into which a premiss is resolved (I.1 24b16)"},{"language":"grc","status":"official","text":"ὅρος"},{"language":"ru","status":"unofficial","text":"термин: то, на что разлагается посылка (I.1 24b16)"}],"name":"Term","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the predicate belongs to the subject in the given form"},{"language":"grc","status":"official","text":"ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"сказуемое сказывается о подлежащем в данной форме"}],"name":"belongs","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the form is excluded for this pair of terms by the opposite judgement already established"},{"language":"grc","status":"official","text":"ἀντικεῖσθαι"},{"language":"ru","status":"unofficial","text":"форма суждения исключена для этой пары терминов противолежащим ей доказанным суждением"}],"name":"excluded","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"one term is wholly contained in another"},{"language":"grc","status":"official","text":"ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ"},{"language":"ru","status":"unofficial","text":"внутренний термин целиком содержится в объемлющем"}],"name":"in_whole","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole/arg/inner","labels":[],"name":"inner","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole/arg/outer","labels":[],"name":"outer","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"}],"tables":[]},"provenance":{"acts":[{"contributed":true,"fragmentCount":7,"fragments":["urn:grc:aristoteles:clir:analytica-priora#APR_I1","urn:grc:aristoteles:clir:analytica-priora#APR_I2","urn:grc:aristoteles:clir:analytica-priora#APR_I5"],"jurisdiction":"none","namespace":"urn:grc:aristoteles:clir:analytica-priora","package":"grc-prior-analytics","title":"«Первая аналитика» Аристотеля, книга I, главы 1—7: ассерторическая силлогистика — вне юрисдикции государства — доктрина — EXECUTABLE 6 §33.1"}],"caseHash":"sha256:7094b5ffc32abde68cf994e5d72f1c87a982b85e5cf6e06ecd0b3ef81c056f43","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"вне юрисдикции государства","legalTime":"2026-08-31","mode":"audit","programHash":"sha256:5cc9aab92a96710ee8bbe0c42d337356adcb1e7783e2b7b0916e4e5fe2684a1b","resultHash":"sha256:d3d05a74010e4ffd08c34839ef179657e9d9fced3ea237709c9b1fd2714fbed4","rustCodeHash":"sha256:d368cafc7162ed7a6563df5e5c943a57be26fa8aeb3179b530fe3bdd67fe9be4","timezone":"Asia/Qyzylorda"},"request":{"args":["I","Смертное","Разумное"],"facts":[{"args":["A","Смертное","Человек"],"predicate":"belongs"},{"args":["A","Разумное","Человек"],"predicate":"belongs"}],"kind":"truth","legalTime":"2026-08-31","package":"grc-prior-analytics","predicate":"belongs","proof":true},"sources":[{"contentHash":"sha256:8732b06097cc9f5ba5e9ce6d21088d06dd2bf9e425eed4592d66d41bce3cce71","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I1","kind":"fragment","locator":"article/1","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:53130d12891faa6b07101ad112650f43ad945c55546670200b5d6cca5ce36ae5","language":"grc","status":"official","text":"[24a] Πρῶτον εἰπεῖν περὶ τί καὶ τίνος ἐστὶν ἡ σκέψις, ὅτι περὶ ἀπόδειξιν καὶ ἐπιστήμης ἀποδεικτικῆς· εἶτα διορίσαι τί ἐστι πρότασις καὶ τί ὅρος καὶ τί συλλογισμός, καὶ ποῖος τέλειος καὶ ποῖος ἀτελής, μετὰ δὲ ταῦτα τί τὸ ἐν ὅλῳ εἶναι ἢ μὴ εἶναι τόδε τῷδε, καὶ τί λέγομεν τὸ κατὰ παντὸς ἢ μηδενὸς κατηγορεῖσθαι.\n\nΠρότασις μὲν οὖν ἐστὶ λόγος καταφατικὸς ἢ ἀποφατικός τινος κατά τινος· οὗτος δὲ ἢ καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος. λέγω δὲ καθόλου μὲν τὸ παντὶ ἢ μηδενὶ ὑπάρχειν, ἐν μέρει δὲ τὸ τινὶ ἢ μὴ τινὶ ἢ μὴ παντὶ ὑπάρχειν, ἀδιόριστον δὲ τὸ ὑπάρχειν ἢ μὴ ὑπάρχειν ἄνευ τοῦ καθόλου ἢ κατὰ μέρος, οἷον τὸ τῶν ἐναντίων εἶναι τὴν αὐτὴν ἐπιστήμην ἢ τὸ τὴν ἡδονὴν μὴ εἶναι ἀγαθόν. διαφέρει δὲ ἡ ἀποδεικτικὴ πρότασις τῆς διαλεκτικῆς, ὅτι ἡ μὲν ἀποδεικτικὴ λῆψις θατέρου μορίου τῆς ἀντιφάσεώς ἐστιν (οὐ γὰρ ἐρωτᾷ ἀλλὰ λαμβάνει ὁ ἀποδεικνύων), ἡ δὲ διαλεκτικὴ ἐρώτησις ἀντιφάσεώς ἐστιν. οὐδὲν δὲ διοίσει πρὸς τὸ γενέσθαι τὸν ἑκατέρου συλλογισμόν· καὶ γὰρ ὁ ἀποδεικνύων καὶ ὁ ἐρωτῶν συλλογίζεται λαβών τι κατά τινος ὑπάρχειν ἢ μὴ ὑπάρχειν. ὥστε ἔσται συλλογιστικὴ μὲν πρότασις ἁπλῶς κατάφασις ἢ ἀπόφασίς τινος κατά τινος τὸν εἰρημένον τρόπον, ἀποδεικτικὴ δέ, ἐὰν ἀληθὴς ᾖ καὶ διὰ τῶν ἐξ ἀρχῆς [24b] ὑποθέσεων εἰλημμένη, διαλεκτικὴ δὲ πυνθανομένῳ μὲν ἐρώτησις ἀντιφάσεως, συλλογιζομένῳ δὲ λῆψις τοῦ φαινομένου καὶ ἐνδόξου, καθάπερ ἐν τοῖς Τοπικοῖς εἴρηται. τί μὲν οὖν ἐστὶ πρότασις, καὶ τί διαφέρει συλλογιστικὴ καὶ ἀποδεικτικὴ καὶ διαλεκτική, δι' ἀκριβείας μὲν ἐν τοῖς ἑπομένοις ῥηθήσεται, πρὸς δὲ τὴν παροῦσαν χρείαν ἱκανῶς ἡμῖν διωρίσθω τὰ νῦν.\n\nὍρον δὲ καλῶ εἰς ὃν διαλύεται ἡ πρότασις, οἷον τό τε κατηγορούμενον καὶ τὸ καθ' οὗ κατηγορεῖται, προστιθεμένου [ἢ διαιρουμένου] τοῦ εἶναι ἢ μὴ εἶναι. συλλογισμὸς δέ ἐστι λόγος ἐνᾧ τεθέντων τινῶν ἕτερόν τι τῶν κειμένων ἐξ ἀνάγκης συμβαίνει τῷ ταῦτα εἶναι. λέγω δὲ τῷ ταῦτα εἶναι τὸ διὰ ταῦτα συμβαίνειν, τὸ δὲ διὰ ταῦτα συμβαίνειν τὸ μηδενὸς ἔξωθεν ὅρου προσδεῖν πρὸς τὸ γενέσθαι τὸ ἀναγκαῖον. τέλειον μὲν οὖν καλῶ συλλογισμὸν τὸν μηδενὸς ἄλλου προσδεόμενον παρὰ τὰ εἰλημμένα πρὸς τὸ φανῆναι τὸ ἀναγκαῖον, ἀτελῆ δὲ τὸν προσδεόμενον ἢ ἑνὸς ἢ πλειόνων, ἃ ἔστι μὲν ἀναγκαῖα διὰ τῶν ὑποκειμένων ὅρων, οὐ μὴν εἴληπται διὰ προτάσεων. τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν. λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν [τοῦ ὑποκειμένου] καθ' οὗ θάτερον οὐ λεχθήσεται· καὶ τὸ κατὰ μηδενὸς ὡσαύτως. [25a]"}]},{"contentHash":"sha256:cdb8d6373fd8797e6396011356dd19d286a545811fb98e64eb848189f8da92aa","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I2","kind":"fragment","locator":"article/2","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:2498d199f2870c11a027d3c4085755dd09a100b301445c6937393dbdff477649","language":"grc","status":"official","text":"Ἐπεὶ δὲ πᾶσα πρότασίς ἐστιν ἢ τοῦ ὑπάρχειν ἢ τοῦ ἐξ ἀνάγκης ὑπάρχειν ἢ τοῦ ἐνδέχεσθαι ὑπάρχειν, τούτων δὲ αἱ μὲν καταφατικαὶ αἱ δὲ ἀποφατικαὶ καθ' ἑκάστην πρόσρησιν, πάλιν δὲ τῶν καταφατικῶν καὶ ἀποφατικῶν αἱ μὲν καθόλου αἱ δὲ ἐν μέρει αἱ δὲ ἀδιόριστοι, τὴν μὲν ἐν τῷ ὑπάρχειν καθόλου στερητικὴν ἀνάγκη τοῖς ὅροις ἀντιστρέφειν, οἷον εἰ μηδεμία ἡδονὴ ἀγαθόν, οὐδ' ἀγαθὸν οὐδὲν ἔσται ἡδονή· τὴν δὲ κατηγορικὴν ἀντιστρέφειν μὲν ἀναγκαῖον, οὐ μὴν καθόλου ἀλλ' ἐν μέρει, οἷον εἰ πᾶσα ἡδονὴ ἀγαθόν, καὶ ἀγαθόν τι εἶναι ἡδονήν· τῶν δὲ ἐν μέρει τὴν μὲν καταφατικὴν ἀντιστρέφειν ἀνάγκη κατὰ μέρος (εἰ γὰρ ἡδονή τις ἀγαθόν, καὶ ἀγαθόν τι ἔσται ἡδονή), τὴν δὲ στερητικὴν οὐκ ἀναγκαῖον· (οὐ γὰρ εἰ ἄνθρωπος μὴ ὑπάρχει τινὶ ζῴῳ, καὶ ζῷον οὐχ ὑπάρχει τινὶ ἀνθρώπῳ).\n\nΠρῶτον μὲν οὖν ἔστω στερητικὴ καθόλου ἡ Α Β πρότασις. εἰ οὖν μηδενὶ τῷ Β τὸ Α ὑπάρχει, οὐδὲ τῷ Α οὐδενὶ ὑπάρξει τὸ Β· εἰ γάρ τινι, οἷον τῷ Γ, οὐκ ἀληθὲς ἔσται τὸ μηδενὶ τῷ Β τὸ Α ὑπάρχειν· τὸ γὰρ Γ τῶν Β τί ἐστιν. εἰ δὲ παντὶ τὸ Α τῷ Β, καὶ τὸ Β τινὶ τῷ Α ὑπάρξει· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β ὑπάρξει· ἀλλ' ὑπέκειτο παντὶ ὑπάρχειν. ὁμοίως δὲ καὶ εἰ κατὰ μέρος ἐστὶν ἡ πρότασις. εἰ γὰρ τὸ Α τινὶ τῷ Β, καὶ τὸ Β τινὶ τῷ Α ἀνάγκη ὑπάρχειν· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β. εἰ δέ γε τὸ Α τινὶ τῷ Β μὴ ὑπάρχει, οὐκ ἀνάγκη καὶ τὸ Β τινὶ τῷ Α μὴ ὑπάρχειν, οἷον εἰ τὸ μὲν Β ἐστὶ ζῷον, τὸ δὲ Α ἄνθρωπος· ἄνθρωπος μὲν γὰρ οὐ παντὶ ζῴῳ, ζῷον δὲ παντὶ ἀνθρώπῳ ὑπάρχει."}]},{"contentHash":"sha256:d99f9b6cc6656105148fa151fb6d4cd3db915348a06dad7c8dcbc7548f1c6b74","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I4","kind":"fragment","locator":"article/4","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:c3355707ea934894059c02faf44f176b3d078e8a35ff34e425f09b1b1695f4ee","language":"grc","status":"official","text":"Διωρισμένων δὲ τούτων λέγωμεν ἤδη διὰ τίνων καὶ πότε καὶ πῶς γίνεται πᾶς συλλογισμός· ὕστερον δὲ λεκτέον περὶ ἀποδείξεως. πρότερον δὲ περὶ συλλογισμοῦ λεκτέον ἢ περὶ ἀποδείξεως διὰ τὸ καθόλου μᾶλλον εἶναι τὸν συλλογισμόν· ἡ μὲν γὰρ ἀπόδειξις συλλογισμός τις, ὁ συλλογισμὸς δὲ οὐ πᾶς ἀπόδειξις.\n\nὍταν οὖν ὅροι τρεῖς οὕτως ἔχωσι πρὸς ἀλλήλους ὥστε τὸν ἔσχατον ἐν ὅλῳ εἶναι τῷ μέσῳ καὶ τὸν μέσον ἐν ὅλῳ τῷ πρώτῳ ἢ εἶναι ἢ μὴ εἶναι, ἀνάγκη τῶν ἄκρων εἶναι συλλογισμὸν τέλειον. καλῶ δὲ μέσον μὲν ὃ καὶ αὐτὸ ἐν ἄλλῳ καὶ ἄλλο ἐν τούτῳ ἐστίν, ὃ καὶ τῇ θέσει γίνεται μέσον· ἄκρα δὲ τὸ αὐτό τε ἐν ἄλλῳ ὂν καὶ ἐν ᾧ ἄλλο ἐστίν. εἰ γὰρ τὸ Α κατὰ παντὸς τοῦ Β καὶ τὸ Β κατὰ παντὸς τοῦ Γ, ἀνάγκη τὸ Α κατὰ παντὸς τοῦ Γ κατηγορεῖσθαι· πρότερον γὰρ εἴρηται πῶς τὸ κατὰ παντὸς λέγομεν. ὁμοίως δὲ καὶ εἰ τὸ μὲν Α κατὰ μη[26a] δενὸς τοῦ Β, τὸ δὲ Β κατὰ παντὸς τοῦ Γ, ὅτι τὸ Α οὐδενὶ τῷ Γ ὑπάρξει. εἰ δὲ τὸ μὲν πρῶτον παντὶ τῷ μέσῳ ἀκολουθεῖ, τὸ δὲ μέσον μηδενὶ τῷ ἐσχάτῳ ὑπάρχει, οὐκ ἔσται συλλογισμὸς τῶν ἄκρων· οὐδὲν γὰρ ἀναγκαῖον συμβαίνει τῷ ταῦτα εἶναι· καὶ γὰρ παντὶ καὶ μηδενὶ ἐνδέχεται τὸ πρῶτον τῷ ἐσχάτῳ ὑπάρχειν, ὥστε οὔτε τὸ κατὰ μέρος οὔτε τὸ καθόλου γίνεται ἀναγκαῖον· μηδενὸς δὲ ὄντος ἀναγκαίου διὰ τούτων οὐκ ἔσται συλλογισμός. ὅροι τοῦ παντὶ ὑπάρχειν ζῷον —ἄνθρωπος — ἵππος, τοῦ μηδενὶ ζῷον —ἄνθρωπος —λίθος. οὐδ' ὅταν μήτε τὸ πρῶτον τῷ μέσῳ μήτε τὸ μέσον τῷ ἐσχάτῳ μηδενὶ ὑπάρχῃ, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν ἐπιστήμη —γραμμή —ἰατρική, τοῦ μὴ ὑπάρχειν ἐπιστήμη —γραμμή —μονάς. καθόλου μὲν οὖν ὄντων τῶν ὅρων, δῆλον ἐν τούτῳ τῷ σχήματι πότε ἔσται καὶ πότε οὐκ ἔσται συλλογισμός, καὶ ὅτι ὄντος τε συλλογισμοῦ τοὺς ὅρους ἀναγκαῖον ἔχειν ὡς εἴπομεν, ἄν θ' οὕτως ἔχωσιν, ὅτι ἔσται συλλογισμός.\n\nΕἰ δ' ὁ μὲν καθόλου τῶν ὅρων ὁ δ' ἐν μέρει πρὸς τὸν ἕτερον, ὅταν μὲν τὸ καθόλου τεθῇ πρὸς τὸ μεῖζον ἄκρον ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ ἐν μέρει πρὸς τὸ ἔλαττον κατηγορικόν, ἀνάγκη συλλογισμὸν εἶναι τέλειον, ὅταν δὲ πρὸς τὸ ἔλαττον ἢ καὶ ἄλλως πως ἔχωσιν οἱ ὅροι, ἀδύνατον. λέγω δὲ μεῖζον μὲν ἄκρον ἐν ᾧ τὸ μέσον ἐστίν, ἔλαττον δὲ τὸ ὑπὸ τὸ μέσον ὄν. ὑπαρχέτω γὰρ τὸ μὲν Α παντὶ τῷ Β, τὸ δὲ Β τινὶ τῷ Γ. οὐκοῦν εἰ ἔστι παντὸς κατηγορεῖσθαι τὸ ἐν ἀρχῇ λεχθέν, ἀνάγκη τὸ Α τινὶ τῷ Γ ὑπάρχειν. καὶ εἰ τὸ μὲν Α μηδενὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ, ἀνάγκη τὸ Α τινὶ τῷ Γ μὴ ὑπάρχειν· ὥρισται γὰρ καὶ τὸ κατὰ μηδενὸς πῶς λέγομεν· ὥστε ἔσται συλλογισμὸς τέλειος. ὁμοίως δὲ καὶ εἰ ἀδιόριστον εἴη τὸ Β Γ, κατηγορικὸν ὄν· ὁ γὰρ αὐτὸς ἔσται συλλογισμὸς ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος.\n\nἘὰν δὲ πρὸς τὸ ἔλαττον ἄκρον τὸ καθόλου τεθῇ ἢ κατηγορικὸν ἢ στερητικόν, οὐκ ἔσται συλλογισμός, οὔτε καταφατικοῦ οὔτε ἀποφατικοῦ τοῦ ἀδιορίστου ἢ κατὰ μέρος ὄντος, οἷον εἰ τὸ μὲν Α τινὶ τῷ Β ὑπάρχει ἢ μὴ ὑπάρχει, τὸ δὲ Β παντὶ τῷ Γ ὑπάρχει· ὅροι τοῦ ὑπάρχειν ἀγαθόν —ἕξις —φρόνησις, τοῦ μὴ ὑπάρχειν ἀγαθόν —ἕξις — ἀμαθία. πάλιν εἰ τὸ μὲν Β μηδενὶ τῷ Γ, τὸ δὲ Α τινὶ τῷ Β ἢ ὑπάρχει ἢ μὴ ὑπάρχει ἢ μὴ παντὶ ὑπάρχει, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι λευκόν —ἵππος —κύκνος, λευκόν —ἵππος —κόραξ. οἱ αὐτοὶ δὲ καὶ εἰ τὸ Α Β ἀδιόριστον. Οὐδ' ὅταν τὸ μὲν πρὸς [26b] τῷ μείζονι ἄκρῳ καθόλου γένηται ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ πρὸς τῷ ἐλάττονι στερητικὸν κατὰ μέρος, οὐκ ἔσται συλλογισμός [ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος], οἷον εἰ τὸ μὲν Α παντὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ μή, ἢ εἰ μὴ παντὶ ὑπάρχει· ᾧ γὰρ ἄν τινι μὴ ὑπάρχῃ τὸ μέσον, τούτῳ καὶ παντὶ καὶ οὐδενὶ ἀκολουθήσει τὸ πρῶτον. ὑποκείσθωσαν γὰρ οἱ ὅροι ζῷον —ἄνθρωπος —λευκόν· εἶτα καὶ ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, εἰλήφθω κύκνος καὶ χιών· οὐκοῦν τὸ ζῷον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός, ὥστε οὐκ ἔσται συλλογισμός. πάλιν τὸ μὲν Α μηδενὶ τῷ Β ὑπαρχέτω, τὸ δὲ Β τινὶ τῷ Γ μὴ ὑπαρχέτω· καὶ οἱ ὅροι ἔστωσαν ἄψυχον —ἄνθρωπος —λευκόν· εἶτα εἰλήφθωσαν, ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, κύκνος καὶ χιών· τὸ γὰρ ἄψυχον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός. ἔτι ἐπεὶ ἀδιόριστον τὸ τινὶ τῷ Γ τὸ Β μὴ ὑπάρχειν, ἀληθεύεται δέ, καὶ εἰ μηδενὶ ὑπάρχει καὶ εἰ μὴ παντί, ὅτι τινὶ οὐχ ὑπάρχει, ληφθέντων δὲ τοιούτων ὅρων ὥστε μηδενὶ ὑπάρχειν οὐ γίνεται συλλογισμός (τοῦτο γὰρ εἴρηται πρότερον), φανερὸν οὖν ὅτι τῷ οὕτως ἔχειν τοὺς ὅρους οὐκ ἔσται συλλογισμός· ἦν γὰρ ἂν καὶ ἐπὶ τούτων. ὁμοίως δὲ δειχθήσεται καὶ εἰ τὸ καθόλου τεθείη στερητικόν. Οὐδὲ ἐὰν ἄμφω τὰ διαστήματα κατὰ μέρος ἢ κατηγορικῶς ἢ στερητικῶς, ἢ τὸ μὲν κατηγορικῶς τὸ δὲ στερητικῶς λέγηται, ἢ τὸ μὲν ἀδιόριστον τὸ δὲ διωρισμένον, ἢ ἄμφω ἀδιόριστα, οὐκ ἔσται συλλογισμὸς οὐδαμῶς. ὅροι δὲ κοινοὶ πάντων ζῷον —λευκόν —ἵππος, ζῷον —λευκόν —λίθος.\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὡς ἐὰν ᾖ συλλογισμὸς ἐν τούτῳ τῷ σχήματι κατὰ μέρος, ὅτι ἀνάγκη τοὺς ὅρους οὕτως ἔχειν ὡς εἴπομεν· ἄλλως γὰρ ἐχόντων οὐδαμῶς γίνεται. δῆλον δὲ καὶ ὅτι πάντες οἱ ἐν αὐτῷ συλλογισμοὶ τέλειοί εἰσι· (πάντες γὰρ ἐπιτελοῦνται διὰ τῶν ἐξ ἀρχῆς ληφθέντων), καὶ ὅτι πάντα τὰ προβλήματα δείκνυται διὰ τούτου τοῦ σχήματος· καὶ γὰρ τὸ παντὶ καὶ τὸ μηδενὶ καὶ τὸ τινὶ καὶ τὸ μή τινι ὑπάρχειν. καλῶ δὲ τὸ τοιοῦτον σχῆμα πρῶτον."}]},{"contentHash":"sha256:838a16dd52ed3fd537beb59ea50009594d69ce632d7520ecb7081f0c430791a9","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I5","kind":"fragment","locator":"article/5","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:5e4ff1da45a88c46862da30228b9cf2a9208c50fc2112570a12f87dd7e1144fb","language":"grc","status":"official","text":"Ὅταν δὲ τὸ αὐτὸ τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἢ ἑκατέρῳ παντὶ ἢ μηδενί, τὸ μὲν σχῆμα τὸ τοιοῦτον καλῶ δεύτερον, μέσον δὲ ἐν αὐτῷ λέγω τὸ κατηγορούμενον ἀμφοῖν, ἄκρα δὲ καθ' ὧν λέγεται τοῦτο, μεῖζον δὲ ἄκρον τὸ πρὸς τῷ μέσῳ κείμενον· ἔλαττον δὲ τὸ πορρωτέρω τοῦ μέσου. τίθεται δὲ τὸ μέσον ἔξω μὲν τῶν ἄκρων, πρῶτον δὲ τῇ θέσει. [27a] τέλειος μὲν οὖν οὐκ ἔσται συλλογισμὸς οὐδαμῶς ἐν τούτῳ τῷ σχήματι, δυνατὸς δ' ἔσται καὶ καθόλου καὶ μὴ καθόλου τῶν ὅρων ὄντων. καθόλου μὲν οὖν ὄντων ἔσται συλλογισμὸς ὅταν τὸ μέσον τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἂν πρὸς ὁποτερῳοῦν ᾖ τὸ στερητικόν· ἄλλως δ' οὐδαμῶς. κατηγορείσθω γὰρ τὸ Μ τοῦ μὲν Ν μηδενός, τοῦ δὲ Ξ παντός. ἐπεὶ οὖν ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ παντὶ τῷ Ξ ὑπέκειτο· ὥστε τὸ Ν οὐδενὶ τῷ Ξ· τοῦτο γὰρ δέδεικται πρότερον. πάλιν εἰ τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ μηδενί, οὐδὲ τὸ Ξ τῷ Ν οὐδενὶ ὑπάρξει (εἰ γὰρ τὸ Μ οὐδενὶ τῷ Ξ, οὐδὲ τὸ Ξ οὐδενὶ τῷ Μ· τὸ δέ γε Μ παντὶ τῷ Ν ὑπῆρχεν· τὸ ἄρα Ξ οὐδενὶ τῷ Ν ὑπάρξει· γεγένηται γὰρ πάλιν τὸ πρῶτον σχῆμα)· ἐπεὶ δὲ ἀντιστρέφει τὸ στερητικόν, οὐδὲ τὸ Ν οὐδενὶ τῷ Ξ ὑπάρξει, ὥστ' ἔσται ὁ αὐτὸς συλλογισμός. ἔστι δὲ δεικνύναι ταῦτα καὶ εἰς τὸ ἀδύνατον ἄγοντας. ὅτι μὲν οὖν γίνεται συλλογισμὸς οὕτως ἐχόντων τῶν ὅρων, φανερόν, ἀλλ' οὐ τέλειος· οὐ γὰρ μόνον ἐκ τῶν ἐξ ἀρχῆς ἀλλὰ καὶ ἐξ ἄλλων ἐπιτελεῖται τὸ ἀναγκαῖον. ἐὰν δὲ τὸ Μ παντὸς τοῦ Ν καὶ τοῦ Ξ κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν οὐσία —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν οὐσία —ζῷον —ἀριθμός· μέσον οὐσία. οὐδ' ὅταν μήτε τοῦ Ν μήτε τοῦ Ξ μηδενὸς κατηγορῆται τὸ Μ. ὅροι τοῦ ὑπάρχειν γραμμή —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν γραμμή — ζῷον —λίθος. φανερὸν οὖν ὅτι ἂν ᾖ συλλογισμὸς καθόλου τῶν ὅρων ὄντων, ἀνάγκη τοὺς ὅρους ἔχειν ὡς ἐν ἀρχῇ εἴπομεν· ἄλλως γὰρ ἐχόντων οὐ γίνεται τὸ ἀναγκαῖον.\n\nἘὰν δὲ πρὸς τὸν ἕτερον ᾖ καθόλου τὸ μέσον, ὅταν μὲν πρὸς τὸν μείζω γένηται καθόλου ἢ κατηγορικῶς ἢ στερητικῶς, πρὸς δὲ τὸν ἐλάττω κατὰ μέρος καὶ ἀντικειμένως τῷ καθόλου (λέγω δὲ τὸ ἀντικειμένως, εἰ μὲν τὸ καθόλου στερητικόν, τὸ ἐν μέρει καταφατικόν· εἰ δὲ κατηγορικὸν τὸ καθόλου, τὸ ἐν μέρει στερητικόν), ἀνάγκη γίνεσθαι συλλογισμὸν στερητικὸν κατὰ μέρος. εἰ γὰρ τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν. ἐπεὶ γὰρ ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ ὑπέκειτο τινὶ τῷ Ξ ὑπάρχειν· ὥστε τὸ Ν τινὶ τῷ Ξ οὐχ ὑπάρξει· γίνεται γὰρ συλλογισμὸς διὰ τοῦ πρώτου σχήματος. πάλιν εἰ τῷ μὲν Ν παντὶ τὸ Μ, τῷ δὲ Ξ τινὶ μὴ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν· εἰ γὰρ παντὶ ὑπάρχει, κατηγορεῖται δὲ καὶ τὸ Μ παντὸς τοῦ Ν, ἀνάγκη τὸ Μ [27b] παντὶ τῷ Ξ ὑπάρχειν· ὑπέκειτο δὲ τινὶ μὴ ὑπάρχειν. καὶ εἰ τὸ Μ τῷ μὲν Ν παντὶ ὑπάρχει τῷ δὲ Ξ μὴ παντί, ἔσται συλλογισμὸς ὅτι οὐ παντὶ τῷ Ξ τὸ Ν· ἀπόδειξις δ' ἡ αὐτή. ἐὰν δὲ τοῦ μὲν Ξ παντὸς τοῦ δὲ Ν μὴ παντὸς κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι ζῷον —οὐσία —κόραξ, ζῷον —λευκόν — κόραξ. οὐδ' ὅταν τοῦ μὲν Ξ μηδενός, τοῦ δὲ Ν τινός. ὅροι τοῦ ὑπάρχειν ζῷον —οὐσία —μονάς, τοῦ μὴ ὑπάρχειν ζῷον —οὐσία — ἐπιστήμη.\n\nὍταν μὲν οὖν ἀντικείμενον ᾖ τὸ καθόλου τῷ κατὰ μέρος, εἴρηται πότ' ἔσται καὶ πότ' οὐκ ἔσται συλλογισμός· ὅταν δὲ ὁμοιοσχήμονες ὦσιν αἱ προτάσεις, οἷον ἀμφότεραι στερητικαὶ ἢ καταφατικαί, οὐδαμῶς ἔσται συλλογισμός. ἔστωσαν γὰρ πρῶτον στερητικαί, καὶ τὸ καθόλου κείσθω πρὸς τὸ μεῖζον ἄκρον, οἷον τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ μὴ ὑπαρχέτω· ἐνδέχεται δὴ καὶ παντὶ καὶ μηδενὶ τῷ Ξ τὸ Ν ὑπάρχειν. ὅροι τοῦ μὲν μὴ ὑπάρχειν μέλαν —χιών —ζῷον· τοῦ δὲ παντὶ ὑπάρχειν οὐκ ἔστι λαβεῖν, εἰ τὸ Μ τῷ Ξ τινὶ μὲν ὑπάρχει τινὶ δὲ μή. εἰ γὰρ παντὶ τῷ Ξ τὸ Ν, τὸ δὲ Μ μηδενὶ τῷ Ν, τὸ Μ οὐδενὶ τῷ Ξ ὑπάρξει· ἀλλ' ὑπέκειτο τινὶ ὑπάρχειν. οὕτω μὲν οὖν οὐκ ἐγχωρεῖ λαβεῖν ὅρους, ἐκ δὲ τοῦ ἀδιορίστου δεικτέον· ἐπεὶ γὰρ ἀληθεύεται τὸ τινὶ μὴ ὑπάρχειν τὸ Μ τῷ Ξ καὶ εἰ μηδενὶ ὑπάρχει, μηδενὶ δὲ ὑπάρχοντος οὐκ ἦν συλλογισμός, φανερὸν ὅτι οὐδὲ νῦν ἔσται. πάλιν ἔστωσαν κατηγορικαί, καὶ τὸ καθόλου κείσθω ὁμοίως, οἷον τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ τινὶ ὑπαρχέτω. ἐνδέχεται δὴ τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ μηδενὶ ὑπάρχειν λευκόν — κύκνος —λίθος τοῦ δὲ παντὶ οὐκ ἔσται λαβεῖν διὰ τὴν αὐτὴν αἰτίαν ἥνπερ πρότερον, ἀλλ' ἐκ τοῦ ἀδιορίστου δεικτέον. εἰ δὲ τὸκαθόλου πρὸς τὸ ἔλαττον ἄκρον ἐστί, καὶ τὸ Μ τῷ μὲν Ξ μηδενὶ τῷ δὲ Ν τινὶ μὴ ὑπάρχει, ἐνδέχεται τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ ὑπάρχειν λευκόν —ζῷον — κόραξ, τοῦ μὴ ὑπάρχειν λευκόν —λίθος —κόραξ. εἰ δὲ κατηγορικαὶ αἱ προτάσεις, ὅροι τοῦ μὴ ὑπάρχειν λευκόν —ζῷον —χιών, τοῦ ὑπάρχειν λευκόν —ζῷον —κύκνος. φανερὸν οὖν, ὅταν ὁμοιοσχήμονες ὦσιν αἱ προτάσεις καὶ ἡ μὲν καθόλου ἡ δ' ἐν μέρει, ὅτι οὐδαμῶς γίνεται συλλογισμός. ἀλλ' οὐδ' εἰ τινὶ ἑκατέρῳ ὑπάρχει ἢ μὴ ὑπάρχει, ἢ τῷ μὲν τῷ δὲ μή, ἢ μηδετέρῳ παντί, ἢ ἀδιορίστως. ὅροι δὲ κοινοὶ πάντων λευκόν —ζῷον —ἄνθρωπος, λευκόν —ζῷον —ἄψυχον. [28a]\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὅτι ἐάν τε οὕτως ἔχωσιν οἱ ὅροι πρὸς ἀλλήλους ὡς ἐλέχθη, γίνεται συλλογισμὸς ἐξ ἀνάγκης, ἄν τ' ᾖ συλλογισμός, ἀνάγκη τοὺς ὅρους οὕτως ἔχειν. δῆλον δὲ καὶ ὅτι πάντες ἀτελεῖς εἰσὶν οἱ ἐν τούτῳ τῷ σχήματι συλλογισμοί (πάντες γὰρ ἐπιτελοῦνται προσλαμβανομένων τινῶν, ἃ ἢ ἐνυπάρχει τοῖς ὅροις ἐξ ἀνάγκης ἢ τίθενται ὡς ὑποθέσεις, οἷον ὅταν διὰ τοῦ ἀδυνάτου δεικνύωμεν), καὶ ὅτι οὐ γίνεται καταφατικὸς συλλογισμὸς διὰ τούτου τοῦ σχήματος, ἀλλὰ πάντες στερητικοί, καὶ οἱ καθόλου καὶ οἱ κατὰ μέρος."