By Alexander of Aphrodisias
Within the moment 1/2 publication 1 of the past Analytics, Aristotle displays at the program of the formalized good judgment he has built within the first part, focusing fairly at the non-modal or assertoric syllogistic built 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 good judgment and possible choices and objections to it, rules linked normally together with his colleague Theophrastus and with the Stoics. the opposite major subject of this a part of the earlier Analytics is the specification of a style for locating precise premises had to end up a given proposition.Aristotle's presentation is usually tough to stick with, and Alexander's dialogue is intensely useful to the uninitiated reader. In his remark at the ultimate bankruptcy translated during this quantity, Alexander presents an insightful account of Aristotle's feedback of Plato's approach to department.
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Additional info for Alexander of Aphrodisias: On Aristotle Prior Analytics 1.23-31 (Ancient Commentators on Aristotle)
G. g. at 291,19) calls t h e m highest or first or most common genera) of w h i c h n o t h i n g is predicated. Aristotle's technique really presupposes t h a t one already knows the w a y i n w h i c h A and E are related to a l l other terms, since he says t h a t i n searching for premisses for A r E one should take the definitions of these terms, t h e i r propria, t h e i r antecedents, t h e i r consequents, and the things w h i c h cannot belong to t h e m . 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.
41al8-20) 7. See section 9 of the Introduction to Mueller (2006). 8. On the translation 'transformation' see the note on 41a37 at 261,29. 1 do not discuss arguments from analogy here; see the note on 390,9 in the commentary on chapter 44. 10. , Kneale and Kneale (1962), 163. Alexander appears to treat an interchange of 'p' and 'q' in 3, 4, and 5 as a matter of indifference. 11. The word tropikon was applied generally to propositions like those serving as first premisses i n these examples, to arguments containing such premisses, and sometimes to the first premiss of an argument, regardless of its form; see Hiilser Text 1041 for references.
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 .