By Alexander of Aphrodisias
Within the moment 1/2 booklet 1 of the past Analytics, Aristotle displays at the program of the formalized good judgment he has constructed within the first part, focusing rather at the non-modal or assertoric syllogistic constructed within the first seven chapters. those reflections lead Alexander of Aphrodisias, the good overdue second-century advert exponent of Aristotelianism, to provide an explanation for and infrequently argue opposed to next advancements of Aristotle's common sense and choices and objections to it, rules linked often 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 real premises had to turn out a given proposition.Aristotle's presentation is typically tricky to stick to, and Alexander's dialogue is intensely beneficial to the uninitiated reader. In his statement 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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Extra info for Alexander of Aphrodisias: On Aristotle Prior Analytics 1.23-31 (Ancient Commentators on Aristotle)
41a26-37 For example, t h e proof t h a t t h e diagonal is incommen surable w i t h the side because odds t u r n out to be equal to evens i f i t is posited t h a t the diagonal is commensurable. [For one deduces syllogistically t h a t odds are equal to evens, b u t shows f r o m a hypothesis t h a t the diagonal is incommensurable since a falsehood results because of the contradictory
P l a t o n i c d i v i s i o n I n chapter 30 A r i s t o t l e makes some brief general r e m a r k s about the application of his technique 'both i n philosophy and i n every a r t and study whatsoever'. A n d i n the last chapter translated i n t h i s volume he t u r n s to criticizing Plato's method of division: I t is easy to see t h a t the division of genera is a s m a l l p a r t of the method described, since division is a k i n d of weak syllogism; for i t asks for w h a t should be proved and i t always produces a syllogism for something higher up.
266,3-4. 14. I t is clear from 378,12-28 in the commentary on chapter 41 that the notion of such prosleptic syllogisms is due to Theophrastus. Alexander also uses the term to refer to the Stoic indemonstrables; see 324,16-19 with the note. Introduction 27 15. For discussion of these arguments and bibliographical references see Bobzien (2000). 16. 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.
Alexander of Aphrodisias: On Aristotle Prior Analytics 1.23-31 (Ancient Commentators on Aristotle) by Alexander of Aphrodisias