}]},{"contentHash":"sha256:ce46468cd29f0228e48c08c55451948a408d380366dc87ddfe8b389160c52873","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I7","kind":"fragment","locator":"article/7","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:3a547cf6f7ab5e9ca3af2f66fe83face7f5adb94b8a5f7380a298f1484f6e6fd","language":"grc","status":"official","text":"Δῆλον δὲ καὶ ὅτι ἐν ἅπασι τοῖς σχήμασιν, ὅταν μὴ γίνηται συλλογισμός, κατηγορικῶν μὲν ἢ στερητικῶν ἀμφοτέρων ὄντων τῶν ὅρων οὐδὲν ὅλως γίνεται ἀναγκαῖον, κατηγορικοῦ δὲ καὶ στερητικοῦ, καθόλου ληφθέντος τοῦ στερητικοῦ ἀεὶ γίνεται συλλογισμὸς τοῦ ἐλάττονος ἄκρου πρὸς τὸ μεῖζον, οἷον εἰ τὸ μὲν Α παντὶ τῷ Β ἢ τινί, τὸ δὲ Β μηδενὶ τῷ Γ· ἀντιστρεφομένων γὰρ τῶν προτάσεων ἀνάγκη τὸ Γ τινὶ τῷ Α μὴ ὑπάρχειν. ὁμοίως δὲ κἀπὶ τῶν ἑτέρων σχημάτων· ἀεὶ γὰρ γίνεται διὰ τῆς ἀντιστροφῆς συλλογισμός. δῆλον δὲ καὶ ὅτι τὸ ἀδιόριστον ἀντὶ τοῦ κατηγορικοῦ τοῦ ἐν μέρει τιθέμενον τὸν αὐτὸν ποιήσει συλλογισμὸν ἐν ἅπασι τοῖς σχήμασιν.\n\nΦανερὸν δὲ καὶ ὅτι πάντες οἱ ἀτελεῖς συλλογισμοὶ τελειοῦνται διὰ τοῦ πρώτου σχήματος. ἢ γὰρ δεικτικῶς ἢ διὰ τοῦ ἀδυνάτου περαίνονται πάντες· ἀμφοτέρως δὲ γίνεται τὸ πρῶτον σχῆμα, δεικτικῶς μὲν τελειουμένων, ὅτι διὰ τῆς ἀντιστροφῆς ἐπεραίνοντο πάντες, ἡ δ' ἀντιστροφὴ τὸ πρῶτον ἐποίει σχῆμα, διὰ δὲ τοῦ ἀδυνάτου δεικνυμένων, ὅτι τεθέντος τοῦ ψεύδους ὁ συλλογισμὸς γίνεται διὰ τοῦ πρώτου σχήματος, οἷον ἐν τῷ τελευταίῳ σχήματι, εἰ τὸ Α καὶ τὸ Β παντὶ τῷ Γ ὑπάρχει, ὅτι τὸ Α τινὶ τῷ Β ὑπάρχει· εἰ γὰρ μηδενί, τὸ δὲ Β παντὶ τῷ Γ, οὐδενὶ τῷ Γ τὸ Α· ἀλλ' ἦν παντί. ὁμοίως δὲ καὶ ἐπὶ τῶν ἄλλων. [29b]\n\nἜστι δὲ καὶ ἀναγαγεῖν πάντας τοὺς συλλογισμοὺς εἰς τοὺς ἐν τῷ πρώτῳ σχήματι καθόλου συλλογισμούς. οἱ μὲν γὰρ ἐν τῷ δευτέρῳ φανερὸν ὅτι δι' ἐκείνων τελειοῦνται, πλὴν οὐχ ὁμοίως πάντες, ἀλλ' οἱ μὲν καθόλου τοῦ στερητικοῦ ἀντιστραφέντος, τῶν δ' ἐν μέρει ἑκάτερος διὰ τῆς εἰς τὸ ἀδύνατον ἀπαγωγῆς. οἱ δ' ἐν τῷ πρώτῳ, οἱ κατὰ μέρος, ἐπιτελοῦνται μὲν καὶ δι' αὑτῶν, ἔστι δὲ καὶ διὰ τοῦ δευτέρου σχήματος δεικνύναι εἰς ἀδύνατον ἀπάγοντας, οἷον εἰ τὸ Α παντὶ τῷ Β, τὸ δὲ Β τινὶ τῷ Γ, ὅτι τὸ Α τινὶ τῷ Γ· εἰ γὰρ μηδενί, τῷ δὲ Β παντί, οὐδενὶ τῷ Γ τὸ Β ὑπάρξει· τοῦτο γὰρ ἴσμεν διὰ τοῦ δευτέρου σχήματος. ὁμοίως δὲ καὶ ἐπὶ τοῦ στερητικοῦ ἔσται ἡ ἀπόδειξις. εἰ γὰρ τὸ Α μηδενὶ τῷ Β, τὸ δὲ Β τινὶ τῷ Γ ὑπάρχει, τὸ Α τινὶ τῷ Γ οὐχ ὑπάρξει· εἰ γὰρ παντί, τῷ δὲ Β μηδενὶ ὑπάρχει, οὐδενὶ τῷ Γ τὸ Β ὑπάρξει· τοῦτο δ' ἦν τὸ μέσον σχῆμα. ὥστ' ἐπεὶ οἱ μὲν ἐν τῷ μέσῳ σχήματι συλλογισμοὶ πάντες ἀνάγονται εἰς τοὺς ἐν τῷ πρώτῳ καθόλου συλλογισμούς, οἱ δὲ κατὰ μέρος ἐν τῷ πρώτῳ εἰς τοὺς ἐν τῷ μέσῳ, φανερὸν ὅτι καὶ οἱ κατὰ μέρος ἀναχθήσονται εἰς τοὺς ἐν τῷ πρώτῳ σχήματι καθόλου συλλογισμούς. οἱ δ'ἐν τῷ τρίτῳ καθόλου μὲν ὄντων τῶν ὅρων εὐθὺς ἐπιτελοῦνται δι' ἐκείνων τῶν συλλογισμῶν, ὅταν δ' ἐν μέρει ληφθῶσι, διὰ τῶν ἐν μέρει συλλογισμῶν τῶν ἐν τῷ πρώτῳ σχήματι· οὗτοι δὲ ἀνήχθησαν εἰς ἐκείνους, ὥστε καὶ οἱ ἐν τῷ τρίτῳ σχήματι, οἱ κατὰ μέρος. φανερὸν οὖν ὅτι πάντες ἀναχθήσονται εἰς τοὺς ἐν τῷ πρώτῳ σχήματι καθόλου συλλογισμούς.\n\nΟἱ μὲν οὖν τῶν συλλογισμῶν ὑπάρχειν ἢ μὴ ὑπάρχειν δεικνύντες εἴρηται πῶς ἔχουσι, καὶ καθ' ἑαυτοὺς οἱ ἐκ τοῦ αὐτοῦ σχήματος καὶ πρὸς ἀλλήλους οἱ ἐκ τῶν ἑτέρων."}]}],"text":"belongs: **NEITHER** — НЕ УСТАНОВЛЕНО: в формализованном праве нет ни подтверждения, ни опровержения (открытый мир §69) — это не «нет»\nВыведено правом: excluded(O, Смертное, Человек); in_whole(Человек, Смертное); belongs(A, Смертное, Человек); excluded(O, Разумное, Человек); in_whole(Человек, Разумное); belongs(A, Разумное, Человек)\nПрименены правила: ContradictioUniversalisAffirmativae, InWholeIsPredicationOfAll, PredicationOfAllIsInWhole\nПравило «I.2 25a20: the particular affirmative converts simply» вывело бы это при посылках:\n    ? belongs(I, Разумное, Смертное) — NEITHER\nПравило «I.4 26a23 (Darii): A of all B, B of some C, therefore A of some C» вывело бы это при посылках:\n    ✓ belongs(A, Смертное, Человек) — TRUE_ONLY\n    ? belongs(I, Человек, Разумное) — NEITHER\nПравило «I.7 29a27: an indefinite affirmative premiss put in place of a particular affirmative yields the same syllogism in every figure» вывело бы это при посылках:\n    ? belongs(IndefiniteAffirmative, Смертное, Разумное) — NEITHER\nПравило «I.2 25a17: the universal affirmative converts per accidens (valid only for non-empty terms)» вывело бы это при посылках:\n    ? belongs(A, Разумное, Смертное) — NEITHER\n(? — факт не подан и не выведен; ✗ — установлено обратное)\nПолные правила с посылками: law_rules({\"predicate\": \"belongs\"})\nПраво (вне юрисдикции государства): «Первая аналитика» 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and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых 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:{\"v0\":{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#E\",\"kind\":\"const_ref\"},\"v1\":{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"},\"v2\":{\"id\":\"urn:mcp:entity:Разумное\",\"kind\":\"entity_ref\"}}},{\"attributes\":{},\"conclusion\":{\"constraint\":\"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum\",\"requirementStatus\":\"NEITHER\",\"status\":\"UNDETERMINED\",\"triggerStatus\":\"SATISFIED\"},\"evidence\":[],\"id\":\"urn:proof:constraint:NihilExclusumEstSimulPositum:bbb0da10fbfc58e2c351e60965dd04419d5ee293ae446d4de140938e338789e9\",\"kind\":\"constraint_check\",\"premises\":[\"urn:proof:apply:ContradictioParticularisAffirmativae:29cbd945c2dd4a869ac771843170eda0e320dfe062629f4949155dead676a007\",\"urn:proof:apply:ContrarietasAffirmativae:caeb0c6719a56d4158f58bb99e1701921e9ab5b9f87e0dd7142920b22a66ee39\"],\"sourceAnchors\":[],\"substitution\":{\"v0\":{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#E\",\"kind\":\"const_ref\"},\"v1\":{\"id\":\"urn:mcp:entity:Разумное\",\"kind\":\"entity_ref\"},\"v2\":{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"}}},{\"attributes\":{},\"conclusion\":{\"constraint\":\"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum\",\"requirementStatus\":\"NEITHER\",\"status\":\"UNDETERMINED\",\"triggerStatus\":\"SATISFIED\"},\"evidence\":[],\"id\":\"urn:proof:constraint:NihilExclusumEstSimulPositum:e253896ee745c63cc8eaed00701ba7191001b4122344920267388737ff6e316e\",\"kind\":\"constraint_check\",\"premises\":[\"urn:proof:apply:ContradictioParticularisAffirmativae:42b2b84e6bba40ee0bff252cadc107d815542feb53e60f5151d94d202c8eb009\",\"urn:proof:apply:ContrarietasAffirmativae:46a0019ce7d41782ec43ac098387f9fa45e042b0e8785cff4491568614a06b77\"],\"sourceAnchors\":[],\"substitution\":{\"v0\":{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#E\",\"kind\":\"const_ref\"},\"v1\":{\"id\":\"urn:mcp:entity:Смертное\",\"kind\":\"entity_ref\"},\"v2\":{\"id\":\"urn:mcp:entity:Человек\",\"kind\":\"entity_ref\"}}},{\"attributes\":{},\"conclusion\":{\"constraint\":\"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum\",\"requirementStatus\":\"NEITHER\",\"status\":\"UNDETERMINED\",\"triggerStatus\":\"SATISFIED\"},\"evidence\":[],\"id\":\"urn:proof:constraint:NihilExclusumEstSimulPositum:f33afb8cb17b4528b58c761ec3632d6af9a5a3a9b53f270e1a3881de9e19f7a1\",\"kind\":\"constraint_check\",\"premises\":[\"urn:proof:apply:ContradictioParticularisAffirmativae:c6f7fe641fa92f82529990b1517613b4f9e05fe31704fc70b7c3031f7dfa0081\"],\"sourceAnchors\":[],\"substitution\":{\"v0\":{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#E\",\"kind\":\"const_ref\"},\"v1\":{\"id\":\"urn:mcp:entity:Смертное\",\"kind\":\"entity_ref\"},\"v2\":{\"id\":\"urn:mcp:entity:Разумное\",\"kind\":\"entity_ref\"}}},{\"attributes\":{},\"conclusion\":{\"selected\":[\"urn:grc:aristoteles:clir:analytica-priora#LectioTraditionalis\"]},\"evidence\":[],\"id\":\"urn:proof:interpretation-selection\",\"kind\":\"interpretation_selection\",\"premises\":[],\"sourceAnchors\":[]},{\"attributes\":{},\"conclusion\":{\"literal\":{\"args\":[{\"id\":\"urn:grc:aristoteles:clir:analytica-priora#I\",\"kind\":\"const_ref\"},{\"id\":\"urn:mcp:entity:Смертное\",\"kind\":\"entity_ref\"},{\"id\":\"urn:mcp:entity:Разумное\",\"kind\":\"entity_ref\"}],\"kind\":\"literal\",\"polarity\":\"positive\",\"predicate\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\"},\"truthStatus\":\"TRUE_ONLY\"},\"evidence\":[],\"id\":\"urn:proof:query:mcp\",\"kind\":\"query_evaluation\",\"premises\":[\"urn:proof:apply:ConversioParticularisAffirmativae:e2a9f960d7d096e424eec0ecce8ebbf4024f98aeb2a2daaa745c323b3a33d0b8\",\"urn:proof:apply:Darii:3379d5aae40dc01b6e7d27857c65d95d2ed39dca8dfa3820371e73a0a811f2c0\"],\"sourceAnchors\":[]}],\"proofHash\":\"sha256:4fe6a334bf0858dc688385d07e25a31d9e55b190f8f55439439cacb3a728e2a5\",\"roots\":[\"urn:proof:constraint:NihilExclusumEstSimulPositum:097115b27ce3dd7db3cb83463a3fac89b636ca31f79a7e430662d1c4c53a9a0f\",\"urn:proof:constraint:NihilExclusumEstSimulPositum:0a6c38edccfe05e309ddf015843c8429839583d68b6d8a1c4b36fce54b06bcc9\",\"urn:proof:constraint:NihilExclusumEstSimulPositum:13c94bd7c20136fc234ff615727a354c41ca5bb088bbedfc400e09e0f48da0d5\",\"urn:proof:constraint:NihilExclusumEstSimulPositum:728266cd8c1b951a6a52075b0dd3454b366ebf8335a9e90c5bbb541e3932a2b9\",\"urn:proof:constraint:NihilExclusumEstSimulPositum:7b675424f61680f8d60ea917347b345f353e01efe99a322afbc96d21d6a5e350\",\"urn:proof:constraint:NihilExclusumEstSimulPositum:862409396bad3990c20ed45ab5f5af9ff639218190348fb8c0bc2899dd6b3d4c\",\"urn:proof:constraint:NihilExclusumEstSimulPositum:90d902d4921e8f9422b3040964a5cd4b4b369b9b9927cf3b43a1a32929fc6fae\",\"urn:proof:constraint:NihilExclusumEstSimulPositum:bbb0da10fbfc58e2c351e60965dd04419d5ee293ae446d4de140938e338789e9\",\"urn:proof:constraint:NihilExclusumEstSimulPositum:e253896ee745c63cc8eaed00701ba7191001b4122344920267388737ff6e316e\",\"urn:proof:constraint:NihilExclusumEstSimulPositum:f33afb8cb17b4528b58c761ec3632d6af9a5a3a9b53f270e1a3881de9e19f7a1\",\"urn:proof:query:mcp\"]},\"resultHash\":\"sha256:8596e0199f973b2d5e86c805bc24eb61f18edfebe5d66324cf0c023ff2c711e1\",\"results\":[{\"conflicts\":[],\"evaluationStatus\":\"COMPUTED\",\"evidence\":[],\"id\":\"urn:result:mcp\",\"judgmentRequests\":[],\"manifest\":\"urn:manifest:oracle-1\",\"missingInputs\":[],\"normativeStatusSupports\":[],\"proof\":\"urn:proof:query:mcp\",\"query\":\"urn:query:mcp\",\"resultKind\":\"PROPOSITION\",\"sourceAnchors\":[],\"target\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\",\"truthStatus\":\"TRUE_ONLY\"},{\"applicabilityStatus\":\"APPLICABLE\",\"conflicts\":[],\"evaluationStatus\":\"COMPUTED\",\"evidence\":[],\"id\":\"urn:result:constraint:NihilExclusumEstSimulPositum:f3fae1564c6407cb\",\"judgmentRequests\":[],\"manifest\":\"urn:manifest:oracle-1\",\"missingInputs\":[{\"description\":\"urn:grc:aristoteles:clir:analytica-priora#belongs: опора не установлена (§93.2)\",\"id\":\"urn:result:constraint:NihilExclusumEstSimulPositum:f3fae1564c6407cb:input:0\",\"kind\":\"fact\",\"relatedNode\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\"}],\"normativeStatus\":\"UNDETERMINED\",\"normativeStatusSupports\":[],\"proof\":\"urn:proof:constraint:NihilExclusumEstSimulPositum:7b675424f61680f8d60ea917347b345f353e01efe99a322afbc96d21d6a5e350\",\"query\":\"urn:query:mcp\",\"resultKind\":\"CONSTRAINT\",\"sourceAnchors\":[],\"target\":\"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum\",\"triggerStatus\":\"SATISFIED\",\"truthStatus\":\"NEITHER\"},{\"applicabilityStatus\":\"APPLICABLE\",\"conflicts\":[],\"evaluationStatus\":\"COMPUTED\",\"evidence\":[],\"id\":\"urn:result:constraint:NihilExclusumEstSimulPositum:d360ed3276242a4c\",\"judgmentRequests\":[],\"manifest\":\"urn:manifest:oracle-1\",\"missingInputs\":[{\"description\":\"urn:grc:aristoteles:clir:analytica-priora#belongs: опора не установлена 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established particular affirmative excludes the universal negative over the same pair"},{"language":"grc","status":"official","text":"εἰ γάρ τινι, οἷον τῷ Γ, οὐκ ἀληθὲς ἔσται τὸ μηδενὶ τῷ Β τὸ Α ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"доказанное частноутвердительное исключает общеотрицательное над той же парой (I.2 25a8)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisAffirmativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"an established universal affirmative excludes the particular negative over the same pair"},{"language":"grc","status":"official","text":"ὑπέκειτο παντὶ ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"доказанное общеутвердительное исключает частноотрицательное над той же парой (I.2 25a12, I.5 27a38: на этом стоят доказательства обращения и сведения к нелепому)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ContrarietasAffirmativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"traditional reading: an established universal affirmative excludes the universal negative (contraries; invalid for empty terms)"},{"language":"grc","status":"official","text":"ἐναντία"},{"language":"ru","status":"unofficial","text":"традиционное прочтение: доказанное общеутвердительное исключает общеотрицательное над той же парой (противные суждения; при пустом термине неверно)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ConversioParticularisAffirmativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.2 25a20: the particular affirmative converts simply"},{"language":"grc","status":"official","text":"τῶν δὲ ἐν μέρει τὴν μὲν καταφατικὴν ἀντιστρέφειν ἀνάγκη κατὰ μέρος"},{"language":"ru","status":"unofficial","text":"I.2 25a20: частноутвердительное обращается просто — если некоторое удовольствие благо, то и некоторое благо удовольствие"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Darii","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.4 26a23 (Darii): A of all B, B of some C, therefore A of some C"},{"language":"grc","status":"official","text":"ὑπαρχέτω γὰρ τὸ μὲν Α παντὶ τῷ Β, τὸ δὲ Β τινὶ τῷ Γ"},{"language":"ru","status":"unofficial","text":"I.4 26a23 (Darii): A обо всяком B, B о некотором Γ — значит A о некотором Γ"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Form","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"quantity and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых (ἀδιόριστον)"}],"name":"Form","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#InWholeIsPredicationOfAll","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b26: being wholly in another is the same as being predicated of all of it"},{"language":"grc","status":"official","text":"τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν"},{"language":"ru","status":"unofficial","text":"I.1 24b26: если один термин в целом в другом, то другой сказывается обо всём первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#LectioTraditionalis","kind":"interpretation","labels":[{"language":"en","status":"unofficial","text":"traditional reading: the terms of a syllogism are non-empty (existential import)"},{"language":"grc","status":"official","text":"οἱ ὅροι οὐ κενοί"},{"language":"ru","status":"unofficial","text":"традиционное прочтение: термины силлогизма непусты (экзистенциальная нагрузка)"}],"package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#LectioTraditionalis/ConversioPerAccidens","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.2 25a17: the universal affirmative converts per accidens (valid only for non-empty terms)"},{"language":"grc","status":"official","text":"τὴν δὲ κατηγορικὴν ἀντιστρέφειν μὲν ἀναγκαῖον, οὐ μὴν καθόλου ἀλλ' ἐν μέρει"},{"language":"ru","status":"unofficial","text":"I.2 25a17: общеутвердительное обращается с ограничением — если всякое удовольствие благо, то некоторое благо есть удовольствие (верно лишь при непустом термине)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum","kind":"constraint","labels":[{"language":"en","status":"unofficial","text":"an excluded form cannot at the same time be established over the same pair of terms"},{"language":"grc","status":"official","text":"φάσις δὲ καὶ ἀπόφασις οὐχ ὑπάρχουσιν αἱ ἀντικείμεναι ἅμα τῷ αὐτῷ"},{"language":"ru","status":"unofficial","text":"исключённая форма не может быть одновременно установленной над той же парой терминов"}],"package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#PredicationOfAllIsInWhole","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b28: being predicated of all is the same as the other being wholly in it"},{"language":"grc","status":"official","text":"λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν"},{"language":"ru","status":"unofficial","text":"I.1 24b28: если один термин сказывается обо всём другом, то другой в целом в первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Term","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"term: that into which a premiss is resolved (I.1 24b16)"},{"language":"grc","status":"official","text":"ὅρος"},{"language":"ru","status":"unofficial","text":"термин: то, на что разлагается посылка (I.1 24b16)"}],"name":"Term","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the predicate belongs to the subject in the given