By Mueller, Ian; Aristotle., Aristote.; Gould, Josiah; Alexander, of Aphrodisias
Till the release of this sequence over fifteen years in the past, the 15,000 volumes of the traditional Greek commentators on Aristotle, written generally among two hundred and six hundred advert, constituted the most important corpus of extant Greek philosophical writings now not translated into English or different ecu languages. Over forty volumes have now seemed within the sequence, that is deliberate in a few eighty volumes altogether. within the moment half e-book 1 of the "Prior Analytics", Aristotle displays at the software of the formalized good judgment he has constructed within the first part, focusing relatively at the non-modal or assertoric syllogistic constructed within the first seven chapters. those reflections lead Alexander of Aphrodisias, the nice past due second-century advert exponent of Aristotelianism, to give an explanation for and infrequently argue opposed to next advancements of Aristotle's common sense and choices and objections to it, principles linked regularly together with his colleague Theophrastus and with the Stoics. the opposite major subject of this a part of the "Prior Analytics" is the specification of a mode for locating actual premises had to turn out a given proposition. Aristotle's presentation is typically tough to stick to, and Alexander's dialogue is very important to the uninitiated reader. In his remark at the ultimate bankruptcy translated during this quantity, Alexander offers an insightful account of Aristotle's feedback of Plato's approach to department
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Extra info for Alexander Aphrodisias Analytics: On Aristotle "Prior Analytics 1.23-31"
I n chapter 28, where A r i s t o t l e explains the techniques he concentrates entirely on the last three things. The w o r d for consequent is hepomenon, and a n antecedent of X is hoi X hepetai. I summarize here the m a i n content of chapter 2 8 . A r i s t o t l e is interested i n describing a procedure for finding proofs of conclusions i n w h i c h A is predicated of E. He proposes ( 4 4 a l l - 1 7 ) t h a t one set out for A : 25 2 6 B (the consequents of A, those X such that X belongs to all A) A D (what 'cannot' belong to A, those X such that X belongs to no A (and, therefore, A belongs to no X)), C (the antecedents of A, those X such that A belongs to all X) and for E: F (the consequents of E, those X such that X belongs to all E) E H (what 'cannot' belong to E, those X such that X belongs to no E (and, therefore, E belongs to no X)), G (the antecedents of E, those X such that E belongs to all X) 23 Introduction I n 43b39-44a38 a n d a g a i n i n 44b8-19, A r i s t o t l e associates t h e discov ery of a p r o o f w i t h f i n d i n g a n X c o m m o n to a class for A a n d a class for E: For ' A belongs to a l l E' one looks for an X i n b o t h F a n d C so t h a t the conclusion follows from ' A belongs to a l l X ' a n d ' X belongs to a l l E' by B a r b a r a i .
On the place of such arguments i n Stoic logic see the note i n Hiilser 1526-7. 17. e. reductiones ad impossibile and arguments involving a transformation or quality. 18. I t appears that Alexander is borrowing from the Stoics i n making a distinction between conclusive and syllogistic arguments; see 372,29-373,5 i n the commentary on chapter 40 and my discussion of what the Stoics called unsystematically conclusive arguments later in this section. 19. Alexander says (328,2-6) that Theophrastus considered 'If A, C; if B, not C; therefore, if A, not B' to be third-figure and 'If A, B; i f not A, C; therefore if B, not C to be second, but he declines to explain why.
For even i n the cases i n w h i c h there w o u l d seem to be < a syllogism w i t h t w o negative premisses> as w i t h contingent premisses, f i r s t of all, contingent negatives are not simple negations, a n d f u r t h e r m o r e , a syllogism results, w h e n one or b o t h
Alexander Aphrodisias Analytics: On Aristotle "Prior Analytics 1.23-31" by Mueller, Ian; Aristotle., Aristote.; Gould, Josiah; Alexander, of Aphrodisias