form"},{"language":"grc","status":"official","text":"ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"сказуемое сказывается о подлежащем в данной форме"}],"name":"belongs","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the form is excluded for this pair of terms by the opposite judgement already established"},{"language":"grc","status":"official","text":"ἀντικεῖσθαι"},{"language":"ru","status":"unofficial","text":"форма суждения исключена для этой пары терминов противолежащим ей доказанным суждением"}],"name":"excluded","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"one term is wholly contained in another"},{"language":"grc","status":"official","text":"ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ"},{"language":"ru","status":"unofficial","text":"внутренний термин целиком содержится в объемлющем"}],"name":"in_whole","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole/arg/inner","labels":[],"name":"inner","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole/arg/outer","labels":[],"name":"outer","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"}],"tables":[]},"provenance":{"acts":[{"contributed":true,"fragmentCount":7,"fragments":["urn:grc:aristoteles:clir:analytica-priora#APR_I1","urn:grc:aristoteles:clir:analytica-priora#APR_I2","urn:grc:aristoteles:clir:analytica-priora#APR_I4","urn:grc:aristoteles:clir:analytica-priora#APR_I5"],"jurisdiction":"none","namespace":"urn:grc:aristoteles:clir:analytica-priora","package":"grc-prior-analytics","title":"«Первая аналитика» Аристотеля, книга I, главы 1—7: ассерторическая силлогистика — вне юрисдикции государства — доктрина — EXECUTABLE 6 §33.1"}],"caseHash":"sha256:22bf3523603a754c2879e7d7c3cabd6d6cfcc0227cc1b8dadf4c8f1ccfff8c9d","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"вне юрисдикции государства","legalTime":"2026-08-31","mode":"audit","programHash":"sha256:5cc9aab92a96710ee8bbe0c42d337356adcb1e7783e2b7b0916e4e5fe2684a1b","resultHash":"sha256:8596e0199f973b2d5e86c805bc24eb61f18edfebe5d66324cf0c023ff2c711e1","rustCodeHash":"sha256:d368cafc7162ed7a6563df5e5c943a57be26fa8aeb3179b530fe3bdd67fe9be4","timezone":"Asia/Qyzylorda"},"request":{"args":["I","Смертное","Разумное"],"facts":[{"args":["A","Смертное","Человек"],"predicate":"belongs"},{"args":["A","Разумное","Человек"],"predicate":"belongs"}],"kind":"truth","legalTime":"2026-08-31","package":"grc-prior-analytics","predicate":"belongs","proof":true,"selectedInterpretations":["urn:grc:aristoteles:clir:analytica-priora#LectioTraditionalis"]},"sources":[{"contentHash":"sha256:8732b06097cc9f5ba5e9ce6d21088d06dd2bf9e425eed4592d66d41bce3cce71","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I1","kind":"fragment","locator":"article/1","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:53130d12891faa6b07101ad112650f43ad945c55546670200b5d6cca5ce36ae5","language":"grc","status":"official","text":"[24a] Πρῶτον εἰπεῖν περὶ τί καὶ τίνος ἐστὶν ἡ σκέψις, ὅτι περὶ ἀπόδειξιν καὶ ἐπιστήμης ἀποδεικτικῆς· εἶτα διορίσαι τί ἐστι πρότασις καὶ τί ὅρος καὶ τί συλλογισμός, καὶ ποῖος τέλειος καὶ ποῖος ἀτελής, μετὰ δὲ ταῦτα τί τὸ ἐν ὅλῳ εἶναι ἢ μὴ εἶναι τόδε τῷδε, καὶ τί λέγομεν τὸ κατὰ παντὸς ἢ μηδενὸς κατηγορεῖσθαι.\n\nΠρότασις μὲν οὖν ἐστὶ λόγος καταφατικὸς ἢ ἀποφατικός τινος κατά τινος· οὗτος δὲ ἢ καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος. λέγω δὲ καθόλου μὲν τὸ παντὶ ἢ μηδενὶ ὑπάρχειν, ἐν μέρει δὲ τὸ τινὶ ἢ μὴ τινὶ ἢ μὴ παντὶ ὑπάρχειν, ἀδιόριστον δὲ τὸ ὑπάρχειν ἢ μὴ ὑπάρχειν ἄνευ τοῦ καθόλου ἢ κατὰ μέρος, οἷον τὸ τῶν ἐναντίων εἶναι τὴν αὐτὴν ἐπιστήμην ἢ τὸ τὴν ἡδονὴν μὴ εἶναι ἀγαθόν. διαφέρει δὲ ἡ ἀποδεικτικὴ πρότασις τῆς διαλεκτικῆς, ὅτι ἡ μὲν ἀποδεικτικὴ λῆψις θατέρου μορίου τῆς ἀντιφάσεώς ἐστιν (οὐ γὰρ ἐρωτᾷ ἀλλὰ λαμβάνει ὁ ἀποδεικνύων), ἡ δὲ διαλεκτικὴ ἐρώτησις ἀντιφάσεώς ἐστιν. οὐδὲν δὲ διοίσει πρὸς τὸ γενέσθαι τὸν ἑκατέρου συλλογισμόν· καὶ γὰρ ὁ ἀποδεικνύων καὶ ὁ ἐρωτῶν συλλογίζεται λαβών τι κατά τινος ὑπάρχειν ἢ μὴ ὑπάρχειν. ὥστε ἔσται συλλογιστικὴ μὲν πρότασις ἁπλῶς κατάφασις ἢ ἀπόφασίς τινος κατά τινος τὸν εἰρημένον τρόπον, ἀποδεικτικὴ δέ, ἐὰν ἀληθὴς ᾖ καὶ διὰ τῶν ἐξ ἀρχῆς [24b] ὑποθέσεων εἰλημμένη, διαλεκτικὴ δὲ πυνθανομένῳ μὲν ἐρώτησις ἀντιφάσεως, συλλογιζομένῳ δὲ λῆψις τοῦ φαινομένου καὶ ἐνδόξου, καθάπερ ἐν τοῖς Τοπικοῖς εἴρηται. τί μὲν οὖν ἐστὶ πρότασις, καὶ τί διαφέρει συλλογιστικὴ καὶ ἀποδεικτικὴ καὶ διαλεκτική, δι' ἀκριβείας μὲν ἐν τοῖς ἑπομένοις ῥηθήσεται, πρὸς δὲ τὴν παροῦσαν χρείαν ἱκανῶς ἡμῖν διωρίσθω τὰ νῦν.\n\nὍρον δὲ καλῶ εἰς ὃν διαλύεται ἡ πρότασις, οἷον τό τε κατηγορούμενον καὶ τὸ καθ' οὗ κατηγορεῖται, προστιθεμένου [ἢ διαιρουμένου] τοῦ εἶναι ἢ μὴ εἶναι. συλλογισμὸς δέ ἐστι λόγος ἐνᾧ τεθέντων τινῶν ἕτερόν τι τῶν κειμένων ἐξ ἀνάγκης συμβαίνει τῷ ταῦτα εἶναι. λέγω δὲ τῷ ταῦτα εἶναι τὸ διὰ ταῦτα συμβαίνειν, τὸ δὲ διὰ ταῦτα συμβαίνειν τὸ μηδενὸς ἔξωθεν ὅρου προσδεῖν πρὸς τὸ γενέσθαι τὸ ἀναγκαῖον. τέλειον μὲν οὖν καλῶ συλλογισμὸν τὸν μηδενὸς ἄλλου προσδεόμενον παρὰ τὰ εἰλημμένα πρὸς τὸ φανῆναι τὸ ἀναγκαῖον, ἀτελῆ δὲ τὸν προσδεόμενον ἢ ἑνὸς ἢ πλειόνων, ἃ ἔστι μὲν ἀναγκαῖα διὰ τῶν ὑποκειμένων ὅρων, οὐ μὴν εἴληπται διὰ προτάσεων. τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν. λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν [τοῦ ὑποκειμένου] καθ' οὗ θάτερον οὐ λεχθήσεται· καὶ τὸ κατὰ μηδενὸς ὡσαύτως. [25a]"}]},{"contentHash":"sha256:cdb8d6373fd8797e6396011356dd19d286a545811fb98e64eb848189f8da92aa","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I2","kind":"fragment","locator":"article/2","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:2498d199f2870c11a027d3c4085755dd09a100b301445c6937393dbdff477649","language":"grc","status":"official","text":"Ἐπεὶ δὲ πᾶσα πρότασίς ἐστιν ἢ τοῦ ὑπάρχειν ἢ τοῦ ἐξ ἀνάγκης ὑπάρχειν ἢ τοῦ ἐνδέχεσθαι ὑπάρχειν, τούτων δὲ αἱ μὲν καταφατικαὶ αἱ δὲ ἀποφατικαὶ καθ' ἑκάστην πρόσρησιν, πάλιν δὲ τῶν καταφατικῶν καὶ ἀποφατικῶν αἱ μὲν καθόλου αἱ δὲ ἐν μέρει αἱ δὲ ἀδιόριστοι, τὴν μὲν ἐν τῷ ὑπάρχειν καθόλου στερητικὴν ἀνάγκη τοῖς ὅροις ἀντιστρέφειν, οἷον εἰ μηδεμία ἡδονὴ ἀγαθόν, οὐδ' ἀγαθὸν οὐδὲν ἔσται ἡδονή· τὴν δὲ κατηγορικὴν ἀντιστρέφειν μὲν ἀναγκαῖον, οὐ μὴν καθόλου ἀλλ' ἐν μέρει, οἷον εἰ πᾶσα ἡδονὴ ἀγαθόν, καὶ ἀγαθόν τι εἶναι ἡδονήν· τῶν δὲ ἐν μέρει τὴν μὲν καταφατικὴν ἀντιστρέφειν ἀνάγκη κατὰ μέρος (εἰ γὰρ ἡδονή τις ἀγαθόν, καὶ ἀγαθόν τι ἔσται ἡδονή), τὴν δὲ στερητικὴν οὐκ ἀναγκαῖον· (οὐ γὰρ εἰ ἄνθρωπος μὴ ὑπάρχει τινὶ ζῴῳ, καὶ ζῷον οὐχ ὑπάρχει τινὶ ἀνθρώπῳ).\n\nΠρῶτον μὲν οὖν ἔστω στερητικὴ καθόλου ἡ Α Β πρότασις. εἰ οὖν μηδενὶ τῷ Β τὸ Α ὑπάρχει, οὐδὲ τῷ Α οὐδενὶ ὑπάρξει τὸ Β· εἰ γάρ τινι, οἷον τῷ Γ, οὐκ ἀληθὲς ἔσται τὸ μηδενὶ τῷ Β τὸ Α ὑπάρχειν· τὸ γὰρ Γ τῶν Β τί ἐστιν. εἰ δὲ παντὶ τὸ Α τῷ Β, καὶ τὸ Β τινὶ τῷ Α ὑπάρξει· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β ὑπάρξει· ἀλλ' ὑπέκειτο παντὶ ὑπάρχειν. ὁμοίως δὲ καὶ εἰ κατὰ μέρος ἐστὶν ἡ πρότασις. εἰ γὰρ τὸ Α τινὶ τῷ Β, καὶ τὸ Β τινὶ τῷ Α ἀνάγκη ὑπάρχειν· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β. εἰ δέ γε τὸ Α τινὶ τῷ Β μὴ ὑπάρχει, οὐκ ἀνάγκη καὶ τὸ Β τινὶ τῷ Α μὴ ὑπάρχειν, οἷον εἰ τὸ μὲν Β ἐστὶ ζῷον, τὸ δὲ Α ἄνθρωπος· ἄνθρωπος μὲν γὰρ οὐ παντὶ ζῴῳ, ζῷον δὲ παντὶ ἀνθρώπῳ ὑπάρχει."}]},{"contentHash":"sha256:d99f9b6cc6656105148fa151fb6d4cd3db915348a06dad7c8dcbc7548f1c6b74","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I4","kind":"fragment","locator":"article/4","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:c3355707ea934894059c02faf44f176b3d078e8a35ff34e425f09b1b1695f4ee","language":"grc","status":"official","text":"Διωρισμένων δὲ τούτων λέγωμεν ἤδη διὰ τίνων καὶ πότε καὶ πῶς γίνεται πᾶς συλλογισμός· ὕστερον δὲ λεκτέον περὶ ἀποδείξεως. πρότερον δὲ περὶ συλλογισμοῦ λεκτέον ἢ περὶ ἀποδείξεως διὰ τὸ καθόλου μᾶλλον εἶναι τὸν συλλογισμόν· ἡ μὲν γὰρ ἀπόδειξις συλλογισμός τις, ὁ συλλογισμὸς δὲ οὐ πᾶς ἀπόδειξις.\n\nὍταν οὖν ὅροι τρεῖς οὕτως ἔχωσι πρὸς ἀλλήλους ὥστε τὸν ἔσχατον ἐν ὅλῳ εἶναι τῷ μέσῳ καὶ τὸν μέσον ἐν ὅλῳ τῷ πρώτῳ ἢ εἶναι ἢ μὴ εἶναι, ἀνάγκη τῶν ἄκρων εἶναι συλλογισμὸν τέλειον. καλῶ δὲ μέσον μὲν ὃ καὶ αὐτὸ ἐν ἄλλῳ καὶ ἄλλο ἐν τούτῳ ἐστίν, ὃ καὶ τῇ θέσει γίνεται μέσον· ἄκρα δὲ τὸ αὐτό τε ἐν ἄλλῳ ὂν καὶ ἐν ᾧ ἄλλο ἐστίν. εἰ γὰρ τὸ Α κατὰ παντὸς τοῦ Β καὶ τὸ Β κατὰ παντὸς τοῦ Γ, ἀνάγκη τὸ Α κατὰ παντὸς τοῦ Γ κατηγορεῖσθαι· πρότερον γὰρ εἴρηται πῶς τὸ κατὰ παντὸς λέγομεν. ὁμοίως δὲ καὶ εἰ τὸ μὲν Α κατὰ μη[26a] δενὸς τοῦ Β, τὸ δὲ Β κατὰ παντὸς τοῦ Γ, ὅτι τὸ Α οὐδενὶ τῷ Γ ὑπάρξει. εἰ δὲ τὸ μὲν πρῶτον παντὶ τῷ μέσῳ ἀκολουθεῖ, τὸ δὲ μέσον μηδενὶ τῷ ἐσχάτῳ ὑπάρχει, οὐκ ἔσται συλλογισμὸς τῶν ἄκρων· οὐδὲν γὰρ ἀναγκαῖον συμβαίνει τῷ ταῦτα εἶναι· καὶ γὰρ παντὶ καὶ μηδενὶ ἐνδέχεται τὸ πρῶτον τῷ ἐσχάτῳ ὑπάρχειν, ὥστε οὔτε τὸ κατὰ μέρος οὔτε τὸ καθόλου γίνεται ἀναγκαῖον· μηδενὸς δὲ ὄντος ἀναγκαίου διὰ τούτων οὐκ ἔσται συλλογισμός. ὅροι τοῦ παντὶ ὑπάρχειν ζῷον —ἄνθρωπος — ἵππος, τοῦ μηδενὶ ζῷον —ἄνθρωπος —λίθος. οὐδ' ὅταν μήτε τὸ πρῶτον τῷ μέσῳ μήτε τὸ μέσον τῷ ἐσχάτῳ μηδενὶ ὑπάρχῃ, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν ἐπιστήμη —γραμμή —ἰατρική, τοῦ μὴ ὑπάρχειν ἐπιστήμη —γραμμή —μονάς. καθόλου μὲν οὖν ὄντων τῶν ὅρων, δῆλον ἐν τούτῳ τῷ σχήματι πότε ἔσται καὶ πότε οὐκ ἔσται συλλογισμός, καὶ ὅτι ὄντος τε συλλογισμοῦ τοὺς ὅρους ἀναγκαῖον ἔχειν ὡς εἴπομεν, ἄν θ' οὕτως ἔχωσιν, ὅτι ἔσται συλλογισμός.\n\nΕἰ δ' ὁ μὲν καθόλου τῶν ὅρων ὁ δ' ἐν μέρει πρὸς τὸν ἕτερον, ὅταν μὲν τὸ καθόλου τεθῇ πρὸς τὸ μεῖζον ἄκρον ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ ἐν μέρει πρὸς τὸ ἔλαττον κατηγορικόν, ἀνάγκη συλλογισμὸν εἶναι τέλειον, ὅταν δὲ πρὸς τὸ ἔλαττον ἢ καὶ ἄλλως πως ἔχωσιν οἱ ὅροι, ἀδύνατον. λέγω δὲ μεῖζον μὲν ἄκρον ἐν ᾧ τὸ μέσον ἐστίν, ἔλαττον δὲ τὸ ὑπὸ τὸ μέσον ὄν. ὑπαρχέτω γὰρ τὸ μὲν Α παντὶ τῷ Β, τὸ δὲ Β τινὶ τῷ Γ. οὐκοῦν εἰ ἔστι παντὸς κατηγορεῖσθαι τὸ ἐν ἀρχῇ λεχθέν, ἀνάγκη τὸ Α τινὶ τῷ Γ ὑπάρχειν. καὶ εἰ τὸ μὲν Α μηδενὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ, ἀνάγκη τὸ Α τινὶ τῷ Γ μὴ ὑπάρχειν· ὥρισται γὰρ καὶ τὸ κατὰ μηδενὸς πῶς λέγομεν· ὥστε ἔσται συλλογισμὸς τέλειος. ὁμοίως δὲ καὶ εἰ ἀδιόριστον εἴη τὸ Β Γ, κατηγορικὸν ὄν· ὁ γὰρ αὐτὸς ἔσται συλλογισμὸς ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος.\n\nἘὰν δὲ πρὸς τὸ ἔλαττον ἄκρον τὸ καθόλου τεθῇ ἢ κατηγορικὸν ἢ στερητικόν, οὐκ ἔσται συλλογισμός, οὔτε καταφατικοῦ οὔτε ἀποφατικοῦ τοῦ ἀδιορίστου ἢ κατὰ μέρος ὄντος, οἷον εἰ τὸ μὲν Α τινὶ τῷ Β ὑπάρχει ἢ μὴ ὑπάρχει, τὸ δὲ Β παντὶ τῷ Γ ὑπάρχει· ὅροι τοῦ ὑπάρχειν ἀγαθόν —ἕξις —φρόνησις, τοῦ μὴ ὑπάρχειν ἀγαθόν —ἕξις — ἀμαθία. πάλιν εἰ τὸ μὲν Β μηδενὶ τῷ Γ, τὸ δὲ Α τινὶ τῷ Β ἢ ὑπάρχει ἢ μὴ ὑπάρχει ἢ μὴ παντὶ ὑπάρχει, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι λευκόν —ἵππος —κύκνος, λευκόν —ἵππος —κόραξ. οἱ αὐτοὶ δὲ καὶ εἰ τὸ Α Β ἀδιόριστον. Οὐδ' ὅταν τὸ μὲν πρὸς [26b] τῷ μείζονι ἄκρῳ καθόλου γένηται ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ πρὸς τῷ ἐλάττονι στερητικὸν κατὰ μέρος, οὐκ ἔσται συλλογισμός [ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος], οἷον εἰ τὸ μὲν Α παντὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ μή, ἢ εἰ μὴ παντὶ ὑπάρχει· ᾧ γὰρ ἄν τινι μὴ ὑπάρχῃ τὸ μέσον, τούτῳ καὶ παντὶ καὶ οὐδενὶ ἀκολουθήσει τὸ πρῶτον. ὑποκείσθωσαν γὰρ οἱ ὅροι ζῷον —ἄνθρωπος —λευκόν· εἶτα καὶ ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, εἰλήφθω κύκνος καὶ χιών· οὐκοῦν τὸ ζῷον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός, ὥστε οὐκ ἔσται συλλογισμός. πάλιν τὸ μὲν Α μηδενὶ τῷ Β ὑπαρχέτω, τὸ δὲ Β τινὶ τῷ Γ μὴ ὑπαρχέτω· καὶ οἱ ὅροι ἔστωσαν ἄψυχον —ἄνθρωπος —λευκόν· εἶτα εἰλήφθωσαν, ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, κύκνος καὶ χιών· τὸ γὰρ ἄψυχον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός. ἔτι ἐπεὶ ἀδιόριστον τὸ τινὶ τῷ Γ τὸ Β μὴ ὑπάρχειν, ἀληθεύεται δέ, καὶ εἰ μηδενὶ ὑπάρχει καὶ εἰ μὴ παντί, ὅτι τινὶ οὐχ ὑπάρχει, ληφθέντων δὲ τοιούτων ὅρων ὥστε μηδενὶ ὑπάρχειν οὐ γίνεται συλλογισμός (τοῦτο γὰρ εἴρηται πρότερον), φανερὸν οὖν ὅτι τῷ οὕτως ἔχειν τοὺς ὅρους οὐκ ἔσται συλλογισμός· ἦν γὰρ ἂν καὶ ἐπὶ τούτων. ὁμοίως δὲ δειχθήσεται καὶ εἰ τὸ καθόλου τεθείη στερητικόν. Οὐδὲ ἐὰν ἄμφω τὰ διαστήματα κατὰ μέρος ἢ κατηγορικῶς ἢ στερητικῶς, ἢ τὸ μὲν κατηγορικῶς τὸ δὲ στερητικῶς λέγηται, ἢ τὸ μὲν ἀδιόριστον τὸ δὲ διωρισμένον, ἢ ἄμφω ἀδιόριστα, οὐκ ἔσται συλλογισμὸς οὐδαμῶς. ὅροι δὲ κοινοὶ πάντων ζῷον —λευκόν —ἵππος, ζῷον —λευκόν —λίθος.\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὡς ἐὰν ᾖ συλλογισμὸς ἐν τούτῳ τῷ σχήματι κατὰ μέρος, ὅτι ἀνάγκη τοὺς ὅρους οὕτως ἔχειν ὡς εἴπομεν· ἄλλως γὰρ ἐχόντων οὐδαμῶς γίνεται. δῆλον δὲ καὶ ὅτι πάντες οἱ ἐν αὐτῷ συλλογισμοὶ τέλειοί εἰσι· (πάντες γὰρ ἐπιτελοῦνται διὰ τῶν ἐξ ἀρχῆς ληφθέντων), καὶ ὅτι πάντα τὰ προβλήματα δείκνυται διὰ τούτου τοῦ σχήματος· καὶ γὰρ τὸ παντὶ καὶ τὸ μηδενὶ καὶ τὸ τινὶ καὶ τὸ μή τινι ὑπάρχειν. καλῶ δὲ τὸ τοιοῦτον σχῆμα πρῶτον."}]},{"contentHash":"sha256:838a16dd52ed3fd537beb59ea50009594d69ce632d7520ecb7081f0c430791a9","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I5","kind":"fragment","locator":"article/5","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:5e4ff1da45a88c46862da30228b9cf2a9208c50fc2112570a12f87dd7e1144fb","language":"grc","status":"official","text":"Ὅταν δὲ τὸ αὐτὸ τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἢ ἑκατέρῳ παντὶ ἢ μηδενί, τὸ μὲν σχῆμα τὸ τοιοῦτον καλῶ δεύτερον, μέσον δὲ ἐν αὐτῷ λέγω τὸ κατηγορούμενον ἀμφοῖν, ἄκρα δὲ καθ' ὧν λέγεται τοῦτο, μεῖζον δὲ ἄκρον τὸ πρὸς τῷ μέσῳ κείμενον· ἔλαττον δὲ τὸ πορρωτέρω τοῦ μέσου. τίθεται δὲ τὸ μέσον ἔξω μὲν τῶν ἄκρων, πρῶτον δὲ τῇ θέσει. [27a] τέλειος μὲν οὖν οὐκ ἔσται συλλογισμὸς οὐδαμῶς ἐν τούτῳ τῷ σχήματι, δυνατὸς δ' ἔσται καὶ καθόλου καὶ μὴ καθόλου τῶν ὅρων ὄντων. καθόλου μὲν οὖν ὄντων ἔσται συλλογισμὸς ὅταν τὸ μέσον τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἂν πρὸς ὁποτερῳοῦν ᾖ τὸ στερητικόν· ἄλλως δ' οὐδαμῶς. κατηγορείσθω γὰρ τὸ Μ τοῦ μὲν Ν μηδενός, τοῦ δὲ Ξ παντός. ἐπεὶ οὖν ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ παντὶ τῷ Ξ ὑπέκειτο· ὥστε τὸ Ν οὐδενὶ τῷ Ξ· τοῦτο γὰρ δέδεικται πρότερον. πάλιν εἰ τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ μηδενί, οὐδὲ τὸ Ξ τῷ Ν οὐδενὶ ὑπάρξει (εἰ γὰρ τὸ Μ οὐδενὶ τῷ Ξ, οὐδὲ τὸ Ξ οὐδενὶ τῷ Μ· τὸ δέ γε Μ παντὶ τῷ Ν ὑπῆρχεν· τὸ ἄρα Ξ οὐδενὶ τῷ Ν ὑπάρξει· γεγένηται γὰρ πάλιν τὸ πρῶτον σχῆμα)· ἐπεὶ δὲ ἀντιστρέφει τὸ στερητικόν, οὐδὲ τὸ Ν οὐδενὶ τῷ Ξ ὑπάρξει, ὥστ' ἔσται ὁ αὐτὸς συλλογισμός. ἔστι δὲ δεικνύναι ταῦτα καὶ εἰς τὸ ἀδύνατον ἄγοντας. ὅτι μὲν οὖν γίνεται συλλογισμὸς οὕτως ἐχόντων τῶν ὅρων, φανερόν, ἀλλ' οὐ τέλειος· οὐ γὰρ μόνον ἐκ τῶν ἐξ ἀρχῆς ἀλλὰ καὶ ἐξ ἄλλων ἐπιτελεῖται τὸ ἀναγκαῖον. ἐὰν δὲ τὸ Μ παντὸς τοῦ Ν καὶ τοῦ Ξ κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν οὐσία —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν οὐσία —ζῷον —ἀριθμός· μέσον οὐσία. οὐδ' ὅταν μήτε τοῦ Ν μήτε τοῦ Ξ μηδενὸς κατηγορῆται τὸ Μ. ὅροι τοῦ ὑπάρχειν γραμμή —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν γραμμή — ζῷον —λίθος. φανερὸν οὖν ὅτι ἂν ᾖ συλλογισμὸς καθόλου τῶν ὅρων ὄντων, ἀνάγκη τοὺς ὅρους ἔχειν ὡς ἐν ἀρχῇ εἴπομεν· ἄλλως γὰρ ἐχόντων οὐ γίνεται τὸ ἀναγκαῖον.\n\nἘὰν δὲ πρὸς τὸν ἕτερον ᾖ καθόλου τὸ μέσον, ὅταν μὲν πρὸς τὸν μείζω γένηται καθόλου ἢ κατηγορικῶς ἢ στερητικῶς, πρὸς δὲ τὸν ἐλάττω κατὰ μέρος καὶ ἀντικειμένως τῷ καθόλου (λέγω δὲ τὸ ἀντικειμένως, εἰ μὲν τὸ καθόλου στερητικόν, τὸ ἐν μέρει καταφατικόν· εἰ δὲ κατηγορικὸν τὸ καθόλου, τὸ ἐν μέρει στερητικόν), ἀνάγκη γίνεσθαι συλλογισμὸν στερητικὸν κατὰ μέρος. εἰ γὰρ τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν. ἐπεὶ γὰρ ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ ὑπέκειτο τινὶ τῷ Ξ ὑπάρχειν· ὥστε τὸ Ν τινὶ τῷ Ξ οὐχ ὑπάρξει· γίνεται γὰρ συλλογισμὸς διὰ τοῦ πρώτου σχήματος. πάλιν εἰ τῷ μὲν Ν παντὶ τὸ Μ, τῷ δὲ Ξ τινὶ μὴ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν· εἰ γὰρ παντὶ ὑπάρχει, κατηγορεῖται δὲ καὶ τὸ Μ παντὸς τοῦ Ν, ἀνάγκη τὸ Μ [27b] παντὶ τῷ Ξ ὑπάρχειν· ὑπέκειτο δὲ τινὶ μὴ ὑπάρχειν. καὶ εἰ τὸ Μ τῷ μὲν Ν παντὶ ὑπάρχει τῷ δὲ Ξ μὴ παντί, ἔσται συλλογισμὸς ὅτι οὐ παντὶ τῷ Ξ τὸ Ν· ἀπόδειξις δ' ἡ αὐτή. ἐὰν δὲ τοῦ μὲν Ξ παντὸς τοῦ δὲ Ν μὴ παντὸς κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι ζῷον —οὐσία —κόραξ, ζῷον —λευκόν — κόραξ. οὐδ' ὅταν τοῦ μὲν Ξ μηδενός, τοῦ δὲ Ν τινός. ὅροι τοῦ ὑπάρχειν ζῷον —οὐσία —μονάς, τοῦ μὴ ὑπάρχειν ζῷον —οὐσία — ἐπιστήμη.\n\nὍταν μὲν οὖν ἀντικείμενον ᾖ τὸ καθόλου τῷ κατὰ μέρος, εἴρηται πότ' ἔσται καὶ πότ' οὐκ ἔσται συλλογισμός· ὅταν δὲ ὁμοιοσχήμονες ὦσιν αἱ προτάσεις, οἷον ἀμφότεραι στερητικαὶ ἢ καταφατικαί, οὐδαμῶς ἔσται συλλογισμός. ἔστωσαν γὰρ πρῶτον στερητικαί, καὶ τὸ καθόλου κείσθω πρὸς τὸ μεῖζον ἄκρον, οἷον τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ μὴ ὑπαρχέτω· ἐνδέχεται δὴ καὶ παντὶ καὶ μηδενὶ τῷ Ξ τὸ Ν ὑπάρχειν. ὅροι τοῦ μὲν μὴ ὑπάρχειν μέλαν —χιών —ζῷον· τοῦ δὲ παντὶ ὑπάρχειν οὐκ ἔστι λαβεῖν, εἰ τὸ Μ τῷ Ξ τινὶ μὲν ὑπάρχει τινὶ δὲ μή. εἰ γὰρ παντὶ τῷ Ξ τὸ Ν, τὸ δὲ Μ μηδενὶ τῷ Ν, τὸ Μ οὐδενὶ τῷ Ξ ὑπάρξει· ἀλλ' ὑπέκειτο τινὶ ὑπάρχειν. οὕτω μὲν οὖν οὐκ ἐγχωρεῖ λαβεῖν ὅρους, ἐκ δὲ τοῦ ἀδιορίστου δεικτέον· ἐπεὶ γὰρ ἀληθεύεται τὸ τινὶ μὴ ὑπάρχειν τὸ Μ τῷ Ξ καὶ εἰ μηδενὶ ὑπάρχει, μηδενὶ δὲ ὑπάρχοντος οὐκ ἦν συλλογισμός, φανερὸν ὅτι οὐδὲ νῦν ἔσται. πάλιν ἔστωσαν κατηγορικαί, καὶ τὸ καθόλου κείσθω ὁμοίως, οἷον τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ τινὶ ὑπαρχέτω. ἐνδέχεται δὴ τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ μηδενὶ ὑπάρχειν λευκόν — κύκνος —λίθος τοῦ δὲ παντὶ οὐκ ἔσται λαβεῖν διὰ τὴν αὐτὴν αἰτίαν ἥνπερ πρότερον, ἀλλ' ἐκ τοῦ ἀδιορίστου δεικτέον. εἰ δὲ τὸκαθόλου πρὸς τὸ ἔλαττον ἄκρον ἐστί, καὶ τὸ Μ τῷ μὲν Ξ μηδενὶ τῷ δὲ Ν τινὶ μὴ ὑπάρχει, ἐνδέχεται τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ ὑπάρχειν λευκόν —ζῷον — κόραξ, τοῦ μὴ ὑπάρχειν λευκόν —λίθος —κόραξ. εἰ δὲ κατηγορικαὶ αἱ προτάσεις, ὅροι τοῦ μὴ ὑπάρχειν λευκόν —ζῷον —χιών, τοῦ ὑπάρχειν λευκόν —ζῷον —κύκνος. φανερὸν οὖν, ὅταν ὁμοιοσχήμονες ὦσιν αἱ προτάσεις καὶ ἡ μὲν καθόλου ἡ δ' ἐν μέρει, ὅτι οὐδαμῶς γίνεται συλλογισμός. ἀλλ' οὐδ' εἰ τινὶ ἑκατέρῳ ὑπάρχει ἢ μὴ ὑπάρχει, ἢ τῷ μὲν τῷ δὲ μή, ἢ μηδετέρῳ παντί, ἢ ἀδιορίστως. ὅροι δὲ κοινοὶ πάντων λευκόν —ζῷον —ἄνθρωπος, λευκόν —ζῷον —ἄψυχον. [28a]\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὅτι ἐάν τε οὕτως ἔχωσιν οἱ ὅροι πρὸς ἀλλήλους ὡς ἐλέχθη, γίνεται συλλογισμὸς ἐξ ἀνάγκης, ἄν τ' ᾖ συλλογισμός, ἀνάγκη τοὺς ὅρους οὕτως ἔχειν. δῆλον δὲ καὶ ὅτι πάντες ἀτελεῖς εἰσὶν οἱ ἐν τούτῳ τῷ σχήματι συλλογισμοί (πάντες γὰρ ἐπιτελοῦνται προσλαμβανομένων τινῶν, ἃ ἢ ἐνυπάρχει τοῖς ὅροις ἐξ ἀνάγκης ἢ τίθενται ὡς ὑποθέσεις, οἷον ὅταν διὰ τοῦ ἀδυνάτου δεικνύωμεν), καὶ ὅτι οὐ γίνεται καταφατικὸς συλλογισμὸς διὰ τούτου τοῦ σχήματος, ἀλλὰ πάντες στερητικοί, καὶ οἱ καθόλου καὶ οἱ κατὰ μέρος."}]}],"text":"belongs: **TRUE_ONLY** — установлено\nВыведено правом: excluded(O, Смертное, Человек); excluded(E, Смертное, Человек); belongs(I, Человек, Смертное); excluded(E, Человек, Смертное); belongs(I, Смертное, Человек); belongs(I, Смертное, Смертное); excluded(E, Смертное, Смертное); in_whole(Человек, Смертное); belongs(A, Смертное, Человек); excluded(O, Разумное, Человек); excluded(E, Разумное, Человек); belongs(I, Разумное, Смертное); excluded(E, Разумное, Смертное); belongs(I, Смертное, Разумное); belongs(I, Человек, Разумное); excluded(E, Человек, Разумное); belongs(I, Разумное, Человек); belongs(I, Разумное, Разумное); excluded(E, Разумное, Разумное); excluded(E, Смертное, Разумное); in_whole(Человек, Разумное); belongs(A, Разумное, Человек)\nПрименены правила: ContradictioParticularisAffirmativae, ContradictioUniversalisAffirmativae, ContrarietasAffirmativae, ConversioParticularisAffirmativae, Darii, InWholeIsPredicationOfAll, LectioTraditionalis/ConversioPerAccidens, PredicationOfAllIsInWhole\nПраво (вне юрисдикции государства): «Первая аналитика» Аристотеля, книга I, главы 1—7: ассерторическая силлогистика — доктрина — EXECUTABLE 6 §33.1 (programHash sha256:5cc9aab92a96…)\nproof-граф: 44 узлов — поле evaluation готово для law_explain"},{"answer":{"answer":{"evaluationStatus":"COMPUTED","kind":"TRUTH","meaning":"НЕ УСТАНОВЛЕНО: в формализованном праве нет ни подтверждения, ни опровержения (открытый мир §69) — это не «нет»","missingInputs":[],"truthStatus":"NEITHER"},"closedEditionRules":[],"derived":["excluded(A, Человек, Животное)"],"derivedOmitted":0,"evaluation":{"proofGraph":{"nodes":[{"attributes":{"assertion":"urn:mcp:case#fact-1"},"conclusion":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#O","kind":"const_ref"},{"id":"urn:mcp:entity:Человек","kind":"entity_ref"},{"id":"urn:mcp:entity:Животное","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#belongs"},"evidence":[],"id":"urn:proof:assert:urn:mcp:case#fact-1","kind":"assertion","premises":[],"sourceAnchors":[]},{"attributes":{},"conclusion":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#A","kind":"const_ref"},{"id":"urn:mcp:entity:Человек","kind":"entity_ref"},{"id":"urn:mcp:entity:Животное","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#excluded"},"evidence":[],"id":"urn:proof:apply:ContradictioParticularisNegativae:895940af480ad3fddf82941dde91f2051b677598a03818603140ab51745cd637","kind":"rule_application","premises":["urn:proof:assert:urn:mcp:case#fact-1"],"rule":"urn:grc:aristoteles:clir:analytica-priora#ContradictioParticularisNegativae","sourceAnchors":[],"substitution":{"v0":{"id":"urn:mcp:entity:Человек","kind":"entity_ref"},"v1":{"id":"urn:mcp:entity:Животное","kind":"entity_ref"}}},{"attributes":{},"conclusion":{"constraint":"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum","requirementStatus":"NEITHER","status":"UNDETERMINED","triggerStatus":"SATISFIED"},"evidence":[],"id":"urn:proof:constraint:NihilExclusumEstSimulPositum:65f50e2632eb15af3533e7c32497f1fc6d7a86df0205ad66abdb92d683499690","kind":"constraint_check","premises":["urn:proof:apply:ContradictioParticularisNegativae:895940af480ad3fddf82941dde91f2051b677598a03818603140ab51745cd637"],"sourceAnchors":[],"substitution":{"v0":{"id":"urn:grc:aristoteles:clir:analytica-priora#A","kind":"const_ref"},"v1":{"id":"urn:mcp:entity:Человек","kind":"entity_ref"},"v2":{"id":"urn:mcp:entity:Животное","kind":"entity_ref"}}},{"attributes":{},"conclusion":{"literal":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#O","kind":"const_ref"},{"id":"urn:mcp:entity:Животное","kind":"entity_ref"},{"id":"urn:mcp:entity:Человек","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#belongs"},"truthStatus":"NEITHER"},"evidence":[],"id":"urn:proof:query:mcp","kind":"query_evaluation","premises":[],"sourceAnchors":[]}],"proofHash":"sha256:241baa4286273de16d4a9c332895c35d623d263a83ae6c1d6b60cc1844ae7c55","roots":["urn:proof:constraint:NihilExclusumEstSimulPositum:65f50e2632eb15af3533e7c32497f1fc6d7a86df0205ad66abdb92d683499690","urn:proof:query:mcp"]},"resultHash":"sha256:2958a6537039b6f36269c3053eb6f56494d649cba28fb8f405133885fdf21383","schemaVersion":"law.core.evaluation/0.2"},"evaluationStatus":"COMPUTED","issues":[],"judgmentRequests":[],"proofRef":"urn:proof:query:mcp","provenance":{"acts":[{"contributed":true,"fragmentCount":7,"fragments":["urn:grc:aristoteles:clir:analytica-priora#APR_I2","urn:grc:aristoteles:clir:analytica-priora#APR_I5"],"jurisdiction":"none","namespace":"urn:grc:aristoteles:clir:analytica-priora","package":"grc-prior-analytics","title":"«Первая аналитика» Аристотеля, книга I, главы 1—7: ассерторическая силлогистика — вне юрисдикции государства — доктрина — EXECUTABLE 6 §33.1"}],"caseHash":"sha256:cfaf5ad1b7de0c3b20c1d08ca7614550142fa9f7b319eabb05791fc703e82fe5","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"вне юрисдикции 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and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых 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here)","premises":[{"args":["O","Животное","v1"],"predicate":"belongs","predicateId":"urn:grc:aristoteles:clir:analytica-priora#belongs","status":"DEPENDS","text":"belongs(O, Животное, v1)"},{"args":["A","Человек","v1"],"predicate":"belongs","predicateId":"urn:grc:aristoteles:clir:analytica-priora#belongs","status":"DEPENDS","text":"belongs(A, Человек, v1)"}],"rule":"Bocardo","ruleId":"urn:grc:aristoteles:clir:analytica-priora#Bocardo"},{"anchors":["urn:grc:aristoteles:clir:analytica-priora#APR_I4"],"label":"I.4 26a25 (Ferio): A of no B, B of some C, therefore A not of some C","premises":[{"args":["I","v1","Человек"],"predicate":"belongs","predicateId":"urn:grc:aristoteles:clir:analytica-priora#belongs","status":"DEPENDS","text":"belongs(I, v1, Человек)"},{"args":["E","Животное","v1"],"predicate":"belongs","predicateId":"urn:grc:aristoteles:clir:analytica-priora#belongs","status":"DEPENDS","text":"belongs(E, Животное, v1)"}],"rule":"Ferio","ruleId":"urn:grc:aristoteles:clir:analytica-priora#Ferio"}]},"schemaVersion":"law.answers.presentation/0.1","source":{"requestCanonicalSha256":"sha256:44314fb135c0ad233127d7e3a565e47d7296987ba04a72c3796d9d1486ca48a5"},"steps":[{"conclusion":{"literal":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#O","kind":"const_ref"},{"id":"urn:mcp:entity:Животное","kind":"entity_ref"},{"id":"urn:mcp:entity:Человек","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#belongs"},"truthStatus":"NEITHER"},"id":"urn:proof:query:mcp","kind":"query_evaluation","originStatus":"available","premises":[],"trust":"engine"}],"symbols":[{"id":"urn:grc:aristoteles:clir:analytica-priora#Baroco","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.5 27a36 (Baroco): M of all N, M not of some X, therefore N not of some X (proved by reductio, hence postulated here)"},{"language":"grc","status":"official","text":"πάλιν εἰ τῷ μὲν Ν παντὶ τὸ Μ, τῷ δὲ Ξ τινὶ μὴ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"I.5 27a36 (Baroco): M обо всяком N, M не о некотором Ξ — значит N не о некотором Ξ; Аристотель доказывает сведением к нелепому, ядро такого хода не выражает, поэтому модус постулирован"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Bocardo","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.6 28b17 (Bocardo): P not of some S, R of all S, therefore P not of some R (proved by reductio or ecthesis, hence postulated here)"},{"language":"grc","status":"official","text":"εἰ γὰρ τὸ Ρ παντὶ τῷ Σ, τὸ δὲ Π τινὶ μὴ ὑπάρχει, ἀνάγκη τὸ Π τινὶ τῷ Ρ μὴ ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"I.6 28b17 (Bocardo): Π не о некотором Σ, Ρ обо всяком Σ — значит Π не о некотором Ρ; Аристотель доказывает сведением к нелепому либо экфесисом, ядро не выражает ни того, ни другого, поэтому модус постулирован"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ContradictioParticularisNegativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"an established particular negative excludes the universal affirmative over the same pair"},{"language":"grc","status":"official","text":"ὑπέκειτο δὲ τινὶ μὴ ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"доказанное частноотрицательное исключает общеутвердительное над той же парой (I.5 27a38 — посылка, с которой сталкивается допущение в сведении к нелепому)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Ferio","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.4 26a25 (Ferio): A of no B, B of some C, therefore A not of some C"},{"language":"grc","status":"official","text":"καὶ εἰ τὸ μὲν Α μηδενὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ, ἀνάγκη τὸ Α τινὶ τῷ Γ μὴ ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"I.4 26a25 (Ferio): A ни о каком B, B о некотором Γ — значит A не о некотором Γ"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Form","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"quantity and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых (ἀδιόριστον)"}],"name":"Form","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum","kind":"constraint","labels":[{"language":"en","status":"unofficial","text":"an excluded form cannot at the same time be established over the same pair of terms"},{"language":"grc","status":"official","text":"φάσις δὲ καὶ ἀπόφασις οὐχ ὑπάρχουσιν αἱ ἀντικείμεναι ἅμα τῷ αὐτῷ"},{"language":"ru","status":"unofficial","text":"исключённая форма не может быть одновременно установленной над той же парой терминов"}],"package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Term","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"term: that into which a premiss is resolved (I.1 24b16)"},{"language":"grc","status":"official","text":"ὅρος"},{"language":"ru","status":"unofficial","text":"термин: то, на что разлагается посылка (I.1 24b16)"}],"name":"Term","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the predicate belongs to the subject in the given form"},{"language":"grc","status":"official","text":"ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"сказуемое сказывается о подлежащем в данной форме"}],"name":"belongs","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the form is excluded for this pair of terms by the opposite judgement already established"},{"language":"grc","status":"official","text":"ἀντικεῖσθαι"},{"language":"ru","status":"unofficial","text":"форма суждения исключена для этой пары терминов противолежащим ей доказанным суждением"}],"name":"excluded","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"}],"tables":[]},"provenance":{"acts":[{"contributed":true,"fragmentCount":7,"fragments":["urn:grc:aristoteles:clir:analytica-priora#APR_I2","urn:grc:aristoteles:clir:analytica-priora#APR_I5"],"jurisdiction":"none","namespace":"urn:grc:aristoteles:clir:analytica-priora","package":"grc-prior-analytics","title":"«Первая аналитика» Аристотеля, книга I, главы 1—7: ассерторическая силлогистика — вне юрисдикции государства — доктрина — EXECUTABLE 6 §33.1"}],"caseHash":"sha256:cfaf5ad1b7de0c3b20c1d08ca7614550142fa9f7b319eabb05791fc703e82fe5","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"вне юрисдикции государства","legalTime":"2026-08-31","mode":"audit","programHash":"sha256:5cc9aab92a96710ee8bbe0c42d337356adcb1e7783e2b7b0916e4e5fe2684a1b","resultHash":"sha256:2958a6537039b6f36269c3053eb6f56494d649cba28fb8f405133885fdf21383","rustCodeHash":"sha256:d368cafc7162ed7a6563df5e5c943a57be26fa8aeb3179b530fe3bdd67fe9be4","timezone":"Asia/Qyzylorda"},"request":{"args":["O","Животное","Человек"],"facts":[{"args":["O","Человек","Животное"],"predicate":"belongs"}],"kind":"truth","legalTime":"2026-08-31","package":"grc-prior-analytics","predicate":"belongs","proof":true},"sources":[{"contentHash":"sha256:cdb8d6373fd8797e6396011356dd19d286a545811fb98e64eb848189f8da92aa","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I2","kind":"fragment","locator":"article/2","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:2498d199f2870c11a027d3c4085755dd09a100b301445c6937393dbdff477649","language":"grc","status":"official","text":"Ἐπεὶ δὲ πᾶσα πρότασίς ἐστιν ἢ τοῦ ὑπάρχειν ἢ τοῦ ἐξ ἀνάγκης ὑπάρχειν ἢ τοῦ ἐνδέχεσθαι ὑπάρχειν, τούτων δὲ αἱ μὲν καταφατικαὶ αἱ δὲ ἀποφατικαὶ καθ' ἑκάστην πρόσρησιν, πάλιν δὲ τῶν καταφατικῶν καὶ ἀποφατικῶν αἱ μὲν καθόλου αἱ δὲ ἐν μέρει αἱ δὲ ἀδιόριστοι, τὴν μὲν ἐν τῷ ὑπάρχειν καθόλου στερητικὴν ἀνάγκη τοῖς ὅροις ἀντιστρέφειν, οἷον εἰ μηδεμία ἡδονὴ ἀγαθόν, οὐδ' ἀγαθὸν οὐδὲν ἔσται ἡδονή· τὴν δὲ κατηγορικὴν ἀντιστρέφειν μὲν ἀναγκαῖον, οὐ μὴν καθόλου ἀλλ' ἐν μέρει, οἷον εἰ πᾶσα ἡδονὴ ἀγαθόν, καὶ ἀγαθόν τι εἶναι ἡδονήν· τῶν δὲ ἐν μέρει τὴν μὲν καταφατικὴν ἀντιστρέφειν ἀνάγκη κατὰ μέρος (εἰ γὰρ ἡδονή τις ἀγαθόν, καὶ ἀγαθόν τι ἔσται ἡδονή), τὴν δὲ στερητικὴν οὐκ ἀναγκαῖον· (οὐ γὰρ εἰ ἄνθρωπος μὴ ὑπάρχει τινὶ ζῴῳ, καὶ ζῷον οὐχ ὑπάρχει τινὶ ἀνθρώπῳ).\n\nΠρῶτον μὲν οὖν ἔστω στερητικὴ καθόλου ἡ Α Β πρότασις. εἰ οὖν μηδενὶ τῷ Β τὸ Α ὑπάρχει, οὐδὲ τῷ Α οὐδενὶ ὑπάρξει τὸ Β· εἰ γάρ τινι, οἷον τῷ Γ, οὐκ ἀληθὲς ἔσται τὸ μηδενὶ τῷ Β τὸ Α ὑπάρχειν· τὸ γὰρ Γ τῶν Β τί ἐστιν. εἰ δὲ παντὶ τὸ Α τῷ Β, καὶ τὸ Β τινὶ τῷ Α ὑπάρξει· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β ὑπάρξει· ἀλλ' ὑπέκειτο παντὶ ὑπάρχειν. ὁμοίως δὲ καὶ εἰ κατὰ μέρος ἐστὶν ἡ πρότασις. εἰ γὰρ τὸ Α τινὶ τῷ Β, καὶ τὸ Β τινὶ τῷ Α ἀνάγκη ὑπάρχειν· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β. εἰ δέ γε τὸ Α τινὶ τῷ Β μὴ ὑπάρχει, οὐκ ἀνάγκη καὶ τὸ Β τινὶ τῷ Α μὴ ὑπάρχειν, οἷον εἰ τὸ μὲν Β ἐστὶ ζῷον, τὸ δὲ Α ἄνθρωπος· ἄνθρωπος μὲν γὰρ οὐ παντὶ ζῴῳ, ζῷον δὲ παντὶ ἀνθρώπῳ ὑπάρχει."}]},{"contentHash":"sha256:d99f9b6cc6656105148fa151fb6d4cd3db915348a06dad7c8dcbc7548f1c6b74","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I4","kind":"fragment","locator":"article/4","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:c3355707ea934894059c02faf44f176b3d078e8a35ff34e425f09b1b1695f4ee","language":"grc","status":"official","text":"Διωρισμένων δὲ τούτων λέγωμεν ἤδη διὰ τίνων καὶ πότε καὶ πῶς γίνεται πᾶς συλλογισμός· ὕστερον δὲ λεκτέον περὶ ἀποδείξεως. πρότερον δὲ περὶ συλλογισμοῦ λεκτέον ἢ περὶ ἀποδείξεως διὰ τὸ καθόλου μᾶλλον εἶναι τὸν συλλογισμόν· ἡ μὲν γὰρ ἀπόδειξις συλλογισμός τις, ὁ συλλογισμὸς δὲ οὐ πᾶς ἀπόδειξις.\n\nὍταν οὖν ὅροι τρεῖς οὕτως ἔχωσι πρὸς ἀλλήλους ὥστε τὸν ἔσχατον ἐν ὅλῳ εἶναι τῷ μέσῳ καὶ τὸν μέσον ἐν ὅλῳ τῷ πρώτῳ ἢ εἶναι ἢ μὴ εἶναι, ἀνάγκη τῶν ἄκρων εἶναι συλλογισμὸν τέλειον. καλῶ δὲ μέσον μὲν ὃ καὶ αὐτὸ ἐν ἄλλῳ καὶ ἄλλο ἐν τούτῳ ἐστίν, ὃ καὶ τῇ θέσει γίνεται μέσον· ἄκρα δὲ τὸ αὐτό τε ἐν ἄλλῳ ὂν καὶ ἐν ᾧ ἄλλο ἐστίν. εἰ γὰρ τὸ Α κατὰ παντὸς τοῦ Β καὶ τὸ Β κατὰ παντὸς τοῦ Γ, ἀνάγκη τὸ Α κατὰ παντὸς τοῦ Γ κατηγορεῖσθαι· πρότερον γὰρ εἴρηται πῶς τὸ κατὰ παντὸς λέγομεν. ὁμοίως δὲ καὶ εἰ τὸ μὲν Α κατὰ μη[26a] δενὸς τοῦ Β, τὸ δὲ Β κατὰ παντὸς τοῦ Γ, ὅτι τὸ Α οὐδενὶ τῷ Γ ὑπάρξει. εἰ δὲ τὸ μὲν πρῶτον παντὶ τῷ μέσῳ ἀκολουθεῖ, τὸ δὲ μέσον μηδενὶ τῷ ἐσχάτῳ ὑπάρχει, οὐκ ἔσται συλλογισμὸς τῶν ἄκρων· οὐδὲν γὰρ ἀναγκαῖον συμβαίνει τῷ ταῦτα εἶναι· καὶ γὰρ παντὶ καὶ μηδενὶ ἐνδέχεται τὸ πρῶτον τῷ ἐσχάτῳ ὑπάρχειν, ὥστε οὔτε τὸ κατὰ μέρος οὔτε τὸ καθόλου γίνεται ἀναγκαῖον· μηδενὸς δὲ ὄντος ἀναγκαίου διὰ τούτων οὐκ ἔσται συλλογισμός. ὅροι τοῦ παντὶ ὑπάρχειν ζῷον —ἄνθρωπος — ἵππος, τοῦ μηδενὶ ζῷον —ἄνθρωπος —λίθος. οὐδ' ὅταν μήτε τὸ πρῶτον τῷ μέσῳ μήτε τὸ μέσον τῷ ἐσχάτῳ μηδενὶ ὑπάρχῃ, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν ἐπιστήμη —γραμμή —ἰατρική, τοῦ μὴ ὑπάρχειν ἐπιστήμη —γραμμή —μονάς. καθόλου μὲν οὖν ὄντων τῶν ὅρων, δῆλον ἐν τούτῳ τῷ σχήματι πότε ἔσται καὶ πότε οὐκ ἔσται συλλογισμός, καὶ ὅτι ὄντος τε συλλογισμοῦ τοὺς ὅρους ἀναγκαῖον ἔχειν ὡς εἴπομεν, ἄν θ' οὕτως ἔχωσιν, ὅτι ἔσται συλλογισμός.\n\nΕἰ δ' ὁ μὲν καθόλου τῶν ὅρων ὁ δ' ἐν μέρει πρὸς τὸν ἕτερον, ὅταν μὲν τὸ καθόλου τεθῇ πρὸς τὸ μεῖζον ἄκρον ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ ἐν μέρει πρὸς τὸ ἔλαττον κατηγορικόν, ἀνάγκη συλλογισμὸν εἶναι τέλειον, ὅταν δὲ πρὸς τὸ ἔλαττον ἢ καὶ ἄλλως πως ἔχωσιν οἱ ὅροι, ἀδύνατον. λέγω δὲ μεῖζον μὲν ἄκρον ἐν ᾧ τὸ μέσον ἐστίν, ἔλαττον δὲ τὸ ὑπὸ τὸ μέσον ὄν. ὑπαρχέτω γὰρ τὸ μὲν Α παντὶ τῷ Β, τὸ δὲ Β τινὶ τῷ Γ. οὐκοῦν εἰ ἔστι παντὸς κατηγορεῖσθαι τὸ ἐν ἀρχῇ λεχθέν, ἀνάγκη τὸ Α τινὶ τῷ Γ ὑπάρχειν. καὶ εἰ τὸ μὲν Α μηδενὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ, ἀνάγκη τὸ Α τινὶ τῷ Γ μὴ ὑπάρχειν· ὥρισται γὰρ καὶ τὸ κατὰ μηδενὸς πῶς λέγομεν· ὥστε ἔσται συλλογισμὸς τέλειος. ὁμοίως δὲ καὶ εἰ ἀδιόριστον εἴη τὸ Β Γ, κατηγορικὸν ὄν· ὁ γὰρ αὐτὸς ἔσται συλλογισμὸς ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος.\n\nἘὰν δὲ πρὸς τὸ ἔλαττον ἄκρον τὸ καθόλου τεθῇ ἢ κατηγορικὸν ἢ στερητικόν, οὐκ ἔσται συλλογισμός, οὔτε καταφατικοῦ οὔτε ἀποφατικοῦ τοῦ ἀδιορίστου ἢ κατὰ μέρος ὄντος, οἷον εἰ τὸ μὲν Α τινὶ τῷ Β ὑπάρχει ἢ μὴ ὑπάρχει, τὸ δὲ Β παντὶ τῷ Γ ὑπάρχει· ὅροι τοῦ ὑπάρχειν ἀγαθόν —ἕξις —φρόνησις, τοῦ μὴ ὑπάρχειν ἀγαθόν —ἕξις — ἀμαθία. πάλιν εἰ τὸ μὲν Β μηδενὶ τῷ Γ, τὸ δὲ Α τινὶ τῷ Β ἢ ὑπάρχει ἢ μὴ ὑπάρχει ἢ μὴ παντὶ ὑπάρχει, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι λευκόν —ἵππος —κύκνος, λευκόν —ἵππος —κόραξ. οἱ αὐτοὶ δὲ καὶ εἰ τὸ Α Β ἀδιόριστον. Οὐδ' ὅταν τὸ μὲν πρὸς [26b] τῷ μείζονι ἄκρῳ καθόλου γένηται ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ πρὸς τῷ ἐλάττονι στερητικὸν κατὰ μέρος, οὐκ ἔσται συλλογισμός [ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος], οἷον εἰ τὸ μὲν Α παντὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ μή, ἢ εἰ μὴ παντὶ ὑπάρχει· ᾧ γὰρ ἄν τινι μὴ ὑπάρχῃ τὸ μέσον, τούτῳ καὶ παντὶ καὶ οὐδενὶ ἀκολουθήσει τὸ πρῶτον. ὑποκείσθωσαν γὰρ οἱ ὅροι ζῷον —ἄνθρωπος —λευκόν· εἶτα καὶ ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, εἰλήφθω κύκνος καὶ χιών· οὐκοῦν τὸ ζῷον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός, ὥστε οὐκ ἔσται συλλογισμός. πάλιν τὸ μὲν Α μηδενὶ τῷ Β ὑπαρχέτω, τὸ δὲ Β τινὶ τῷ Γ μὴ ὑπαρχέτω· καὶ οἱ ὅροι ἔστωσαν ἄψυχον —ἄνθρωπος —λευκόν· εἶτα εἰλήφθωσαν, ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, κύκνος καὶ χιών· τὸ γὰρ ἄψυχον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός. ἔτι ἐπεὶ ἀδιόριστον τὸ τινὶ τῷ Γ τὸ Β μὴ ὑπάρχειν, ἀληθεύεται δέ, καὶ εἰ μηδενὶ ὑπάρχει καὶ εἰ μὴ παντί, ὅτι τινὶ οὐχ ὑπάρχει, ληφθέντων δὲ τοιούτων ὅρων ὥστε μηδενὶ ὑπάρχειν οὐ γίνεται συλλογισμός (τοῦτο γὰρ εἴρηται πρότερον), φανερὸν οὖν ὅτι τῷ οὕτως ἔχειν τοὺς ὅρους οὐκ ἔσται συλλογισμός· ἦν γὰρ ἂν καὶ ἐπὶ τούτων. ὁμοίως δὲ δειχθήσεται καὶ εἰ τὸ καθόλου τεθείη στερητικόν. Οὐδὲ ἐὰν ἄμφω τὰ διαστήματα κατὰ μέρος ἢ κατηγορικῶς ἢ στερητικῶς, ἢ τὸ μὲν κατηγορικῶς τὸ δὲ στερητικῶς λέγηται, ἢ τὸ μὲν ἀδιόριστον τὸ δὲ διωρισμένον, ἢ ἄμφω ἀδιόριστα, οὐκ ἔσται συλλογισμὸς οὐδαμῶς. ὅροι δὲ κοινοὶ πάντων ζῷον —λευκόν —ἵππος, ζῷον —λευκόν —λίθος.\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὡς ἐὰν ᾖ συλλογισμὸς ἐν τούτῳ τῷ σχήματι κατὰ μέρος, ὅτι ἀνάγκη τοὺς ὅρους οὕτως ἔχειν ὡς εἴπομεν· ἄλλως γὰρ ἐχόντων οὐδαμῶς γίνεται. δῆλον δὲ καὶ ὅτι πάντες οἱ ἐν αὐτῷ συλλογισμοὶ τέλειοί εἰσι· (πάντες γὰρ ἐπιτελοῦνται διὰ τῶν ἐξ ἀρχῆς ληφθέντων), καὶ ὅτι πάντα τὰ προβλήματα δείκνυται διὰ τούτου τοῦ σχήματος· καὶ γὰρ τὸ παντὶ καὶ τὸ μηδενὶ καὶ τὸ τινὶ καὶ τὸ μή τινι ὑπάρχειν. καλῶ δὲ τὸ τοιοῦτον σχῆμα πρῶτον."}]},{"contentHash":"sha256:838a16dd52ed3fd537beb59ea50009594d69ce632d7520ecb7081f0c430791a9","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I5","kind":"fragment","locator":"article/5","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:5e4ff1da45a88c46862da30228b9cf2a9208c50fc2112570a12f87dd7e1144fb","language":"grc","status":"official","text":"Ὅταν δὲ τὸ αὐτὸ τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἢ ἑκατέρῳ παντὶ ἢ μηδενί, τὸ μὲν σχῆμα τὸ τοιοῦτον καλῶ δεύτερον, μέσον δὲ ἐν αὐτῷ λέγω τὸ κατηγορούμενον ἀμφοῖν, ἄκρα δὲ καθ' ὧν λέγεται τοῦτο, μεῖζον δὲ ἄκρον τὸ πρὸς τῷ μέσῳ κείμενον· ἔλαττον δὲ τὸ πορρωτέρω τοῦ μέσου. τίθεται δὲ τὸ μέσον ἔξω μὲν τῶν ἄκρων, πρῶτον δὲ τῇ θέσει. [27a] τέλειος μὲν οὖν οὐκ ἔσται συλλογισμὸς οὐδαμῶς ἐν τούτῳ τῷ σχήματι, δυνατὸς δ' ἔσται καὶ καθόλου καὶ μὴ καθόλου τῶν ὅρων ὄντων. καθόλου μὲν οὖν ὄντων ἔσται συλλογισμὸς ὅταν τὸ μέσον τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἂν πρὸς ὁποτερῳοῦν ᾖ τὸ στερητικόν· ἄλλως δ' οὐδαμῶς. κατηγορείσθω γὰρ τὸ Μ τοῦ μὲν Ν μηδενός, τοῦ δὲ Ξ παντός. ἐπεὶ οὖν ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ παντὶ τῷ Ξ ὑπέκειτο· ὥστε τὸ Ν οὐδενὶ τῷ Ξ· τοῦτο γὰρ δέδεικται πρότερον. πάλιν εἰ τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ μηδενί, οὐδὲ τὸ Ξ τῷ Ν οὐδενὶ ὑπάρξει (εἰ γὰρ τὸ Μ οὐδενὶ τῷ Ξ, οὐδὲ τὸ Ξ οὐδενὶ τῷ Μ· τὸ δέ γε Μ παντὶ τῷ Ν ὑπῆρχεν· τὸ ἄρα Ξ οὐδενὶ τῷ Ν ὑπάρξει· γεγένηται γὰρ πάλιν τὸ πρῶτον σχῆμα)· ἐπεὶ δὲ ἀντιστρέφει τὸ στερητικόν, οὐδὲ τὸ Ν οὐδενὶ τῷ Ξ ὑπάρξει, ὥστ' ἔσται ὁ αὐτὸς συλλογισμός. ἔστι δὲ δεικνύναι ταῦτα καὶ εἰς τὸ ἀδύνατον ἄγοντας. ὅτι μὲν οὖν γίνεται συλλογισμὸς οὕτως ἐχόντων τῶν ὅρων, φανερόν, ἀλλ' οὐ τέλειος· οὐ γὰρ μόνον ἐκ τῶν ἐξ ἀρχῆς ἀλλὰ καὶ ἐξ ἄλλων ἐπιτελεῖται τὸ ἀναγκαῖον. ἐὰν δὲ τὸ Μ παντὸς τοῦ Ν καὶ τοῦ Ξ κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν οὐσία —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν οὐσία —ζῷον —ἀριθμός· μέσον οὐσία. οὐδ' ὅταν μήτε τοῦ Ν μήτε τοῦ Ξ μηδενὸς κατηγορῆται τὸ Μ. ὅροι τοῦ ὑπάρχειν γραμμή —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν γραμμή — ζῷον —λίθος. φανερὸν οὖν ὅτι ἂν ᾖ συλλογισμὸς καθόλου τῶν ὅρων ὄντων, ἀνάγκη τοὺς ὅρους ἔχειν ὡς ἐν ἀρχῇ εἴπομεν· ἄλλως γὰρ ἐχόντων οὐ γίνεται τὸ ἀναγκαῖον.\n\nἘὰν δὲ πρὸς τὸν ἕτερον ᾖ καθόλου τὸ μέσον, ὅταν μὲν πρὸς τὸν μείζω γένηται καθόλου ἢ κατηγορικῶς ἢ στερητικῶς, πρὸς δὲ τὸν ἐλάττω κατὰ μέρος καὶ ἀντικειμένως τῷ καθόλου (λέγω δὲ τὸ ἀντικειμένως, εἰ μὲν τὸ καθόλου στερητικόν, τὸ ἐν μέρει καταφατικόν· εἰ δὲ κατηγορικὸν τὸ καθόλου, τὸ ἐν μέρει στερητικόν), ἀνάγκη γίνεσθαι συλλογισμὸν στερητικὸν κατὰ μέρος. εἰ γὰρ τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν. ἐπεὶ γὰρ ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ ὑπέκειτο τινὶ τῷ Ξ ὑπάρχειν· ὥστε τὸ Ν τινὶ τῷ Ξ οὐχ ὑπάρξει· γίνεται γὰρ συλλογισμὸς διὰ τοῦ πρώτου σχήματος. πάλιν εἰ τῷ μὲν Ν παντὶ τὸ Μ, τῷ δὲ Ξ τινὶ μὴ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν· εἰ γὰρ παντὶ ὑπάρχει, κατηγορεῖται δὲ καὶ τὸ Μ παντὸς τοῦ Ν, ἀνάγκη τὸ Μ [27b] παντὶ τῷ Ξ ὑπάρχειν· ὑπέκειτο δὲ τινὶ μὴ ὑπάρχειν. καὶ εἰ τὸ Μ τῷ μὲν Ν παντὶ ὑπάρχει τῷ δὲ Ξ μὴ παντί, ἔσται συλλογισμὸς ὅτι οὐ παντὶ τῷ Ξ τὸ Ν· ἀπόδειξις δ' ἡ αὐτή. ἐὰν δὲ τοῦ μὲν Ξ παντὸς τοῦ δὲ Ν μὴ παντὸς κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι ζῷον —οὐσία —κόραξ, ζῷον —λευκόν — κόραξ. οὐδ' ὅταν τοῦ μὲν Ξ μηδενός, τοῦ δὲ Ν τινός. ὅροι τοῦ ὑπάρχειν ζῷον —οὐσία —μονάς, τοῦ μὴ ὑπάρχειν ζῷον —οὐσία — ἐπιστήμη.\n\nὍταν μὲν οὖν ἀντικείμενον ᾖ τὸ καθόλου τῷ κατὰ μέρος, εἴρηται πότ' ἔσται καὶ πότ' οὐκ ἔσται συλλογισμός· ὅταν δὲ ὁμοιοσχήμονες ὦσιν αἱ προτάσεις, οἷον ἀμφότεραι στερητικαὶ ἢ καταφατικαί, οὐδαμῶς ἔσται συλλογισμός. ἔστωσαν γὰρ πρῶτον στερητικαί, καὶ τὸ καθόλου κείσθω πρὸς τὸ μεῖζον ἄκρον, οἷον τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ μὴ ὑπαρχέτω· ἐνδέχεται δὴ καὶ παντὶ καὶ μηδενὶ τῷ Ξ τὸ Ν ὑπάρχειν. ὅροι τοῦ μὲν μὴ ὑπάρχειν μέλαν —χιών —ζῷον· τοῦ δὲ παντὶ ὑπάρχειν οὐκ ἔστι λαβεῖν, εἰ τὸ Μ τῷ Ξ τινὶ μὲν ὑπάρχει τινὶ δὲ μή. εἰ γὰρ παντὶ τῷ Ξ τὸ Ν, τὸ δὲ Μ μηδενὶ τῷ Ν, τὸ Μ οὐδενὶ τῷ Ξ ὑπάρξει· ἀλλ' ὑπέκειτο τινὶ ὑπάρχειν. οὕτω μὲν οὖν οὐκ ἐγχωρεῖ λαβεῖν ὅρους, ἐκ δὲ τοῦ ἀδιορίστου δεικτέον· ἐπεὶ γὰρ ἀληθεύεται τὸ τινὶ μὴ ὑπάρχειν τὸ Μ τῷ Ξ καὶ εἰ μηδενὶ ὑπάρχει, μηδενὶ δὲ ὑπάρχοντος οὐκ ἦν συλλογισμός, φανερὸν ὅτι οὐδὲ νῦν ἔσται. πάλιν ἔστωσαν κατηγορικαί, καὶ τὸ καθόλου κείσθω ὁμοίως, οἷον τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ τινὶ ὑπαρχέτω. ἐνδέχεται δὴ τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ μηδενὶ ὑπάρχειν λευκόν — κύκνος —λίθος τοῦ δὲ παντὶ οὐκ ἔσται λαβεῖν διὰ τὴν αὐτὴν αἰτίαν ἥνπερ πρότερον, ἀλλ' ἐκ τοῦ ἀδιορίστου δεικτέον. εἰ δὲ τὸκαθόλου πρὸς τὸ ἔλαττον ἄκρον ἐστί, καὶ τὸ Μ τῷ μὲν Ξ μηδενὶ τῷ δὲ Ν τινὶ μὴ ὑπάρχει, ἐνδέχεται τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ ὑπάρχειν λευκόν —ζῷον — κόραξ, τοῦ μὴ ὑπάρχειν λευκόν —λίθος —κόραξ. εἰ δὲ κατηγορικαὶ αἱ προτάσεις, ὅροι τοῦ μὴ ὑπάρχειν λευκόν —ζῷον —χιών, τοῦ ὑπάρχειν λευκόν —ζῷον —κύκνος. φανερὸν οὖν, ὅταν ὁμοιοσχήμονες ὦσιν αἱ προτάσεις καὶ ἡ μὲν καθόλου ἡ δ' ἐν μέρει, ὅτι οὐδαμῶς γίνεται συλλογισμός. ἀλλ' οὐδ' εἰ τινὶ ἑκατέρῳ ὑπάρχει ἢ μὴ ὑπάρχει, ἢ τῷ μὲν τῷ δὲ μή, ἢ μηδετέρῳ παντί, ἢ ἀδιορίστως. ὅροι δὲ κοινοὶ πάντων λευκόν —ζῷον —ἄνθρωπος, λευκόν —ζῷον —ἄψυχον. [28a]\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὅτι ἐάν τε οὕτως ἔχωσιν οἱ ὅροι πρὸς ἀλλήλους ὡς ἐλέχθη, γίνεται συλλογισμὸς ἐξ ἀνάγκης, ἄν τ' ᾖ συλλογισμός, ἀνάγκη τοὺς ὅρους οὕτως ἔχειν. δῆλον δὲ καὶ ὅτι πάντες ἀτελεῖς εἰσὶν οἱ ἐν τούτῳ τῷ σχήματι συλλογισμοί (πάντες γὰρ ἐπιτελοῦνται προσλαμβανομένων τινῶν, ἃ ἢ ἐνυπάρχει τοῖς ὅροις ἐξ ἀνάγκης ἢ τίθενται ὡς ὑποθέσεις, οἷον ὅταν διὰ τοῦ ἀδυνάτου δεικνύωμεν), καὶ ὅτι οὐ γίνεται καταφατικὸς συλλογισμὸς διὰ τούτου τοῦ σχήματος, ἀλλὰ πάντες στερητικοί, καὶ οἱ καθόλου καὶ οἱ κατὰ μέρος."}]},{"contentHash":"sha256:7f0b6495aab448ab05f7457f072c4f4b8660db671e5055d9bf33dba741312008","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I6","kind":"fragment","locator":"article/6","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:0740d27eb7ab2270f1475d3339da183408e5469219e064055c0add6a648dca58","language":"grc","status":"official","text":"Ἐὰν δὲ τῷ αὐτῷ τὸ μὲν παντὶ τὸ δὲ μηδενὶ ὑπάρχῃ, ἢ ἄμφω παντὶ ἢ μηδενί, τὸ μὲν σχῆμα τὸ τοιοῦτον καλῶ τρίτον, μέσον δ' ἐν αὐτῷ λέγω καθ' οὗ ἄμφω τὰ κατηγορούμενα, ἄκρα δὲ τὰ κατηγορούμενα, μεῖζον δ' ἄκρον τὸ πορρώτερον τοῦ μέσου, ἔλαττον δὲ τὸ ἐγγύτερον. τίθεται δὲ τὸ μέσον ἔξω μὲν τῶν ἄκρων, ἔσχατον δὲ τῇ θέσει. τέλειος μὲν οὖν οὐ γίνεται συλλογισμὸς οὐδ' ἐν τούτῳ τῷ σχήματι, δυνατὸς δ' ἔσται καὶ καθόλου καὶ μὴ καθόλου τῶν ὅρων ὄντων πρὸς τὸ μέσον.\n\nΚαθόλου μὲν οὖν ὄντων, ὅταν καὶ τὸ Π καὶ τὸ Ρ παντὶ τῷ Σ ὑπάρχῃ, ὅτι τινὶ τῷ Ρ τὸ Π ὑπάρξει ἐξ ἀνάγκης· ἐπεὶ γὰρ ἀντιστρέφει τὸ κατηγορικόν, ὑπάρξει τὸ Σ τινὶ τῷ Ρ, ὥστ' ἐπεὶ τῷ μὲν Σ παντὶ τὸ Π, τῷ δὲ Ρ τινὶ τὸ Σ, ἀνάγκη τὸ Π τινὶ τῷ Ρ ὑπάρχειν· γίνεται γὰρ συλλογισμὸς διὰ τοῦ πρώτου σχήματος. ἔστι δὲ καὶ διὰ τοῦ ἀδυνάτου καὶ τῷ ἐκθέσθαι ποιεῖν τὴν ἀπόδειξιν· εἰ γὰρ ἄμφω παντὶ τῷ Σ ὑπάρχει, ἂν ληφθῇ τι τῶν Σ οἷον τὸ Ν, τούτῳ καὶ τὸ Π καὶ τὸ Ρ ὑπάρξει, ὥστε τινὶ τῷ Ρ τὸ Π ὑπάρξει. καὶ ἂν τὸ μὲν Ρ παντὶ τῷ Σ, τὸ δὲ Π μηδενὶ ὑπάρχῃ, ἔσται συλλογισμὸς ὅτι τὸ Π τινὶ τῷ Ρ οὐχ ὑπάρξει ἐξ ἀνάγκης· ὁ γὰρ αὐτὸς τρόπος τῆς ἀποδείξεως ἀντιστραφείσης τῆς Ρ Σ προτάσεως. δειχθείη δ' ἂν καὶ διὰ τοῦ ἀδυνάτου, καθάπερ ἐπὶ τῶν πρότερον. ἐὰν δὲ τὸ μὲν Ρ μηδενὶ τὸ δὲ Π παντὶ ὑπάρχῃ τῷ Σ, οὐκ ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν ζῷον —ἵππος —ἄνθρωπος, τοῦ μὴ ὑπάρχειν ζῷον — ἄψυχον —ἄνθρωπος. οὐδ' ὅταν ἄμφω κατὰ μηδενὸς τοῦ Σ λέγηται, οὐκ ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν ζῷον —ἵππος — ἄψυχον, τοῦ μὴ ὑπάρχειν ἄνθρωπος —ἵππος —ἄψυχον· μέσον ἄψυχον. φανερὸν οὖν καὶ ἐν τούτῳ τῷ σχήματι πότ' ἔσται καὶ πότ' οὐκ ἔσται συλλογισμὸς καθόλου τῶν ὅρων ὄντων. ὅταν μὲν γὰρ ἀμφότεροι οἱ ὅροι ὦσι κατηγορικοί, ἔσται συλλογισμὸς ὅτι τινὶ ὑπάρχει τὸ ἄκρον τῷ ἄκρῳ, ὅταν δὲ στερητικοί, οὐκ [28b] ἔσται. ὅταν δ' ὁ μὲν ᾖ στερητικὸς ὁ δὲ καταφατικός, ἐὰν μὲν ὁ μείζων γένηται στερητικὸς ἅτερος δὲ καταφατικός, ἔσται συλλογισμὸς ὅτι τινὶ οὐχ ὑπάρχει τὸ ἄκρον τῷ ἄκρῳ, ἐὰν δ' ἀνάπαλιν, οὐκ ἔσται.\n\nἘὰν δ' ὁ μὲν ᾖ καθόλου πρὸς τὸ μέσον ὁ δ' ἐν μέρει, κατηγορικῶν μὲν ὄντων ἀμφοῖν ἀνάγκη γίνεσθαι συλλογισμόν, ἂν ὁποτεροσοῦν ᾖ καθόλου τῶν ὅρων. εἰ γὰρ τὸ μὲν Ρ παντὶ τῷ Σ τὸ δὲ Π τινί, ἀνάγκη τὸ Π τινὶ τῷ Ρ ὑπάρχειν. ἐπεὶ γὰρ ἀντιστρέφει τὸ καταφατικόν, ὑπάρξει τὸ Στινὶ τῷ Π, ὥστ' ἐπεὶ τὸ μὲν Ρ παντὶ τῷ Σ, τὸ δὲ Σ τινὶ τῷ Π, καὶ τὸ Ρ τινὶ τῷ Π ὑπάρξει· ὥστε τὸ Π τινὶ τῷ Ρ. πάλιν εἰ τὸ μὲν Ρ τινὶ τῷ Σ τὸ δὲ Π παντὶ ὑπάρχει, ἀνάγκη τὸ Π τινὶ τῷ Ρ ὑπάρχειν· ὁ γὰρ αὐτὸς τρόπος τῆς ἀποδείξεως. ἔστι δ' ἀποδεῖξαι καὶ διὰ τοῦ ἀδυνάτου καὶ τῇ ἐκθέσει, καθάπερ ἐπὶ τῶν πρότερον.\n\nἘὰν δ' ὁ μὲν ᾖ κατηγορικὸς ὁ δὲ στερητικός, καθόλου δὲ ὁ κατηγορικός, ὅταν μὲν ὁ ἐλάττων ᾖ κατηγορικός, ἔσται συλλογισμός. εἰ γὰρ τὸ Ρ παντὶ τῷ Σ, τὸ δὲ Π τινὶ μὴ ὑπάρχει, ἀνάγκη τὸ Π τινὶ τῷ Ρ μὴ ὑπάρχειν. εἰ γὰρ παντί, καὶ τὸ Ρ παντὶ τῷ Σ, καὶ τὸ Π παντὶ τῷ Σ ὑπάρξει· ἀλλ' οὐχ ὑπῆρχεν. δείκνυται δὲ καὶ ἄνευ τῆς ἀπαγωγῆς, ἐὰν ληφθῇ τι τῶν Σ ᾧ τὸ Π μὴ ὑπάρχει. ὅταν δ' ὁ μείζων ᾖ κατηγορικός, οὐκ ἔσται συλλογισμός, οἷον εἰ τὸ μὲν Π παντὶ τῷ Σ, τὸ δὲ Ρ τινὶ τῷ Σ μὴ ὑπάρχει. ὅροι τοῦ παντὶ ὑπάρχειν ἔμψυχον —ἄνθρωπος —ζῷον. τοῦ δὲ μηδενὶ οὐκ ἔστι λαβεῖν ὅρους, εἰ τινὶ μὲν ὑπάρχει τῷ Σ τὸ Ρ, τινὶ δὲ μή· εἰ γὰρ παντὶ τὸ Π τῷ Σ ὑπάρχει, τὸ δὲ Ρ τινὶ τῷ Σ, καὶ τὸ Π τινὶ τῷ Ρ ὑπάρξει· ὑπέκειτο δὲ μηδενὶ ὑπάρχειν. ἀλλ' ὥσπερ ἐν τοῖς πρότερον ληπτέον· ἀδιορίστου γὰρ ὄντος τοῦ τινὶ μὴ ὑπάρχειν καὶ τὸ μηδενὶ ὑπάρχον ἀληθὲς εἰπεῖν τινὶ μὴ ὑπάρχειν· μηδενὶ δὲ ὑπάρχοντος οὐκ ἦν συλλογισμός. φανερὸν οὖν ὅτι οὐκ ἔσται συλλογισμός. ἐὰν δ' ὁ στερητικὸς ᾖ καθόλου τῶν ὅρων, ὅταν μὲν ὁ μείζων ᾖ στερητικὸς ὁ δὲ ἐλάττων κατηγορικός, ἔσται συλλογισμός. εἰ γὰρ τὸ Π μηδενὶ τῷ Σ, τὸ δὲ Ρ τινὶ ὑπάρχει τῷ Σ, τὸ Π τινὶ τῷ Ρ οὐχ ὑπάρξει· πάλιν γὰρ ἔσται τὸ πρῶτον σχῆμα τῆς Ρ Σ προτάσεως ἀντιστραφείσης. ὅταν δὲ ὁ ἐλάττων ᾖ στερητικός, οὐκ ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν ζῷον —ἄνθρωπος —ἄγριον, τοῦ μὴ ὑπάρχειν ζῷον — ἐπιστήμη —ἄγριον· μέσον ἐν ἀμφοῖν τὸ ἄγριον. οὐδ' ὅταν ἀμφότεροι στερητικοὶ τεθῶσιν, ᾖ δ' ὁ μὲν καθόλου ὁ δ' ἐν μέρει. ὅροι [29a] ὅταν ὁ ἐλάττων ᾖ καθόλου πρὸς τὸ μέσον, ζῷον —ἐπιστήμη — ἄγριον, ζῷον —ἄνθρωπος —ἄγριον· ὅταν δ' ὁ μείζων, τοῦ μὲν μὴ ὑπάρχειν κόραξ —χιών —λευκόν. τοῦ δ' ὑπάρχειν οὐκ ἔστι λαβεῖν, εἰ τὸ Ρ τινὶ μὲν ὑπάρχει τῷ Σ, τινὶ δὲ μὴ ὑπάρχει. εἰ γὰρ τὸ Π παντὶ τῷ Ρ, τὸ δὲ Ρ τινὶ τῷ Σ, καὶ τὸ Π τινὶ τῷ Σ· ὑπέκειτο δὲ μηδενί. ἀλλ' ἐκ τοῦ ἀδιορίστου δεικτέον.\n\nΟὐδ' ἂν ἑκάτερος τινὶ τῷ μέσῳ ὑπάρχῃ ἢ μὴ ὑπάρχῃ, ἢ ὁ μὲν ὑπάρχῃ ὁ δὲ μὴ ὑπάρχῃ, ἢ ὁ μὲν τινὶ ὁ δὲ μὴ παντί, ἢ ἀδιορίστως, οὐκ ἔσται συλλογισμὸς οὐδαμῶς. ὅροι δὲ κοινοὶ πάντων ζῷον — ἄνθρωπος —λευκόν, ζῷον —ἄψυχον —λευκόν.\n\nΦανερὸν οὖν καὶ ἐν τούτῳ τῷ σχήματι πότ' ἔσται καὶ πότ' οὐκ ἔσται συλλογισμός, καὶ ὅτι ἐχόντων τε τῶν ὅρων ὡς ἐλέχθη γίνεται συλλογισμὸς ἐξ ἀνάγκης, ἄν τ' ᾖ συλλογισμός, ἀνάγκη τοὺς ὅρους οὕτως ἔχειν. φανερὸν δὲ καὶ ὅτι πάντες ἀτελεῖς εἰσὶν οἱ ἐν τούτῳ τῷ σχήματι συλλογισμοί (πάντες γὰρ τελειοῦνται προσλαμβανομένων τινῶν) καὶ ὅτι συλλογίσασθαι τὸ καθόλου διὰ τούτου τοῦ σχήματος οὐκ ἔσται, οὔτε στερητικὸν οὔτε καταφατικόν."}]}],"text":"belongs: **NEITHER** — НЕ УСТАНОВЛЕНО: в формализованном праве нет ни подтверждения, ни опровержения (открытый мир §69) — это не «нет»\nВыведено правом: excluded(A, Человек, Животное)\nПрименены правила: ContradictioParticularisNegativae\nПравило «I.5 27a36 (Baroco): M of all N, M not of some X, therefore N not of some X (proved by reductio, hence postulated here)» вывело бы это при посылках:\n    · belongs(O, v1, Человек) — DEPENDS\n    · belongs(A, v1, Животное) — DEPENDS\nПравило «I.6 28b17 (Bocardo): P not of some S, R of all S, therefore P not of some R (proved by reductio or ecthesis, hence postulated here)» вывело бы это при посылках:\n    · belongs(O, Животное, v1) — DEPENDS\n    · belongs(A, Человек, v1) — DEPENDS\nПравило «I.4 26a25 (Ferio): A of no B, B of some C, therefore A not of some C» вывело бы это при посылках:\n    · belongs(I, v1, Человек) — DEPENDS\n    · belongs(E, Животное, v1) — DEPENDS\n(? — факт не подан и не выведен; ✗ — установлено обратное)\nПолные правила с посылками: law_rules({\"predicate\": \"belongs\"})\nПраво (вне юрисдикции государства): «Первая аналитика» Аристотеля, книга I, главы 1—7: ассерторическая силлогистика — доктрина — EXECUTABLE 6 §33.1 (programHash sha256:5cc9aab92a96…)\nproof-граф: 4 узлов — поле evaluation готово для law_explain"},{"answer":{"answer":{"evaluationStatus":"COMPUTED","kind":"TRUTH","meaning":"НЕ УСТАНОВЛЕНО: в формализованном праве нет ни подтверждения, ни опровержения (открытый мир §69) — это не «нет»","missingInputs":[],"truthStatus":"NEITHER"},"closedEditionRules":[],"derived":["excluded(O, Сущность, Животное)","in_whole(Животное, Сущность)","belongs(A, Сущность, Животное)","excluded(O, Сущность, Человек)","in_whole(Человек, Сущность)","belongs(A, Сущность, Человек)"],"derivedOmitted":0,"evaluation":{"proofGraph":{"nodes":[{"attributes":{"assertion":"urn:mcp:case#fact-1"},"conclusion":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#A","kind":"const_ref"},{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"},{"id":"urn:mcp:entity:Животное","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#belongs"},"evidence":[],"id":"urn:proof:assert:urn:mcp:case#fact-1","kind":"assertion","premises":[],"sourceAnchors":[]},{"attributes":{},"conclusion":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#O","kind":"const_ref"},{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"},{"id":"urn:mcp:entity:Животное","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#excluded"},"evidence":[],"id":"urn:proof:apply:ContradictioUniversalisAffirmativae:6df1076792cdffd936784604737a289c72d88af03870c480cffd895ff52ce56e","kind":"rule_application","premises":["urn:proof:assert:urn:mcp:case#fact-1"],"rule":"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisAffirmativae","sourceAnchors":[],"substitution":{"v0":{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"},"v1":{"id":"urn:mcp:entity:Животное","kind":"entity_ref"}}},{"attributes":{},"conclusion":{"args":[{"id":"urn:mcp:entity:Животное","kind":"entity_ref"},{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#in_whole"},"evidence":[],"id":"urn:proof:apply:PredicationOfAllIsInWhole:6cba1e1cd8a350844647c5301e62bddb013712d46733eff2eba8615a99120462","kind":"rule_application","premises":["urn:proof:assert:urn:mcp:case#fact-1"],"rule":"urn:grc:aristoteles:clir:analytica-priora#PredicationOfAllIsInWhole","sourceAnchors":[],"substitution":{"v0":{"id":"urn:mcp:entity:Животное","kind":"entity_ref"},"v1":{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"}}},{"attributes":{},"conclusion":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#A","kind":"const_ref"},{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"},{"id":"urn:mcp:entity:Животное","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#belongs"},"evidence":[],"id":"urn:proof:apply:InWholeIsPredicationOfAll:87ceb4c363127ea0b6c54143a45f3946dc4c1e48559a20b23686299f8da03447","kind":"rule_application","premises":["urn:proof:apply:PredicationOfAllIsInWhole:6cba1e1cd8a350844647c5301e62bddb013712d46733eff2eba8615a99120462"],"rule":"urn:grc:aristoteles:clir:analytica-priora#InWholeIsPredicationOfAll","sourceAnchors":[],"substitution":{"v0":{"id":"urn:mcp:entity:Животное","kind":"entity_ref"},"v1":{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"}}},{"attributes":{"assertion":"urn:mcp:case#fact-2"},"conclusion":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#A","kind":"const_ref"},{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"},{"id":"urn:mcp:entity:Человек","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#belongs"},"evidence":[],"id":"urn:proof:assert:urn:mcp:case#fact-2","kind":"assertion","premises":[],"sourceAnchors":[]},{"attributes":{},"conclusion":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#O","kind":"const_ref"},{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"},{"id":"urn:mcp:entity:Человек","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#excluded"},"evidence":[],"id":"urn:proof:apply:ContradictioUniversalisAffirmativae:4996fc43b45c24811e812e50bb6d181c715195ce03187f561331d1ddcab84c0b","kind":"rule_application","premises":["urn:proof:assert:urn:mcp:case#fact-2"],"rule":"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisAffirmativae","sourceAnchors":[],"substitution":{"v0":{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"},"v1":{"id":"urn:mcp:entity:Человек","kind":"entity_ref"}}},{"attributes":{},"conclusion":{"args":[{"id":"urn:mcp:entity:Человек","kind":"entity_ref"},{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#in_whole"},"evidence":[],"id":"urn:proof:apply:PredicationOfAllIsInWhole:0c5a763a37f873c1cbec8992072b5a6ffb3caf0199725c0857c1cccb2ca62385","kind":"rule_application","premises":["urn:proof:assert:urn:mcp:case#fact-2"],"rule":"urn:grc:aristoteles:clir:analytica-priora#PredicationOfAllIsInWhole","sourceAnchors":[],"substitution":{"v0":{"id":"urn:mcp:entity:Человек","kind":"entity_ref"},"v1":{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"}}},{"attributes":{},"conclusion":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#A","kind":"const_ref"},{"id":"urn:mcp:entity:Сущность","kind":"entity_ref"},{"id":"urn:mcp:entity:Человек","kind":"entity_ref"}],"kind":"literal","polarity":"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and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых 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Животное)"}],"rule":"InWholeIsPredicationOfAll","ruleId":"urn:grc:aristoteles:clir:analytica-priora#InWholeIsPredicationOfAll"}]},"schemaVersion":"law.answers.presentation/0.1","source":{"requestCanonicalSha256":"sha256:5815ce2706945f37ee7c0f060baee5f511f6433351f0482db7823e46bfb070ec"},"steps":[{"conclusion":{"literal":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#A","kind":"const_ref"},{"id":"urn:mcp:entity:Животное","kind":"entity_ref"},{"id":"urn:mcp:entity:Человек","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#belongs"},"truthStatus":"NEITHER"},"id":"urn:proof:query:mcp","kind":"query_evaluation","originStatus":"available","premises":[],"trust":"engine"}],"symbols":[{"id":"urn:grc:aristoteles:clir:analytica-priora#Barbara","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.4 25b37 (Barbara): A of all B, B of all C, therefore A of all C"},{"language":"grc","status":"official","text":"εἰ γὰρ τὸ Α κατὰ παντὸς τοῦ Β καὶ τὸ Β κατὰ παντὸς τοῦ Γ, ἀνάγκη τὸ Α κατὰ παντὸς τοῦ Γ κατηγορεῖσθαι"},{"language":"ru","status":"unofficial","text":"I.4 25b37 (Barbara): A обо всяком B, B обо всяком Γ — значит A обо всяком Γ"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisAffirmativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"an established universal affirmative excludes the particular negative over the same pair"},{"language":"grc","status":"official","text":"ὑπέκειτο παντὶ ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"доказанное общеутвердительное исключает частноотрицательное над той же парой (I.2 25a12, I.5 27a38: на этом стоят доказательства обращения и сведения к нелепому)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Form","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"quantity and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых (ἀδιόριστον)"}],"name":"Form","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#InWholeIsPredicationOfAll","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b26: being wholly in another is the same as being predicated of all of it"},{"language":"grc","status":"official","text":"τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν"},{"language":"ru","status":"unofficial","text":"I.1 24b26: если один термин в целом в другом, то другой сказывается обо всём первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum","kind":"constraint","labels":[{"language":"en","status":"unofficial","text":"an excluded form cannot at the same time be established over the same pair of terms"},{"language":"grc","status":"official","text":"φάσις δὲ καὶ ἀπόφασις οὐχ ὑπάρχουσιν αἱ ἀντικείμεναι ἅμα τῷ αὐτῷ"},{"language":"ru","status":"unofficial","text":"исключённая форма не может быть одновременно установленной над той же парой терминов"}],"package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#PredicationOfAllIsInWhole","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b28: being predicated of all is the same as the other being wholly in it"},{"language":"grc","status":"official","text":"λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν"},{"language":"ru","status":"unofficial","text":"I.1 24b28: если один термин сказывается обо всём другом, то другой в целом в первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Term","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"term: that into which a premiss is resolved (I.1 24b16)"},{"language":"grc","status":"official","text":"ὅρος"},{"language":"ru","status":"unofficial","text":"термин: то, на что разлагается посылка (I.1 24b16)"}],"name":"Term","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the predicate belongs to the subject in the given form"},{"language":"grc","status":"official","text":"ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"сказуемое сказывается о подлежащем в данной форме"}],"name":"belongs","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the form is excluded for this pair of terms by the opposite judgement already established"},{"language":"grc","status":"official","text":"ἀντικεῖσθαι"},{"language":"ru","status":"unofficial","text":"форма суждения исключена для этой пары терминов противолежащим ей доказанным суждением"}],"name":"excluded","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"one term is wholly contained in another"},{"language":"grc","status":"official","text":"ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ"},{"language":"ru","status":"unofficial","text":"внутренний термин целиком содержится в объемлющем"}],"name":"in_whole","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole/arg/inner","labels":[],"name":"inner","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole/arg/outer","labels":[],"name":"outer","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"}],"tables":[]},"provenance":{"acts":[{"contributed":true,"fragmentCount":7,"fragments":["urn:grc:aristoteles:clir:analytica-priora#APR_I1","urn:grc:aristoteles:clir:analytica-priora#APR_I2","urn:grc:aristoteles:clir:analytica-priora#APR_I5"],"jurisdiction":"none","namespace":"urn:grc:aristoteles:clir:analytica-priora","package":"grc-prior-analytics","title":"«Первая аналитика» Аристотеля, книга I, главы 1—7: ассерторическая силлогистика — вне юрисдикции государства — доктрина — EXECUTABLE 6 §33.1"}],"caseHash":"sha256:2b621345719acd9e260a23c674f4cf26d9b8d488136cc9fd2c27306747a18720","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"вне юрисдикции государства","legalTime":"2026-08-31","mode":"audit","programHash":"sha256:5cc9aab92a96710ee8bbe0c42d337356adcb1e7783e2b7b0916e4e5fe2684a1b","resultHash":"sha256:a41604de8194a9fb16443351a38ad3b6e0c9db739e493e81f45699f32e9241aa","rustCodeHash":"sha256:d368cafc7162ed7a6563df5e5c943a57be26fa8aeb3179b530fe3bdd67fe9be4","timezone":"Asia/Qyzylorda"},"request":{"args":["A","Животное","Человек"],"facts":[{"args":["A","Сущность","Животное"],"predicate":"belongs"},{"args":["A","Сущность","Человек"],"predicate":"belongs"}],"kind":"truth","legalTime":"2026-08-31","package":"grc-prior-analytics","predicate":"belongs","proof":true},"sources":[{"contentHash":"sha256:8732b06097cc9f5ba5e9ce6d21088d06dd2bf9e425eed4592d66d41bce3cce71","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I1","kind":"fragment","locator":"article/1","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:53130d12891faa6b07101ad112650f43ad945c55546670200b5d6cca5ce36ae5","language":"grc","status":"official","text":"[24a] Πρῶτον εἰπεῖν περὶ τί καὶ τίνος ἐστὶν ἡ σκέψις, ὅτι περὶ ἀπόδειξιν καὶ ἐπιστήμης ἀποδεικτικῆς· εἶτα διορίσαι τί ἐστι πρότασις καὶ τί ὅρος καὶ τί συλλογισμός, καὶ ποῖος τέλειος καὶ ποῖος ἀτελής, μετὰ δὲ ταῦτα τί τὸ ἐν ὅλῳ εἶναι ἢ μὴ εἶναι τόδε τῷδε, καὶ τί λέγομεν τὸ κατὰ παντὸς ἢ μηδενὸς κατηγορεῖσθαι.\n\nΠρότασις μὲν οὖν ἐστὶ λόγος καταφατικὸς ἢ ἀποφατικός τινος κατά τινος· οὗτος δὲ ἢ καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος. λέγω δὲ καθόλου μὲν τὸ παντὶ ἢ μηδενὶ ὑπάρχειν, ἐν μέρει δὲ τὸ τινὶ ἢ μὴ τινὶ ἢ μὴ παντὶ ὑπάρχειν, ἀδιόριστον δὲ τὸ ὑπάρχειν ἢ μὴ ὑπάρχειν ἄνευ τοῦ καθόλου ἢ κατὰ μέρος, οἷον τὸ τῶν ἐναντίων εἶναι τὴν αὐτὴν ἐπιστήμην ἢ τὸ τὴν ἡδονὴν μὴ εἶναι ἀγαθόν. διαφέρει δὲ ἡ ἀποδεικτικὴ πρότασις τῆς διαλεκτικῆς, ὅτι ἡ μὲν ἀποδεικτικὴ λῆψις θατέρου μορίου τῆς ἀντιφάσεώς ἐστιν (οὐ γὰρ ἐρωτᾷ ἀλλὰ λαμβάνει ὁ ἀποδεικνύων), ἡ δὲ διαλεκτικὴ ἐρώτησις ἀντιφάσεώς ἐστιν. οὐδὲν δὲ διοίσει πρὸς τὸ γενέσθαι τὸν ἑκατέρου συλλογισμόν· καὶ γὰρ ὁ ἀποδεικνύων καὶ ὁ ἐρωτῶν συλλογίζεται λαβών τι κατά τινος ὑπάρχειν ἢ μὴ ὑπάρχειν. ὥστε ἔσται συλλογιστικὴ μὲν πρότασις ἁπλῶς κατάφασις ἢ ἀπόφασίς τινος κατά τινος τὸν εἰρημένον τρόπον, ἀποδεικτικὴ δέ, ἐὰν ἀληθὴς ᾖ καὶ διὰ τῶν ἐξ ἀρχῆς [24b] ὑποθέσεων εἰλημμένη, διαλεκτικὴ δὲ πυνθανομένῳ μὲν ἐρώτησις ἀντιφάσεως, συλλογιζομένῳ δὲ λῆψις τοῦ φαινομένου καὶ ἐνδόξου, καθάπερ ἐν τοῖς Τοπικοῖς εἴρηται. τί μὲν οὖν ἐστὶ πρότασις, καὶ τί διαφέρει συλλογιστικὴ καὶ ἀποδεικτικὴ καὶ διαλεκτική, δι' ἀκριβείας μὲν ἐν τοῖς ἑπομένοις ῥηθήσεται, πρὸς δὲ τὴν παροῦσαν χρείαν ἱκανῶς ἡμῖν διωρίσθω τὰ νῦν.\n\nὍρον δὲ καλῶ εἰς ὃν διαλύεται ἡ πρότασις, οἷον τό τε κατηγορούμενον καὶ τὸ καθ' οὗ κατηγορεῖται, προστιθεμένου [ἢ διαιρουμένου] τοῦ εἶναι ἢ μὴ εἶναι. συλλογισμὸς δέ ἐστι λόγος ἐνᾧ τεθέντων τινῶν ἕτερόν τι τῶν κειμένων ἐξ ἀνάγκης συμβαίνει τῷ ταῦτα εἶναι. λέγω δὲ τῷ ταῦτα εἶναι τὸ διὰ ταῦτα συμβαίνειν, τὸ δὲ διὰ ταῦτα συμβαίνειν τὸ μηδενὸς ἔξωθεν ὅρου προσδεῖν πρὸς τὸ γενέσθαι τὸ ἀναγκαῖον. τέλειον μὲν οὖν καλῶ συλλογισμὸν τὸν μηδενὸς ἄλλου προσδεόμενον παρὰ τὰ εἰλημμένα πρὸς τὸ φανῆναι τὸ ἀναγκαῖον, ἀτελῆ δὲ τὸν προσδεόμενον ἢ ἑνὸς ἢ πλειόνων, ἃ ἔστι μὲν ἀναγκαῖα διὰ τῶν ὑποκειμένων ὅρων, οὐ μὴν εἴληπται διὰ προτάσεων. τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν. λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν [τοῦ ὑποκειμένου] καθ' οὗ θάτερον οὐ λεχθήσεται· καὶ τὸ κατὰ μηδενὸς ὡσαύτως. [25a]"}]},{"contentHash":"sha256:cdb8d6373fd8797e6396011356dd19d286a545811fb98e64eb848189f8da92aa","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I2","kind":"fragment","locator":"article/2","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:2498d199f2870c11a027d3c4085755dd09a100b301445c6937393dbdff477649","language":"grc","status":"official","text":"Ἐπεὶ δὲ πᾶσα πρότασίς ἐστιν ἢ τοῦ ὑπάρχειν ἢ τοῦ ἐξ ἀνάγκης ὑπάρχειν ἢ τοῦ ἐνδέχεσθαι ὑπάρχειν, τούτων δὲ αἱ μὲν καταφατικαὶ αἱ δὲ ἀποφατικαὶ καθ' ἑκάστην πρόσρησιν, πάλιν δὲ τῶν καταφατικῶν καὶ ἀποφατικῶν αἱ μὲν καθόλου αἱ δὲ ἐν μέρει αἱ δὲ ἀδιόριστοι, τὴν μὲν ἐν τῷ ὑπάρχειν καθόλου στερητικὴν ἀνάγκη τοῖς ὅροις ἀντιστρέφειν, οἷον εἰ μηδεμία ἡδονὴ ἀγαθόν, οὐδ' ἀγαθὸν οὐδὲν ἔσται ἡδονή· τὴν δὲ κατηγορικὴν ἀντιστρέφειν μὲν ἀναγκαῖον, οὐ μὴν καθόλου ἀλλ' ἐν μέρει, οἷον εἰ πᾶσα ἡδονὴ ἀγαθόν, καὶ ἀγαθόν τι εἶναι ἡδονήν· τῶν δὲ ἐν μέρει τὴν μὲν καταφατικὴν ἀντιστρέφειν ἀνάγκη κατὰ μέρος (εἰ γὰρ ἡδονή τις ἀγαθόν, καὶ ἀγαθόν τι ἔσται ἡδονή), τὴν δὲ στερητικὴν οὐκ ἀναγκαῖον· (οὐ γὰρ εἰ ἄνθρωπος μὴ ὑπάρχει τινὶ ζῴῳ, καὶ ζῷον οὐχ ὑπάρχει τινὶ ἀνθρώπῳ).\n\nΠρῶτον μὲν οὖν ἔστω στερητικὴ καθόλου ἡ Α Β πρότασις. εἰ οὖν μηδενὶ τῷ Β τὸ Α ὑπάρχει, οὐδὲ τῷ Α οὐδενὶ ὑπάρξει τὸ Β· εἰ γάρ τινι, οἷον τῷ Γ, οὐκ ἀληθὲς ἔσται τὸ μηδενὶ τῷ Β τὸ Α ὑπάρχειν· τὸ γὰρ Γ τῶν Β τί ἐστιν. εἰ δὲ παντὶ τὸ Α τῷ Β, καὶ τὸ Β τινὶ τῷ Α ὑπάρξει· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β ὑπάρξει· ἀλλ' ὑπέκειτο παντὶ ὑπάρχειν. ὁμοίως δὲ καὶ εἰ κατὰ μέρος ἐστὶν ἡ πρότασις. εἰ γὰρ τὸ Α τινὶ τῷ Β, καὶ τὸ Β τινὶ τῷ Α ἀνάγκη ὑπάρχειν· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β. εἰ δέ γε τὸ Α τινὶ τῷ Β μὴ ὑπάρχει, οὐκ ἀνάγκη καὶ τὸ Β τινὶ τῷ Α μὴ ὑπάρχειν, οἷον εἰ τὸ μὲν Β ἐστὶ ζῷον, τὸ δὲ Α ἄνθρωπος· ἄνθρωπος μὲν γὰρ οὐ παντὶ ζῴῳ, ζῷον δὲ παντὶ ἀνθρώπῳ ὑπάρχει."}]},{"contentHash":"sha256:d99f9b6cc6656105148fa151fb6d4cd3db915348a06dad7c8dcbc7548f1c6b74","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I4","kind":"fragment","locator":"article/4","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:c3355707ea934894059c02faf44f176b3d078e8a35ff34e425f09b1b1695f4ee","language":"grc","status":"official","text":"Διωρισμένων δὲ τούτων λέγωμεν ἤδη διὰ τίνων καὶ πότε καὶ πῶς γίνεται πᾶς συλλογισμός· ὕστερον δὲ λεκτέον περὶ ἀποδείξεως. πρότερον δὲ περὶ συλλογισμοῦ λεκτέον ἢ περὶ ἀποδείξεως διὰ τὸ καθόλου μᾶλλον εἶναι τὸν συλλογισμόν· ἡ μὲν γὰρ ἀπόδειξις συλλογισμός τις, ὁ συλλογισμὸς δὲ οὐ πᾶς ἀπόδειξις.\n\nὍταν οὖν ὅροι τρεῖς οὕτως ἔχωσι πρὸς ἀλλήλους ὥστε τὸν ἔσχατον ἐν ὅλῳ εἶναι τῷ μέσῳ καὶ τὸν μέσον ἐν ὅλῳ τῷ πρώτῳ ἢ εἶναι ἢ μὴ εἶναι, ἀνάγκη τῶν ἄκρων εἶναι συλλογισμὸν τέλειον. καλῶ δὲ μέσον μὲν ὃ καὶ αὐτὸ ἐν ἄλλῳ καὶ ἄλλο ἐν τούτῳ ἐστίν, ὃ καὶ τῇ θέσει γίνεται μέσον· ἄκρα δὲ τὸ αὐτό τε ἐν ἄλλῳ ὂν καὶ ἐν ᾧ ἄλλο ἐστίν. εἰ γὰρ τὸ Α κατὰ παντὸς τοῦ Β καὶ τὸ Β κατὰ παντὸς τοῦ Γ, ἀνάγκη τὸ Α κατὰ παντὸς τοῦ Γ κατηγορεῖσθαι· πρότερον γὰρ εἴρηται πῶς τὸ κατὰ παντὸς λέγομεν. ὁμοίως δὲ καὶ εἰ τὸ μὲν Α κατὰ μη[26a] δενὸς τοῦ Β, τὸ δὲ Β κατὰ παντὸς τοῦ Γ, ὅτι τὸ Α οὐδενὶ τῷ Γ ὑπάρξει. εἰ δὲ τὸ μὲν πρῶτον παντὶ τῷ μέσῳ ἀκολουθεῖ, τὸ δὲ μέσον μηδενὶ τῷ ἐσχάτῳ ὑπάρχει, οὐκ ἔσται συλλογισμὸς τῶν ἄκρων· οὐδὲν γὰρ ἀναγκαῖον συμβαίνει τῷ ταῦτα εἶναι· καὶ γὰρ παντὶ καὶ μηδενὶ ἐνδέχεται τὸ πρῶτον τῷ ἐσχάτῳ ὑπάρχειν, ὥστε οὔτε τὸ κατὰ μέρος οὔτε τὸ καθόλου γίνεται ἀναγκαῖον· μηδενὸς δὲ ὄντος ἀναγκαίου διὰ τούτων οὐκ ἔσται συλλογισμός. ὅροι τοῦ παντὶ ὑπάρχειν ζῷον —ἄνθρωπος — ἵππος, τοῦ μηδενὶ ζῷον —ἄνθρωπος —λίθος. οὐδ' ὅταν μήτε τὸ πρῶτον τῷ μέσῳ μήτε τὸ μέσον τῷ ἐσχάτῳ μηδενὶ ὑπάρχῃ, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν ἐπιστήμη —γραμμή —ἰατρική, τοῦ μὴ ὑπάρχειν ἐπιστήμη —γραμμή —μονάς. καθόλου μὲν οὖν ὄντων τῶν ὅρων, δῆλον ἐν τούτῳ τῷ σχήματι πότε ἔσται καὶ πότε οὐκ ἔσται συλλογισμός, καὶ ὅτι ὄντος τε συλλογισμοῦ τοὺς ὅρους ἀναγκαῖον ἔχειν ὡς εἴπομεν, ἄν θ' οὕτως ἔχωσιν, ὅτι ἔσται συλλογισμός.\n\nΕἰ δ' ὁ μὲν καθόλου τῶν ὅρων ὁ δ' ἐν μέρει πρὸς τὸν ἕτερον, ὅταν μὲν τὸ καθόλου τεθῇ πρὸς τὸ μεῖζον ἄκρον ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ ἐν μέρει πρὸς τὸ ἔλαττον κατηγορικόν, ἀνάγκη συλλογισμὸν εἶναι τέλειον, ὅταν δὲ πρὸς τὸ ἔλαττον ἢ καὶ ἄλλως πως ἔχωσιν οἱ ὅροι, ἀδύνατον. λέγω δὲ μεῖζον μὲν ἄκρον ἐν ᾧ τὸ μέσον ἐστίν, ἔλαττον δὲ τὸ ὑπὸ τὸ μέσον ὄν. ὑπαρχέτω γὰρ τὸ μὲν Α παντὶ τῷ Β, τὸ δὲ Β τινὶ τῷ Γ. οὐκοῦν εἰ ἔστι παντὸς κατηγορεῖσθαι τὸ ἐν ἀρχῇ λεχθέν, ἀνάγκη τὸ Α τινὶ τῷ Γ ὑπάρχειν. καὶ εἰ τὸ μὲν Α μηδενὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ, ἀνάγκη τὸ Α τινὶ τῷ Γ μὴ ὑπάρχειν· ὥρισται γὰρ καὶ τὸ κατὰ μηδενὸς πῶς λέγομεν· ὥστε ἔσται συλλογισμὸς τέλειος. ὁμοίως δὲ καὶ εἰ ἀδιόριστον εἴη τὸ Β Γ, κατηγορικὸν ὄν· ὁ γὰρ αὐτὸς ἔσται συλλογισμὸς ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος.\n\nἘὰν δὲ πρὸς τὸ ἔλαττον ἄκρον τὸ καθόλου τεθῇ ἢ κατηγορικὸν ἢ στερητικόν, οὐκ ἔσται συλλογισμός, οὔτε καταφατικοῦ οὔτε ἀποφατικοῦ τοῦ ἀδιορίστου ἢ κατὰ μέρος ὄντος, οἷον εἰ τὸ μὲν Α τινὶ τῷ Β ὑπάρχει ἢ μὴ ὑπάρχει, τὸ δὲ Β παντὶ τῷ Γ ὑπάρχει· ὅροι τοῦ ὑπάρχειν ἀγαθόν —ἕξις —φρόνησις, τοῦ μὴ ὑπάρχειν ἀγαθόν —ἕξις — ἀμαθία. πάλιν εἰ τὸ μὲν Β μηδενὶ τῷ Γ, τὸ δὲ Α τινὶ τῷ Β ἢ ὑπάρχει ἢ μὴ ὑπάρχει ἢ μὴ παντὶ ὑπάρχει, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι λευκόν —ἵππος —κύκνος, λευκόν —ἵππος —κόραξ. οἱ αὐτοὶ δὲ καὶ εἰ τὸ Α Β ἀδιόριστον. Οὐδ' ὅταν τὸ μὲν πρὸς [26b] τῷ μείζονι ἄκρῳ καθόλου γένηται ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ πρὸς τῷ ἐλάττονι στερητικὸν κατὰ μέρος, οὐκ ἔσται συλλογισμός [ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος], οἷον εἰ τὸ μὲν Α παντὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ μή, ἢ εἰ μὴ παντὶ ὑπάρχει· ᾧ γὰρ ἄν τινι μὴ ὑπάρχῃ τὸ μέσον, τούτῳ καὶ παντὶ καὶ οὐδενὶ ἀκολουθήσει τὸ πρῶτον. ὑποκείσθωσαν γὰρ οἱ ὅροι ζῷον —ἄνθρωπος —λευκόν· εἶτα καὶ ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, εἰλήφθω κύκνος καὶ χιών· οὐκοῦν τὸ ζῷον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός, ὥστε οὐκ ἔσται συλλογισμός. πάλιν τὸ μὲν Α μηδενὶ τῷ Β ὑπαρχέτω, τὸ δὲ Β τινὶ τῷ Γ μὴ ὑπαρχέτω· καὶ οἱ ὅροι ἔστωσαν ἄψυχον —ἄνθρωπος —λευκόν· εἶτα εἰλήφθωσαν, ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, κύκνος καὶ χιών· τὸ γὰρ ἄψυχον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός. ἔτι ἐπεὶ ἀδιόριστον τὸ τινὶ τῷ Γ τὸ Β μὴ ὑπάρχειν, ἀληθεύεται δέ, καὶ εἰ μηδενὶ ὑπάρχει καὶ εἰ μὴ παντί, ὅτι τινὶ οὐχ ὑπάρχει, ληφθέντων δὲ τοιούτων ὅρων ὥστε μηδενὶ ὑπάρχειν οὐ γίνεται συλλογισμός (τοῦτο γὰρ εἴρηται πρότερον), φανερὸν οὖν ὅτι τῷ οὕτως ἔχειν τοὺς ὅρους οὐκ ἔσται συλλογισμός· ἦν γὰρ ἂν καὶ ἐπὶ τούτων. ὁμοίως δὲ δειχθήσεται καὶ εἰ τὸ καθόλου τεθείη στερητικόν. Οὐδὲ ἐὰν ἄμφω τὰ διαστήματα κατὰ μέρος ἢ κατηγορικῶς ἢ στερητικῶς, ἢ τὸ μὲν κατηγορικῶς τὸ δὲ στερητικῶς λέγηται, ἢ τὸ μὲν ἀδιόριστον τὸ δὲ διωρισμένον, ἢ ἄμφω ἀδιόριστα, οὐκ ἔσται συλλογισμὸς οὐδαμῶς. ὅροι δὲ κοινοὶ πάντων ζῷον —λευκόν —ἵππος, ζῷον —λευκόν —λίθος.\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὡς ἐὰν ᾖ συλλογισμὸς ἐν τούτῳ τῷ σχήματι κατὰ μέρος, ὅτι ἀνάγκη τοὺς ὅρους οὕτως ἔχειν ὡς εἴπομεν· ἄλλως γὰρ ἐχόντων οὐδαμῶς γίνεται. δῆλον δὲ καὶ ὅτι πάντες οἱ ἐν αὐτῷ συλλογισμοὶ τέλειοί εἰσι· (πάντες γὰρ ἐπιτελοῦνται διὰ τῶν ἐξ ἀρχῆς ληφθέντων), καὶ ὅτι πάντα τὰ προβλήματα δείκνυται διὰ τούτου τοῦ σχήματος· καὶ γὰρ τὸ παντὶ καὶ τὸ μηδενὶ καὶ τὸ τινὶ καὶ τὸ μή τινι ὑπάρχειν. καλῶ δὲ τὸ τοιοῦτον σχῆμα πρῶτον."}]},{"contentHash":"sha256:838a16dd52ed3fd537beb59ea50009594d69ce632d7520ecb7081f0c430791a9","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I5","kind":"fragment","locator":"article/5","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:5e4ff1da45a88c46862da30228b9cf2a9208c50fc2112570a12f87dd7e1144fb","language":"grc","status":"official","text":"Ὅταν δὲ τὸ αὐτὸ τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἢ ἑκατέρῳ παντὶ ἢ μηδενί, τὸ μὲν σχῆμα τὸ τοιοῦτον καλῶ δεύτερον, μέσον δὲ ἐν αὐτῷ λέγω τὸ κατηγορούμενον ἀμφοῖν, ἄκρα δὲ καθ' ὧν λέγεται τοῦτο, μεῖζον δὲ ἄκρον τὸ πρὸς τῷ μέσῳ κείμενον· ἔλαττον δὲ τὸ πορρωτέρω τοῦ μέσου. τίθεται δὲ τὸ μέσον ἔξω μὲν τῶν ἄκρων, πρῶτον δὲ τῇ θέσει. [27a] τέλειος μὲν οὖν οὐκ ἔσται συλλογισμὸς οὐδαμῶς ἐν τούτῳ τῷ σχήματι, δυνατὸς δ' ἔσται καὶ καθόλου καὶ μὴ καθόλου τῶν ὅρων ὄντων. καθόλου μὲν οὖν ὄντων ἔσται συλλογισμὸς ὅταν τὸ μέσον τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἂν πρὸς ὁποτερῳοῦν ᾖ τὸ στερητικόν· ἄλλως δ' οὐδαμῶς. κατηγορείσθω γὰρ τὸ Μ τοῦ μὲν Ν μηδενός, τοῦ δὲ Ξ παντός. ἐπεὶ οὖν ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ παντὶ τῷ Ξ ὑπέκειτο· ὥστε τὸ Ν οὐδενὶ τῷ Ξ· τοῦτο γὰρ δέδεικται πρότερον. πάλιν εἰ τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ μηδενί, οὐδὲ τὸ Ξ τῷ Ν οὐδενὶ ὑπάρξει (εἰ γὰρ τὸ Μ οὐδενὶ τῷ Ξ, οὐδὲ τὸ Ξ οὐδενὶ τῷ Μ· τὸ δέ γε Μ παντὶ τῷ Ν ὑπῆρχεν· τὸ ἄρα Ξ οὐδενὶ τῷ Ν ὑπάρξει· γεγένηται γὰρ πάλιν τὸ πρῶτον σχῆμα)· ἐπεὶ δὲ ἀντιστρέφει τὸ στερητικόν, οὐδὲ τὸ Ν οὐδενὶ τῷ Ξ ὑπάρξει, ὥστ' ἔσται ὁ αὐτὸς συλλογισμός. ἔστι δὲ δεικνύναι ταῦτα καὶ εἰς τὸ ἀδύνατον ἄγοντας. ὅτι μὲν οὖν γίνεται συλλογισμὸς οὕτως ἐχόντων τῶν ὅρων, φανερόν, ἀλλ' οὐ τέλειος· οὐ γὰρ μόνον ἐκ τῶν ἐξ ἀρχῆς ἀλλὰ καὶ ἐξ ἄλλων ἐπιτελεῖται τὸ ἀναγκαῖον. ἐὰν δὲ τὸ Μ παντὸς τοῦ Ν καὶ τοῦ Ξ κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν οὐσία —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν οὐσία —ζῷον —ἀριθμός· μέσον οὐσία. οὐδ' ὅταν μήτε τοῦ Ν μήτε τοῦ Ξ μηδενὸς κατηγορῆται τὸ Μ. ὅροι τοῦ ὑπάρχειν γραμμή —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν γραμμή — ζῷον —λίθος. φανερὸν οὖν ὅτι ἂν ᾖ συλλογισμὸς καθόλου τῶν ὅρων ὄντων, ἀνάγκη τοὺς ὅρους ἔχειν ὡς ἐν ἀρχῇ εἴπομεν· ἄλλως γὰρ ἐχόντων οὐ γίνεται τὸ ἀναγκαῖον.\n\nἘὰν δὲ πρὸς τὸν ἕτερον ᾖ καθόλου τὸ μέσον, ὅταν μὲν πρὸς τὸν μείζω γένηται καθόλου ἢ κατηγορικῶς ἢ στερητικῶς, πρὸς δὲ τὸν ἐλάττω κατὰ μέρος καὶ ἀντικειμένως τῷ καθόλου (λέγω δὲ τὸ ἀντικειμένως, εἰ μὲν τὸ καθόλου στερητικόν, τὸ ἐν μέρει καταφατικόν· εἰ δὲ κατηγορικὸν τὸ καθόλου, τὸ ἐν μέρει στερητικόν), ἀνάγκη γίνεσθαι συλλογισμὸν στερητικὸν κατὰ μέρος. εἰ γὰρ τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν. ἐπεὶ γὰρ ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ ὑπέκειτο τινὶ τῷ Ξ ὑπάρχειν· ὥστε τὸ Ν τινὶ τῷ Ξ οὐχ ὑπάρξει· γίνεται γὰρ συλλογισμὸς διὰ τοῦ πρώτου σχήματος. πάλιν εἰ τῷ μὲν Ν παντὶ τὸ Μ, τῷ δὲ Ξ τινὶ μὴ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν· εἰ γὰρ παντὶ ὑπάρχει, κατηγορεῖται δὲ καὶ τὸ Μ παντὸς τοῦ Ν, ἀνάγκη τὸ Μ [27b] παντὶ τῷ Ξ ὑπάρχειν· ὑπέκειτο δὲ τινὶ μὴ ὑπάρχειν. καὶ εἰ τὸ Μ τῷ μὲν Ν παντὶ ὑπάρχει τῷ δὲ Ξ μὴ παντί, ἔσται συλλογισμὸς ὅτι οὐ παντὶ τῷ Ξ τὸ Ν· ἀπόδειξις δ' ἡ αὐτή. ἐὰν δὲ τοῦ μὲν Ξ παντὸς τοῦ δὲ Ν μὴ παντὸς κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι ζῷον —οὐσία —κόραξ, ζῷον —λευκόν — κόραξ. οὐδ' ὅταν τοῦ μὲν Ξ μηδενός, τοῦ δὲ Ν τινός. ὅροι τοῦ ὑπάρχειν ζῷον —οὐσία —μονάς, τοῦ μὴ ὑπάρχειν ζῷον —οὐσία — ἐπιστήμη.\n\nὍταν μὲν οὖν ἀντικείμενον ᾖ τὸ καθόλου τῷ κατὰ μέρος, εἴρηται πότ' ἔσται καὶ πότ' οὐκ ἔσται συλλογισμός· ὅταν δὲ ὁμοιοσχήμονες ὦσιν αἱ προτάσεις, οἷον ἀμφότεραι στερητικαὶ ἢ καταφατικαί, οὐδαμῶς ἔσται συλλογισμός. ἔστωσαν γὰρ πρῶτον στερητικαί, καὶ τὸ καθόλου κείσθω πρὸς τὸ μεῖζον ἄκρον, οἷον τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ μὴ ὑπαρχέτω· ἐνδέχεται δὴ καὶ παντὶ καὶ μηδενὶ τῷ Ξ τὸ Ν ὑπάρχειν. ὅροι τοῦ μὲν μὴ ὑπάρχειν μέλαν —χιών —ζῷον· τοῦ δὲ παντὶ ὑπάρχειν οὐκ ἔστι λαβεῖν, εἰ τὸ Μ τῷ Ξ τινὶ μὲν ὑπάρχει τινὶ δὲ μή. εἰ γὰρ παντὶ τῷ Ξ τὸ Ν, τὸ δὲ Μ μηδενὶ τῷ Ν, τὸ Μ οὐδενὶ τῷ Ξ ὑπάρξει· ἀλλ' ὑπέκειτο τινὶ ὑπάρχειν. οὕτω μὲν οὖν οὐκ ἐγχωρεῖ λαβεῖν ὅρους, ἐκ δὲ τοῦ ἀδιορίστου δεικτέον· ἐπεὶ γὰρ ἀληθεύεται τὸ τινὶ μὴ ὑπάρχειν τὸ Μ τῷ Ξ καὶ εἰ μηδενὶ ὑπάρχει, μηδενὶ δὲ ὑπάρχοντος οὐκ ἦν συλλογισμός, φανερὸν ὅτι οὐδὲ νῦν ἔσται. πάλιν ἔστωσαν κατηγορικαί, καὶ τὸ καθόλου κείσθω ὁμοίως, οἷον τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ τινὶ ὑπαρχέτω. ἐνδέχεται δὴ τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ μηδενὶ ὑπάρχειν λευκόν — κύκνος —λίθος τοῦ δὲ παντὶ οὐκ ἔσται λαβεῖν διὰ τὴν αὐτὴν αἰτίαν ἥνπερ πρότερον, ἀλλ' ἐκ τοῦ ἀδιορίστου δεικτέον. εἰ δὲ τὸκαθόλου πρὸς τὸ ἔλαττον ἄκρον ἐστί, καὶ τὸ Μ τῷ μὲν Ξ μηδενὶ τῷ δὲ Ν τινὶ μὴ ὑπάρχει, ἐνδέχεται τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ ὑπάρχειν λευκόν —ζῷον — κόραξ, τοῦ μὴ ὑπάρχειν λευκόν —λίθος —κόραξ. εἰ δὲ κατηγορικαὶ αἱ προτάσεις, ὅροι τοῦ μὴ ὑπάρχειν λευκόν —ζῷον —χιών, τοῦ ὑπάρχειν λευκόν —ζῷον —κύκνος. φανερὸν οὖν, ὅταν ὁμοιοσχήμονες ὦσιν αἱ προτάσεις καὶ ἡ μὲν καθόλου ἡ δ' ἐν μέρει, ὅτι οὐδαμῶς γίνεται συλλογισμός. ἀλλ' οὐδ' εἰ τινὶ ἑκατέρῳ ὑπάρχει ἢ μὴ ὑπάρχει, ἢ τῷ μὲν τῷ δὲ μή, ἢ μηδετέρῳ παντί, ἢ ἀδιορίστως. ὅροι δὲ κοινοὶ πάντων λευκόν —ζῷον —ἄνθρωπος, λευκόν —ζῷον —ἄψυχον. [28a]\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὅτι ἐάν τε οὕτως ἔχωσιν οἱ ὅροι πρὸς ἀλλήλους ὡς ἐλέχθη, γίνεται συλλογισμὸς ἐξ ἀνάγκης, ἄν τ' ᾖ συλλογισμός, ἀνάγκη τοὺς ὅρους οὕτως ἔχειν. δῆλον δὲ καὶ ὅτι πάντες ἀτελεῖς εἰσὶν οἱ ἐν τούτῳ τῷ σχήματι συλλογισμοί (πάντες γὰρ ἐπιτελοῦνται προσλαμβανομένων τινῶν, ἃ ἢ ἐνυπάρχει τοῖς ὅροις ἐξ ἀνάγκης ἢ τίθενται ὡς ὑποθέσεις, οἷον ὅταν διὰ τοῦ ἀδυνάτου δεικνύωμεν), καὶ ὅτι οὐ γίνεται καταφατικὸς συλλογισμὸς διὰ τούτου τοῦ σχήματος, ἀλλὰ πάντες στερητικοί, καὶ οἱ καθόλου καὶ οἱ κατὰ μέρος."}]}],"text":"belongs: **NEITHER** — НЕ УСТАНОВЛЕНО: в формализованном праве нет ни подтверждения, ни опровержения (открытый мир §69) — это не «нет»\nВыведено правом: excluded(O, Сущность, Животное); in_whole(Животное, Сущность); belongs(A, Сущность, Животное); excluded(O, Сущность, Человек); in_whole(Человек, Сущность); belongs(A, Сущность, Человек)\nПрименены правила: ContradictioUniversalisAffirmativae, InWholeIsPredicationOfAll, PredicationOfAllIsInWhole\nПравило «I.4 25b37 (Barbara): A of all B, B of all C, therefore A of all C» вывело бы это при посылках:\n    ✓ belongs(A, Сущность, Человек) — TRUE_ONLY\n    ? belongs(A, Животное, Сущность) — NEITHER\nПравило «I.1 24b26: being wholly in another is the same as being predicated of all of it» вывело бы это при посылках:\n    ? in_whole(Человек, Животное) — NEITHER\n(? — факт не подан и не выведен; ✗ — установлено обратное)\nПолные правила с посылками: law_rules({\"predicate\": \"belongs\"})\nПраво (вне юрисдикции государства): «Первая аналитика» Аристотеля, книга I, главы 1—7: ассерторическая силлогистика — доктрина — EXECUTABLE 6 §33.1 (programHash sha256:5cc9aab92a96…)\nproof-граф: 11 узлов — поле evaluation готово для law_explain"},{"answer":{"answer":{"evaluationStatus":"COMPUTED","kind":"TRUTH","meaning":"НЕ УСТАНОВЛЕНО: в формализованном праве нет ни подтверждения, ни опровержения (открытый мир §69) — это не «нет»","missingInputs":[],"truthStatus":"NEITHER"},"closedEditionRules":[],"derived":["excluded(O, Животное, Человек)","in_whole(Человек, Животное)","belongs(A, Животное, Человек)","excluded(I, Человек, Лошадь)","belongs(E, Лошадь, Человек)","excluded(I, Лошадь, Человек)","belongs(E, Человек, 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and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых 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(§93.2)\",\"id\":\"urn:result:constraint:NihilExclusumEstSimulPositum:1529e4845a415120:input:0\",\"kind\":\"fact\",\"relatedNode\":\"urn:grc:aristoteles:clir:analytica-priora#belongs\"}],\"normativeStatus\":\"UNDETERMINED\",\"normativeStatusSupports\":[],\"proof\":\"urn:proof:constraint:NihilExclusumEstSimulPositum:4e8d41f59bca671cec727696311afaece93e38ec10586d38a3eb8d5e2b1b75e9\",\"query\":\"urn:query:mcp\",\"resultKind\":\"CONSTRAINT\",\"sourceAnchors\":[],\"target\":\"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum\",\"triggerStatus\":\"SATISFIED\",\"truthStatus\":\"NEITHER\"},{\"applicabilityStatus\":\"APPLICABLE\",\"conflicts\":[],\"evaluationStatus\":\"COMPUTED\",\"evidence\":[],\"id\":\"urn:result:constraint:NihilExclusumEstSimulPositum:7c25e760a234f052\",\"judgmentRequests\":[],\"manifest\":\"urn:manifest:oracle-1\",\"missingInputs\":[{\"description\":\"urn:grc:aristoteles:clir:analytica-priora#belongs: опора не установлена 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фигура с посылками A и E","presentation":{"blockers":{"whyNot":[{"anchors":["urn:grc:aristoteles:clir:analytica-priora#APR_I4"],"label":"I.4 26a1 (Celarent): A of no B, B of all C, therefore A of no C","premises":[{"args":["A","v1","Лошадь"],"predicate":"belongs","predicateId":"urn:grc:aristoteles:clir:analytica-priora#belongs","status":"DEPENDS","text":"belongs(A, v1, Лошадь)"},{"args":["E","Животное","v1"],"predicate":"belongs","predicateId":"urn:grc:aristoteles:clir:analytica-priora#belongs","status":"DEPENDS","text":"belongs(E, Животное, v1)"}],"rule":"Celarent","ruleId":"urn:grc:aristoteles:clir:analytica-priora#Celarent"},{"anchors":["urn:grc:aristoteles:clir:analytica-priora#APR_I2"],"label":"I.2 25a5: the universal negative converts simply","premises":[{"args":["E","Лошадь","Животное"],"predicate":"belongs","predicateId":"urn:grc:aristoteles:clir:analytica-priora#belongs","status":"NEITHER","text":"belongs(E, Лошадь, Животное)"}],"rule":"ConversioUniversalisNegativae","ruleId":"urn:grc:aristoteles:clir:analytica-priora#ConversioUniversalisNegativae"}]},"schemaVersion":"law.answers.presentation/0.1","source":{"requestCanonicalSha256":"sha256:c231bbfe3de7952e8cd95c42855ea8426d9e5ab7f637cad0824ec7eff7daaa44"},"steps":[{"conclusion":{"literal":{"args":[{"id":"urn:grc:aristoteles:clir:analytica-priora#E","kind":"const_ref"},{"id":"urn:mcp:entity:Животное","kind":"entity_ref"},{"id":"urn:mcp:entity:Лошадь","kind":"entity_ref"}],"kind":"literal","polarity":"positive","predicate":"urn:grc:aristoteles:clir:analytica-priora#belongs"},"truthStatus":"NEITHER"},"id":"urn:proof:query:mcp","kind":"query_evaluation","originStatus":"available","premises":[],"trust":"engine"}],"symbols":[{"id":"urn:grc:aristoteles:clir:analytica-priora#Celarent","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.4 26a1 (Celarent): A of no B, B of all C, therefore A of no C"},{"language":"grc","status":"official","text":"ὁμοίως δὲ καὶ εἰ τὸ μὲν Α κατὰ μη[26a] δενὸς τοῦ Β, τὸ δὲ Β κατὰ παντὸς τοῦ Γ, ὅτι τὸ Α οὐδενὶ τῷ Γ ὑπάρξει"},{"language":"ru","status":"unofficial","text":"I.4 26a1 (Celarent): A ни о каком B, B обо всяком Γ — значит A ни о каком Γ"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisAffirmativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"an established universal affirmative excludes the particular negative over the same pair"},{"language":"grc","status":"official","text":"ὑπέκειτο παντὶ ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"доказанное общеутвердительное исключает частноотрицательное над той же парой (I.2 25a12, I.5 27a38: на этом стоят доказательства обращения и сведения к нелепому)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ContradictioUniversalisNegativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"an established universal negative excludes the particular affirmative over the same pair"},{"language":"grc","status":"official","text":"οὐκ ἀληθὲς ἔσται τὸ μηδενὶ τῷ Β τὸ Α ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"доказанное общеотрицательное исключает частноутвердительное над той же парой (I.2 25a8 — довод, которым обосновано обращение E)"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#ConversioUniversalisNegativae","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.2 25a5: the universal negative converts simply"},{"language":"grc","status":"official","text":"τὴν μὲν ἐν τῷ ὑπάρχειν καθόλου στερητικὴν ἀνάγκη τοῖς ὅροις ἀντιστρέφειν"},{"language":"ru","status":"unofficial","text":"I.2 25a5: общеотрицательное обращается просто — если ни одно удовольствие не благо, то и ни одно благо не удовольствие"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Form","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"quantity and quality of a premiss: A, E, I, O and the two indefinite forms (I.1 24a16-22)"},{"language":"grc","status":"official","text":"καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος· καταφατικὴ ἢ ἀποφατική"},{"language":"ru","status":"unofficial","text":"форма суждения: A — общеутвердительное (παντὶ ὑπάρχειν), E — общеотрицательное (μηδενὶ ὑπάρχειν), I — частноутвердительное (τινὶ ὑπάρχειν), O — частноотрицательное (τινὶ μὴ ὑπάρχειν), плюс два неопределённых (ἀδιόριστον)"}],"name":"Form","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#InWholeIsPredicationOfAll","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b26: being wholly in another is the same as being predicated of all of it"},{"language":"grc","status":"official","text":"τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν"},{"language":"ru","status":"unofficial","text":"I.1 24b26: если один термин в целом в другом, то другой сказывается обо всём первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#NihilExclusumEstSimulPositum","kind":"constraint","labels":[{"language":"en","status":"unofficial","text":"an excluded form cannot at the same time be established over the same pair of terms"},{"language":"grc","status":"official","text":"φάσις δὲ καὶ ἀπόφασις οὐχ ὑπάρχουσιν αἱ ἀντικείμεναι ἅμα τῷ αὐτῷ"},{"language":"ru","status":"unofficial","text":"исключённая форма не может быть одновременно установленной над той же парой терминов"}],"package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#PredicationOfAllIsInWhole","kind":"rule","labels":[{"language":"en","status":"unofficial","text":"I.1 24b28: being predicated of all is the same as the other being wholly in it"},{"language":"grc","status":"official","text":"λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν"},{"language":"ru","status":"unofficial","text":"I.1 24b28: если один термин сказывается обо всём другом, то другой в целом в первом"}],"package":"urn:grc:aristoteles:clir:analytica-priora","strength":"strict"},{"id":"urn:grc:aristoteles:clir:analytica-priora#Term","kind":"type_decl","labels":[{"language":"en","status":"unofficial","text":"term: that into which a premiss is resolved (I.1 24b16)"},{"language":"grc","status":"official","text":"ὅρος"},{"language":"ru","status":"unofficial","text":"термин: то, на что разлагается посылка (I.1 24b16)"}],"name":"Term","package":"urn:grc:aristoteles:clir:analytica-priora"},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the predicate belongs to the subject in the given form"},{"language":"grc","status":"official","text":"ὑπάρχειν"},{"language":"ru","status":"unofficial","text":"сказуемое сказывается о подлежащем в данной форме"}],"name":"belongs","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#belongs/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"the form is excluded for this pair of terms by the opposite judgement already established"},{"language":"grc","status":"official","text":"ἀντικεῖσθαι"},{"language":"ru","status":"unofficial","text":"форма суждения исключена для этой пары терминов противолежащим ей доказанным суждением"}],"name":"excluded","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/form","labels":[],"name":"form","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Form"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/pred","labels":[],"name":"pred","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#excluded/arg/subj","labels":[],"name":"subj","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"},{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole","kind":"symbol_decl","labels":[{"language":"en","status":"unofficial","text":"one term is wholly contained in another"},{"language":"grc","status":"official","text":"ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ"},{"language":"ru","status":"unofficial","text":"внутренний термин целиком содержится в объемлющем"}],"name":"in_whole","package":"urn:grc:aristoteles:clir:analytica-priora","parameters":[{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole/arg/inner","labels":[],"name":"inner","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}},{"id":"urn:grc:aristoteles:clir:analytica-priora#in_whole/arg/outer","labels":[],"name":"outer","type":{"name":"urn:grc:aristoteles:clir:analytica-priora#Term"}}],"symbolKind":"relation"}],"tables":[]},"provenance":{"acts":[{"contributed":true,"fragmentCount":7,"fragments":["urn:grc:aristoteles:clir:analytica-priora#APR_I1","urn:grc:aristoteles:clir:analytica-priora#APR_I2","urn:grc:aristoteles:clir:analytica-priora#APR_I5"],"jurisdiction":"none","namespace":"urn:grc:aristoteles:clir:analytica-priora","package":"grc-prior-analytics","title":"«Первая аналитика» Аристотеля, книга I, главы 1—7: ассерторическая силлогистика — вне юрисдикции государства — доктрина — EXECUTABLE 6 §33.1"}],"caseHash":"sha256:ec32a63c26dc57fb3276acd15af571368e21b00acb3304600fafd9da3ad7cf3e","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"вне юрисдикции государства","legalTime":"2026-08-31","mode":"audit","programHash":"sha256:5cc9aab92a96710ee8bbe0c42d337356adcb1e7783e2b7b0916e4e5fe2684a1b","resultHash":"sha256:fec026c94b868b71701354e1e1fe99fa0d74c14852fa75736842f70d5ad7f8c6","rustCodeHash":"sha256:d368cafc7162ed7a6563df5e5c943a57be26fa8aeb3179b530fe3bdd67fe9be4","timezone":"Asia/Qyzylorda"},"request":{"args":["E","Животное","Лошадь"],"facts":[{"args":["A","Животное","Человек"],"predicate":"belongs"},{"args":["E","Человек","Лошадь"],"predicate":"belongs"}],"kind":"truth","legalTime":"2026-08-31","package":"grc-prior-analytics","predicate":"belongs","proof":true},"sources":[{"contentHash":"sha256:8732b06097cc9f5ba5e9ce6d21088d06dd2bf9e425eed4592d66d41bce3cce71","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I1","kind":"fragment","locator":"article/1","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:53130d12891faa6b07101ad112650f43ad945c55546670200b5d6cca5ce36ae5","language":"grc","status":"official","text":"[24a] Πρῶτον εἰπεῖν περὶ τί καὶ τίνος ἐστὶν ἡ σκέψις, ὅτι περὶ ἀπόδειξιν καὶ ἐπιστήμης ἀποδεικτικῆς· εἶτα διορίσαι τί ἐστι πρότασις καὶ τί ὅρος καὶ τί συλλογισμός, καὶ ποῖος τέλειος καὶ ποῖος ἀτελής, μετὰ δὲ ταῦτα τί τὸ ἐν ὅλῳ εἶναι ἢ μὴ εἶναι τόδε τῷδε, καὶ τί λέγομεν τὸ κατὰ παντὸς ἢ μηδενὸς κατηγορεῖσθαι.\n\nΠρότασις μὲν οὖν ἐστὶ λόγος καταφατικὸς ἢ ἀποφατικός τινος κατά τινος· οὗτος δὲ ἢ καθόλου ἢ ἐν μέρει ἢ ἀδιόριστος. λέγω δὲ καθόλου μὲν τὸ παντὶ ἢ μηδενὶ ὑπάρχειν, ἐν μέρει δὲ τὸ τινὶ ἢ μὴ τινὶ ἢ μὴ παντὶ ὑπάρχειν, ἀδιόριστον δὲ τὸ ὑπάρχειν ἢ μὴ ὑπάρχειν ἄνευ τοῦ καθόλου ἢ κατὰ μέρος, οἷον τὸ τῶν ἐναντίων εἶναι τὴν αὐτὴν ἐπιστήμην ἢ τὸ τὴν ἡδονὴν μὴ εἶναι ἀγαθόν. διαφέρει δὲ ἡ ἀποδεικτικὴ πρότασις τῆς διαλεκτικῆς, ὅτι ἡ μὲν ἀποδεικτικὴ λῆψις θατέρου μορίου τῆς ἀντιφάσεώς ἐστιν (οὐ γὰρ ἐρωτᾷ ἀλλὰ λαμβάνει ὁ ἀποδεικνύων), ἡ δὲ διαλεκτικὴ ἐρώτησις ἀντιφάσεώς ἐστιν. οὐδὲν δὲ διοίσει πρὸς τὸ γενέσθαι τὸν ἑκατέρου συλλογισμόν· καὶ γὰρ ὁ ἀποδεικνύων καὶ ὁ ἐρωτῶν συλλογίζεται λαβών τι κατά τινος ὑπάρχειν ἢ μὴ ὑπάρχειν. ὥστε ἔσται συλλογιστικὴ μὲν πρότασις ἁπλῶς κατάφασις ἢ ἀπόφασίς τινος κατά τινος τὸν εἰρημένον τρόπον, ἀποδεικτικὴ δέ, ἐὰν ἀληθὴς ᾖ καὶ διὰ τῶν ἐξ ἀρχῆς [24b] ὑποθέσεων εἰλημμένη, διαλεκτικὴ δὲ πυνθανομένῳ μὲν ἐρώτησις ἀντιφάσεως, συλλογιζομένῳ δὲ λῆψις τοῦ φαινομένου καὶ ἐνδόξου, καθάπερ ἐν τοῖς Τοπικοῖς εἴρηται. τί μὲν οὖν ἐστὶ πρότασις, καὶ τί διαφέρει συλλογιστικὴ καὶ ἀποδεικτικὴ καὶ διαλεκτική, δι' ἀκριβείας μὲν ἐν τοῖς ἑπομένοις ῥηθήσεται, πρὸς δὲ τὴν παροῦσαν χρείαν ἱκανῶς ἡμῖν διωρίσθω τὰ νῦν.\n\nὍρον δὲ καλῶ εἰς ὃν διαλύεται ἡ πρότασις, οἷον τό τε κατηγορούμενον καὶ τὸ καθ' οὗ κατηγορεῖται, προστιθεμένου [ἢ διαιρουμένου] τοῦ εἶναι ἢ μὴ εἶναι. συλλογισμὸς δέ ἐστι λόγος ἐνᾧ τεθέντων τινῶν ἕτερόν τι τῶν κειμένων ἐξ ἀνάγκης συμβαίνει τῷ ταῦτα εἶναι. λέγω δὲ τῷ ταῦτα εἶναι τὸ διὰ ταῦτα συμβαίνειν, τὸ δὲ διὰ ταῦτα συμβαίνειν τὸ μηδενὸς ἔξωθεν ὅρου προσδεῖν πρὸς τὸ γενέσθαι τὸ ἀναγκαῖον. τέλειον μὲν οὖν καλῶ συλλογισμὸν τὸν μηδενὸς ἄλλου προσδεόμενον παρὰ τὰ εἰλημμένα πρὸς τὸ φανῆναι τὸ ἀναγκαῖον, ἀτελῆ δὲ τὸν προσδεόμενον ἢ ἑνὸς ἢ πλειόνων, ἃ ἔστι μὲν ἀναγκαῖα διὰ τῶν ὑποκειμένων ὅρων, οὐ μὴν εἴληπται διὰ προτάσεων. τὸ δὲ ἐν ὅλῳ εἶναι ἕτερον ἑτέρῳ καὶ τὸ κατὰ παντὸς κατηγορεῖσθαι θατέρου θάτερον ταὐτόν ἐστιν. λέγομεν δὲ τὸ κατὰ παντὸς κατηγορεῖσθαι ὅταν μηδὲν ᾖ λαβεῖν [τοῦ ὑποκειμένου] καθ' οὗ θάτερον οὐ λεχθήσεται· καὶ τὸ κατὰ μηδενὸς ὡσαύτως. [25a]"}]},{"contentHash":"sha256:cdb8d6373fd8797e6396011356dd19d286a545811fb98e64eb848189f8da92aa","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I2","kind":"fragment","locator":"article/2","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:2498d199f2870c11a027d3c4085755dd09a100b301445c6937393dbdff477649","language":"grc","status":"official","text":"Ἐπεὶ δὲ πᾶσα πρότασίς ἐστιν ἢ τοῦ ὑπάρχειν ἢ τοῦ ἐξ ἀνάγκης ὑπάρχειν ἢ τοῦ ἐνδέχεσθαι ὑπάρχειν, τούτων δὲ αἱ μὲν καταφατικαὶ αἱ δὲ ἀποφατικαὶ καθ' ἑκάστην πρόσρησιν, πάλιν δὲ τῶν καταφατικῶν καὶ ἀποφατικῶν αἱ μὲν καθόλου αἱ δὲ ἐν μέρει αἱ δὲ ἀδιόριστοι, τὴν μὲν ἐν τῷ ὑπάρχειν καθόλου στερητικὴν ἀνάγκη τοῖς ὅροις ἀντιστρέφειν, οἷον εἰ μηδεμία ἡδονὴ ἀγαθόν, οὐδ' ἀγαθὸν οὐδὲν ἔσται ἡδονή· τὴν δὲ κατηγορικὴν ἀντιστρέφειν μὲν ἀναγκαῖον, οὐ μὴν καθόλου ἀλλ' ἐν μέρει, οἷον εἰ πᾶσα ἡδονὴ ἀγαθόν, καὶ ἀγαθόν τι εἶναι ἡδονήν· τῶν δὲ ἐν μέρει τὴν μὲν καταφατικὴν ἀντιστρέφειν ἀνάγκη κατὰ μέρος (εἰ γὰρ ἡδονή τις ἀγαθόν, καὶ ἀγαθόν τι ἔσται ἡδονή), τὴν δὲ στερητικὴν οὐκ ἀναγκαῖον· (οὐ γὰρ εἰ ἄνθρωπος μὴ ὑπάρχει τινὶ ζῴῳ, καὶ ζῷον οὐχ ὑπάρχει τινὶ ἀνθρώπῳ).\n\nΠρῶτον μὲν οὖν ἔστω στερητικὴ καθόλου ἡ Α Β πρότασις. εἰ οὖν μηδενὶ τῷ Β τὸ Α ὑπάρχει, οὐδὲ τῷ Α οὐδενὶ ὑπάρξει τὸ Β· εἰ γάρ τινι, οἷον τῷ Γ, οὐκ ἀληθὲς ἔσται τὸ μηδενὶ τῷ Β τὸ Α ὑπάρχειν· τὸ γὰρ Γ τῶν Β τί ἐστιν. εἰ δὲ παντὶ τὸ Α τῷ Β, καὶ τὸ Β τινὶ τῷ Α ὑπάρξει· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β ὑπάρξει· ἀλλ' ὑπέκειτο παντὶ ὑπάρχειν. ὁμοίως δὲ καὶ εἰ κατὰ μέρος ἐστὶν ἡ πρότασις. εἰ γὰρ τὸ Α τινὶ τῷ Β, καὶ τὸ Β τινὶ τῷ Α ἀνάγκη ὑπάρχειν· εἰ γὰρ μηδενί, οὐδὲ τὸ Α οὐδενὶ τῷ Β. εἰ δέ γε τὸ Α τινὶ τῷ Β μὴ ὑπάρχει, οὐκ ἀνάγκη καὶ τὸ Β τινὶ τῷ Α μὴ ὑπάρχειν, οἷον εἰ τὸ μὲν Β ἐστὶ ζῷον, τὸ δὲ Α ἄνθρωπος· ἄνθρωπος μὲν γὰρ οὐ παντὶ ζῴῳ, ζῷον δὲ παντὶ ἀνθρώπῳ ὑπάρχει."}]},{"contentHash":"sha256:d99f9b6cc6656105148fa151fb6d4cd3db915348a06dad7c8dcbc7548f1c6b74","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I4","kind":"fragment","locator":"article/4","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:c3355707ea934894059c02faf44f176b3d078e8a35ff34e425f09b1b1695f4ee","language":"grc","status":"official","text":"Διωρισμένων δὲ τούτων λέγωμεν ἤδη διὰ τίνων καὶ πότε καὶ πῶς γίνεται πᾶς συλλογισμός· ὕστερον δὲ λεκτέον περὶ ἀποδείξεως. πρότερον δὲ περὶ συλλογισμοῦ λεκτέον ἢ περὶ ἀποδείξεως διὰ τὸ καθόλου μᾶλλον εἶναι τὸν συλλογισμόν· ἡ μὲν γὰρ ἀπόδειξις συλλογισμός τις, ὁ συλλογισμὸς δὲ οὐ πᾶς ἀπόδειξις.\n\nὍταν οὖν ὅροι τρεῖς οὕτως ἔχωσι πρὸς ἀλλήλους ὥστε τὸν ἔσχατον ἐν ὅλῳ εἶναι τῷ μέσῳ καὶ τὸν μέσον ἐν ὅλῳ τῷ πρώτῳ ἢ εἶναι ἢ μὴ εἶναι, ἀνάγκη τῶν ἄκρων εἶναι συλλογισμὸν τέλειον. καλῶ δὲ μέσον μὲν ὃ καὶ αὐτὸ ἐν ἄλλῳ καὶ ἄλλο ἐν τούτῳ ἐστίν, ὃ καὶ τῇ θέσει γίνεται μέσον· ἄκρα δὲ τὸ αὐτό τε ἐν ἄλλῳ ὂν καὶ ἐν ᾧ ἄλλο ἐστίν. εἰ γὰρ τὸ Α κατὰ παντὸς τοῦ Β καὶ τὸ Β κατὰ παντὸς τοῦ Γ, ἀνάγκη τὸ Α κατὰ παντὸς τοῦ Γ κατηγορεῖσθαι· πρότερον γὰρ εἴρηται πῶς τὸ κατὰ παντὸς λέγομεν. ὁμοίως δὲ καὶ εἰ τὸ μὲν Α κατὰ μη[26a] δενὸς τοῦ Β, τὸ δὲ Β κατὰ παντὸς τοῦ Γ, ὅτι τὸ Α οὐδενὶ τῷ Γ ὑπάρξει. εἰ δὲ τὸ μὲν πρῶτον παντὶ τῷ μέσῳ ἀκολουθεῖ, τὸ δὲ μέσον μηδενὶ τῷ ἐσχάτῳ ὑπάρχει, οὐκ ἔσται συλλογισμὸς τῶν ἄκρων· οὐδὲν γὰρ ἀναγκαῖον συμβαίνει τῷ ταῦτα εἶναι· καὶ γὰρ παντὶ καὶ μηδενὶ ἐνδέχεται τὸ πρῶτον τῷ ἐσχάτῳ ὑπάρχειν, ὥστε οὔτε τὸ κατὰ μέρος οὔτε τὸ καθόλου γίνεται ἀναγκαῖον· μηδενὸς δὲ ὄντος ἀναγκαίου διὰ τούτων οὐκ ἔσται συλλογισμός. ὅροι τοῦ παντὶ ὑπάρχειν ζῷον —ἄνθρωπος — ἵππος, τοῦ μηδενὶ ζῷον —ἄνθρωπος —λίθος. οὐδ' ὅταν μήτε τὸ πρῶτον τῷ μέσῳ μήτε τὸ μέσον τῷ ἐσχάτῳ μηδενὶ ὑπάρχῃ, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν ἐπιστήμη —γραμμή —ἰατρική, τοῦ μὴ ὑπάρχειν ἐπιστήμη —γραμμή —μονάς. καθόλου μὲν οὖν ὄντων τῶν ὅρων, δῆλον ἐν τούτῳ τῷ σχήματι πότε ἔσται καὶ πότε οὐκ ἔσται συλλογισμός, καὶ ὅτι ὄντος τε συλλογισμοῦ τοὺς ὅρους ἀναγκαῖον ἔχειν ὡς εἴπομεν, ἄν θ' οὕτως ἔχωσιν, ὅτι ἔσται συλλογισμός.\n\nΕἰ δ' ὁ μὲν καθόλου τῶν ὅρων ὁ δ' ἐν μέρει πρὸς τὸν ἕτερον, ὅταν μὲν τὸ καθόλου τεθῇ πρὸς τὸ μεῖζον ἄκρον ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ ἐν μέρει πρὸς τὸ ἔλαττον κατηγορικόν, ἀνάγκη συλλογισμὸν εἶναι τέλειον, ὅταν δὲ πρὸς τὸ ἔλαττον ἢ καὶ ἄλλως πως ἔχωσιν οἱ ὅροι, ἀδύνατον. λέγω δὲ μεῖζον μὲν ἄκρον ἐν ᾧ τὸ μέσον ἐστίν, ἔλαττον δὲ τὸ ὑπὸ τὸ μέσον ὄν. ὑπαρχέτω γὰρ τὸ μὲν Α παντὶ τῷ Β, τὸ δὲ Β τινὶ τῷ Γ. οὐκοῦν εἰ ἔστι παντὸς κατηγορεῖσθαι τὸ ἐν ἀρχῇ λεχθέν, ἀνάγκη τὸ Α τινὶ τῷ Γ ὑπάρχειν. καὶ εἰ τὸ μὲν Α μηδενὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ, ἀνάγκη τὸ Α τινὶ τῷ Γ μὴ ὑπάρχειν· ὥρισται γὰρ καὶ τὸ κατὰ μηδενὸς πῶς λέγομεν· ὥστε ἔσται συλλογισμὸς τέλειος. ὁμοίως δὲ καὶ εἰ ἀδιόριστον εἴη τὸ Β Γ, κατηγορικὸν ὄν· ὁ γὰρ αὐτὸς ἔσται συλλογισμὸς ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος.\n\nἘὰν δὲ πρὸς τὸ ἔλαττον ἄκρον τὸ καθόλου τεθῇ ἢ κατηγορικὸν ἢ στερητικόν, οὐκ ἔσται συλλογισμός, οὔτε καταφατικοῦ οὔτε ἀποφατικοῦ τοῦ ἀδιορίστου ἢ κατὰ μέρος ὄντος, οἷον εἰ τὸ μὲν Α τινὶ τῷ Β ὑπάρχει ἢ μὴ ὑπάρχει, τὸ δὲ Β παντὶ τῷ Γ ὑπάρχει· ὅροι τοῦ ὑπάρχειν ἀγαθόν —ἕξις —φρόνησις, τοῦ μὴ ὑπάρχειν ἀγαθόν —ἕξις — ἀμαθία. πάλιν εἰ τὸ μὲν Β μηδενὶ τῷ Γ, τὸ δὲ Α τινὶ τῷ Β ἢ ὑπάρχει ἢ μὴ ὑπάρχει ἢ μὴ παντὶ ὑπάρχει, οὐδ' οὕτως ἔσται συλλογισμός. ὅροι λευκόν —ἵππος —κύκνος, λευκόν —ἵππος —κόραξ. οἱ αὐτοὶ δὲ καὶ εἰ τὸ Α Β ἀδιόριστον. Οὐδ' ὅταν τὸ μὲν πρὸς [26b] τῷ μείζονι ἄκρῳ καθόλου γένηται ἢ κατηγορικὸν ἢ στερητικόν, τὸ δὲ πρὸς τῷ ἐλάττονι στερητικὸν κατὰ μέρος, οὐκ ἔσται συλλογισμός [ἀδιορίστου τε καὶ ἐν μέρει ληφθέντος], οἷον εἰ τὸ μὲν Α παντὶ τῷ Β ὑπάρχει, τὸ δὲ Β τινὶ τῷ Γ μή, ἢ εἰ μὴ παντὶ ὑπάρχει· ᾧ γὰρ ἄν τινι μὴ ὑπάρχῃ τὸ μέσον, τούτῳ καὶ παντὶ καὶ οὐδενὶ ἀκολουθήσει τὸ πρῶτον. ὑποκείσθωσαν γὰρ οἱ ὅροι ζῷον —ἄνθρωπος —λευκόν· εἶτα καὶ ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, εἰλήφθω κύκνος καὶ χιών· οὐκοῦν τὸ ζῷον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός, ὥστε οὐκ ἔσται συλλογισμός. πάλιν τὸ μὲν Α μηδενὶ τῷ Β ὑπαρχέτω, τὸ δὲ Β τινὶ τῷ Γ μὴ ὑπαρχέτω· καὶ οἱ ὅροι ἔστωσαν ἄψυχον —ἄνθρωπος —λευκόν· εἶτα εἰλήφθωσαν, ὧν μὴ κατηγορεῖται λευκῶν ὁ ἄνθρωπος, κύκνος καὶ χιών· τὸ γὰρ ἄψυχον τοῦ μὲν παντὸς κατηγορεῖται, τοῦ δὲ οὐδενός. ἔτι ἐπεὶ ἀδιόριστον τὸ τινὶ τῷ Γ τὸ Β μὴ ὑπάρχειν, ἀληθεύεται δέ, καὶ εἰ μηδενὶ ὑπάρχει καὶ εἰ μὴ παντί, ὅτι τινὶ οὐχ ὑπάρχει, ληφθέντων δὲ τοιούτων ὅρων ὥστε μηδενὶ ὑπάρχειν οὐ γίνεται συλλογισμός (τοῦτο γὰρ εἴρηται πρότερον), φανερὸν οὖν ὅτι τῷ οὕτως ἔχειν τοὺς ὅρους οὐκ ἔσται συλλογισμός· ἦν γὰρ ἂν καὶ ἐπὶ τούτων. ὁμοίως δὲ δειχθήσεται καὶ εἰ τὸ καθόλου τεθείη στερητικόν. Οὐδὲ ἐὰν ἄμφω τὰ διαστήματα κατὰ μέρος ἢ κατηγορικῶς ἢ στερητικῶς, ἢ τὸ μὲν κατηγορικῶς τὸ δὲ στερητικῶς λέγηται, ἢ τὸ μὲν ἀδιόριστον τὸ δὲ διωρισμένον, ἢ ἄμφω ἀδιόριστα, οὐκ ἔσται συλλογισμὸς οὐδαμῶς. ὅροι δὲ κοινοὶ πάντων ζῷον —λευκόν —ἵππος, ζῷον —λευκόν —λίθος.\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὡς ἐὰν ᾖ συλλογισμὸς ἐν τούτῳ τῷ σχήματι κατὰ μέρος, ὅτι ἀνάγκη τοὺς ὅρους οὕτως ἔχειν ὡς εἴπομεν· ἄλλως γὰρ ἐχόντων οὐδαμῶς γίνεται. δῆλον δὲ καὶ ὅτι πάντες οἱ ἐν αὐτῷ συλλογισμοὶ τέλειοί εἰσι· (πάντες γὰρ ἐπιτελοῦνται διὰ τῶν ἐξ ἀρχῆς ληφθέντων), καὶ ὅτι πάντα τὰ προβλήματα δείκνυται διὰ τούτου τοῦ σχήματος· καὶ γὰρ τὸ παντὶ καὶ τὸ μηδενὶ καὶ τὸ τινὶ καὶ τὸ μή τινι ὑπάρχειν. καλῶ δὲ τὸ τοιοῦτον σχῆμα πρῶτον."}]},{"contentHash":"sha256:838a16dd52ed3fd537beb59ea50009594d69ce632d7520ecb7081f0c430791a9","edition":"urn:grc:aristoteles:clir:analytica-priora#ANALYTICA_PRIORA_GRC","fragmentKind":"chapter","id":"urn:grc:aristoteles:clir:analytica-priora#APR_I5","kind":"fragment","locator":"article/5","package":"urn:grc:aristoteles:clir:analytica-priora","texts":[{"contentHash":"sha256:5e4ff1da45a88c46862da30228b9cf2a9208c50fc2112570a12f87dd7e1144fb","language":"grc","status":"official","text":"Ὅταν δὲ τὸ αὐτὸ τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἢ ἑκατέρῳ παντὶ ἢ μηδενί, τὸ μὲν σχῆμα τὸ τοιοῦτον καλῶ δεύτερον, μέσον δὲ ἐν αὐτῷ λέγω τὸ κατηγορούμενον ἀμφοῖν, ἄκρα δὲ καθ' ὧν λέγεται τοῦτο, μεῖζον δὲ ἄκρον τὸ πρὸς τῷ μέσῳ κείμενον· ἔλαττον δὲ τὸ πορρωτέρω τοῦ μέσου. τίθεται δὲ τὸ μέσον ἔξω μὲν τῶν ἄκρων, πρῶτον δὲ τῇ θέσει. [27a] τέλειος μὲν οὖν οὐκ ἔσται συλλογισμὸς οὐδαμῶς ἐν τούτῳ τῷ σχήματι, δυνατὸς δ' ἔσται καὶ καθόλου καὶ μὴ καθόλου τῶν ὅρων ὄντων. καθόλου μὲν οὖν ὄντων ἔσται συλλογισμὸς ὅταν τὸ μέσον τῷ μὲν παντὶ τῷ δὲ μηδενὶ ὑπάρχῃ, ἂν πρὸς ὁποτερῳοῦν ᾖ τὸ στερητικόν· ἄλλως δ' οὐδαμῶς. κατηγορείσθω γὰρ τὸ Μ τοῦ μὲν Ν μηδενός, τοῦ δὲ Ξ παντός. ἐπεὶ οὖν ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ παντὶ τῷ Ξ ὑπέκειτο· ὥστε τὸ Ν οὐδενὶ τῷ Ξ· τοῦτο γὰρ δέδεικται πρότερον. πάλιν εἰ τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ μηδενί, οὐδὲ τὸ Ξ τῷ Ν οὐδενὶ ὑπάρξει (εἰ γὰρ τὸ Μ οὐδενὶ τῷ Ξ, οὐδὲ τὸ Ξ οὐδενὶ τῷ Μ· τὸ δέ γε Μ παντὶ τῷ Ν ὑπῆρχεν· τὸ ἄρα Ξ οὐδενὶ τῷ Ν ὑπάρξει· γεγένηται γὰρ πάλιν τὸ πρῶτον σχῆμα)· ἐπεὶ δὲ ἀντιστρέφει τὸ στερητικόν, οὐδὲ τὸ Ν οὐδενὶ τῷ Ξ ὑπάρξει, ὥστ' ἔσται ὁ αὐτὸς συλλογισμός. ἔστι δὲ δεικνύναι ταῦτα καὶ εἰς τὸ ἀδύνατον ἄγοντας. ὅτι μὲν οὖν γίνεται συλλογισμὸς οὕτως ἐχόντων τῶν ὅρων, φανερόν, ἀλλ' οὐ τέλειος· οὐ γὰρ μόνον ἐκ τῶν ἐξ ἀρχῆς ἀλλὰ καὶ ἐξ ἄλλων ἐπιτελεῖται τὸ ἀναγκαῖον. ἐὰν δὲ τὸ Μ παντὸς τοῦ Ν καὶ τοῦ Ξ κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι τοῦ ὑπάρχειν οὐσία —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν οὐσία —ζῷον —ἀριθμός· μέσον οὐσία. οὐδ' ὅταν μήτε τοῦ Ν μήτε τοῦ Ξ μηδενὸς κατηγορῆται τὸ Μ. ὅροι τοῦ ὑπάρχειν γραμμή —ζῷον —ἄνθρωπος, τοῦ μὴ ὑπάρχειν γραμμή — ζῷον —λίθος. φανερὸν οὖν ὅτι ἂν ᾖ συλλογισμὸς καθόλου τῶν ὅρων ὄντων, ἀνάγκη τοὺς ὅρους ἔχειν ὡς ἐν ἀρχῇ εἴπομεν· ἄλλως γὰρ ἐχόντων οὐ γίνεται τὸ ἀναγκαῖον.\n\nἘὰν δὲ πρὸς τὸν ἕτερον ᾖ καθόλου τὸ μέσον, ὅταν μὲν πρὸς τὸν μείζω γένηται καθόλου ἢ κατηγορικῶς ἢ στερητικῶς, πρὸς δὲ τὸν ἐλάττω κατὰ μέρος καὶ ἀντικειμένως τῷ καθόλου (λέγω δὲ τὸ ἀντικειμένως, εἰ μὲν τὸ καθόλου στερητικόν, τὸ ἐν μέρει καταφατικόν· εἰ δὲ κατηγορικὸν τὸ καθόλου, τὸ ἐν μέρει στερητικόν), ἀνάγκη γίνεσθαι συλλογισμὸν στερητικὸν κατὰ μέρος. εἰ γὰρ τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν. ἐπεὶ γὰρ ἀντιστρέφει τὸ στερητικόν, οὐδενὶ τῷ Μ ὑπάρξει τὸ Ν· τὸ δέ γε Μ ὑπέκειτο τινὶ τῷ Ξ ὑπάρχειν· ὥστε τὸ Ν τινὶ τῷ Ξ οὐχ ὑπάρξει· γίνεται γὰρ συλλογισμὸς διὰ τοῦ πρώτου σχήματος. πάλιν εἰ τῷ μὲν Ν παντὶ τὸ Μ, τῷ δὲ Ξ τινὶ μὴ ὑπάρχει, ἀνάγκη τὸ Ν τινὶ τῷ Ξ μὴ ὑπάρχειν· εἰ γὰρ παντὶ ὑπάρχει, κατηγορεῖται δὲ καὶ τὸ Μ παντὸς τοῦ Ν, ἀνάγκη τὸ Μ [27b] παντὶ τῷ Ξ ὑπάρχειν· ὑπέκειτο δὲ τινὶ μὴ ὑπάρχειν. καὶ εἰ τὸ Μ τῷ μὲν Ν παντὶ ὑπάρχει τῷ δὲ Ξ μὴ παντί, ἔσται συλλογισμὸς ὅτι οὐ παντὶ τῷ Ξ τὸ Ν· ἀπόδειξις δ' ἡ αὐτή. ἐὰν δὲ τοῦ μὲν Ξ παντὸς τοῦ δὲ Ν μὴ παντὸς κατηγορῆται, οὐκ ἔσται συλλογισμός. ὅροι ζῷον —οὐσία —κόραξ, ζῷον —λευκόν — κόραξ. οὐδ' ὅταν τοῦ μὲν Ξ μηδενός, τοῦ δὲ Ν τινός. ὅροι τοῦ ὑπάρχειν ζῷον —οὐσία —μονάς, τοῦ μὴ ὑπάρχειν ζῷον —οὐσία — ἐπιστήμη.\n\nὍταν μὲν οὖν ἀντικείμενον ᾖ τὸ καθόλου τῷ κατὰ μέρος, εἴρηται πότ' ἔσται καὶ πότ' οὐκ ἔσται συλλογισμός· ὅταν δὲ ὁμοιοσχήμονες ὦσιν αἱ προτάσεις, οἷον ἀμφότεραι στερητικαὶ ἢ καταφατικαί, οὐδαμῶς ἔσται συλλογισμός. ἔστωσαν γὰρ πρῶτον στερητικαί, καὶ τὸ καθόλου κείσθω πρὸς τὸ μεῖζον ἄκρον, οἷον τὸ Μ τῷ μὲν Ν μηδενὶ τῷ δὲ Ξ τινὶ μὴ ὑπαρχέτω· ἐνδέχεται δὴ καὶ παντὶ καὶ μηδενὶ τῷ Ξ τὸ Ν ὑπάρχειν. ὅροι τοῦ μὲν μὴ ὑπάρχειν μέλαν —χιών —ζῷον· τοῦ δὲ παντὶ ὑπάρχειν οὐκ ἔστι λαβεῖν, εἰ τὸ Μ τῷ Ξ τινὶ μὲν ὑπάρχει τινὶ δὲ μή. εἰ γὰρ παντὶ τῷ Ξ τὸ Ν, τὸ δὲ Μ μηδενὶ τῷ Ν, τὸ Μ οὐδενὶ τῷ Ξ ὑπάρξει· ἀλλ' ὑπέκειτο τινὶ ὑπάρχειν. οὕτω μὲν οὖν οὐκ ἐγχωρεῖ λαβεῖν ὅρους, ἐκ δὲ τοῦ ἀδιορίστου δεικτέον· ἐπεὶ γὰρ ἀληθεύεται τὸ τινὶ μὴ ὑπάρχειν τὸ Μ τῷ Ξ καὶ εἰ μηδενὶ ὑπάρχει, μηδενὶ δὲ ὑπάρχοντος οὐκ ἦν συλλογισμός, φανερὸν ὅτι οὐδὲ νῦν ἔσται. πάλιν ἔστωσαν κατηγορικαί, καὶ τὸ καθόλου κείσθω ὁμοίως, οἷον τὸ Μ τῷ μὲν Ν παντὶ τῷ δὲ Ξ τινὶ ὑπαρχέτω. ἐνδέχεται δὴ τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ μηδενὶ ὑπάρχειν λευκόν — κύκνος —λίθος τοῦ δὲ παντὶ οὐκ ἔσται λαβεῖν διὰ τὴν αὐτὴν αἰτίαν ἥνπερ πρότερον, ἀλλ' ἐκ τοῦ ἀδιορίστου δεικτέον. εἰ δὲ τὸκαθόλου πρὸς τὸ ἔλαττον ἄκρον ἐστί, καὶ τὸ Μ τῷ μὲν Ξ μηδενὶ τῷ δὲ Ν τινὶ μὴ ὑπάρχει, ἐνδέχεται τὸ Ν τῷ Ξ καὶ παντὶ καὶ μηδενὶ ὑπάρχειν. ὅροι τοῦ ὑπάρχειν λευκόν —ζῷον — κόραξ, τοῦ μὴ ὑπάρχειν λευκόν —λίθος —κόραξ. εἰ δὲ κατηγορικαὶ αἱ προτάσεις, ὅροι τοῦ μὴ ὑπάρχειν λευκόν —ζῷον —χιών, τοῦ ὑπάρχειν λευκόν —ζῷον —κύκνος. φανερὸν οὖν, ὅταν ὁμοιοσχήμονες ὦσιν αἱ προτάσεις καὶ ἡ μὲν καθόλου ἡ δ' ἐν μέρει, ὅτι οὐδαμῶς γίνεται συλλογισμός. ἀλλ' οὐδ' εἰ τινὶ ἑκατέρῳ ὑπάρχει ἢ μὴ ὑπάρχει, ἢ τῷ μὲν τῷ δὲ μή, ἢ μηδετέρῳ παντί, ἢ ἀδιορίστως. ὅροι δὲ κοινοὶ πάντων λευκόν —ζῷον —ἄνθρωπος, λευκόν —ζῷον —ἄψυχον. [28a]\n\nΦανερὸν οὖν ἐκ τῶν εἰρημένων ὅτι ἐάν τε οὕτως ἔχωσιν οἱ ὅροι πρὸς ἀλλήλους ὡς ἐλέχθη, γίνεται συλλογισμὸς ἐξ ἀνάγκης, ἄν τ' ᾖ συλλογισμός, ἀνάγκη τοὺς ὅρους οὕτως ἔχειν. δῆλον δὲ καὶ ὅτι πάντες ἀτελεῖς εἰσὶν οἱ ἐν τούτῳ τῷ σχήματι συλλογισμοί (πάντες γὰρ ἐπιτελοῦνται προσλαμβανομένων τινῶν, ἃ ἢ ἐνυπάρχει τοῖς ὅροις ἐξ ἀνάγκης ἢ τίθενται ὡς ὑποθέσεις, οἷον ὅταν διὰ τοῦ ἀδυνάτου δεικνύωμεν), καὶ ὅτι οὐ γίνεται καταφατικὸς συλλογισμὸς διὰ τούτου τοῦ σχήματος, ἀλλὰ πάντες στερητικοί, καὶ οἱ καθόλου καὶ οἱ κατὰ μέρος."}]}],"text":"belongs: **NEITHER** — НЕ УСТАНОВЛЕНО: в формализованном праве нет ни подтверждения, ни опровержения (открытый мир §69) — это не «нет»\nВыведено правом: excluded(O, Животное, Человек); in_whole(Человек, Животное); belongs(A, Животное, Человек); excluded(I, Человек, Лошадь); belongs(E, Лошадь, Человек); excluded(I, Лошадь, Человек); belongs(E, Человек, Лошадь)\nПрименены правила: ContradictioUniversalisAffirmativae, ContradictioUniversalisNegativae, ConversioUniversalisNegativae, InWholeIsPredicationOfAll, PredicationOfAllIsInWhole\nПравило «I.4 26a1 (Celarent): A of no B, B of all C, therefore A of no C» вывело бы это при посылках:\n    · belongs(A, v1, Лошадь) — DEPENDS\n    · belongs(E, Животное, v1) — DEPENDS\nПравило «I.2 25a5: the universal negative converts simply» вывело бы это при посылках:\n    ? belongs(E, Лошадь, Животное) — NEITHER\n(? — факт не подан и не выведен; ✗ — установлено обратное)\nПолные правила с посылками: law_rules({\"predicate\": \"belongs\"})\nПраво (вне юрисдикции государства): «Первая аналитика» Аристотеля, книга I, главы 1—7: ассерторическая силлогистика — доктрина — EXECUTABLE 6 §33.1 (programHash sha256:5cc9aab92a96…)\nproof-граф: 13 узлов — поле evaluation готово для law_explain"}],"language":"ru","question":{"origin":"user","text":"Всякое животное смертно, всякий человек животное: следует ли, что всякий человек смертен? И почему из «некоторые люди не животные» не следует «некоторые животные не люди», а из двух общеутвердительных посылок с нераспределённым средним не следует ничего?"},"schemaVersion":"law.answers.document/0.1"}