Alexander of Aphrodisias: On Aristotle Prior Analytics by Alexander of Aphrodisias

By Alexander of Aphrodisias

Within the moment 1/2 ebook 1 of the previous Analytics, Aristotle displays at the program of the formalized common sense he has constructed within the first part, focusing really at the non-modal or assertoric syllogistic constructed within the first seven chapters. those reflections lead Alexander of Aphrodisias, the good 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 possible choices and objections to it, principles linked mostly together with his colleague Theophrastus and with the Stoics. the opposite major subject of this a part of the past Analytics is the specification of a mode for locating actual premises had to end up a given proposition.Aristotle's presentation is typically tricky to keep on with, and Alexander's dialogue is intensely valuable 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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For since s o m e t h i n g impossible was shown to follow t h r o u g h a syllogism w h e n the opposite of t h i s is hypothesized, t h i s was posited because t h e hypothesis was done away w i t h a n d i t is necessary t h a t one or the other be t r u e . T h i s is w h a t is m e a n t b y 'because of t h e contradictory '. B u t i f i n the case of reductio ad impossibile t h e syllogism y i e l d i n g t h e falsehood is direct, t h a t is, categorical, a n d reaches i t s conclusion t h r o u g h one of the three figures, t h e n syllogisms t h r o u g h i m p o s s i b i l i t y , w h i c h are a p a r t of syllogisms from a hypothesis, w i l l also be i n t h e three figures.

22. I t is at this point that Aristotle switches to using letters to stand for propositions as well as terms (and for items i n geometric proofs). 23. Aristotle also mentions the case where A or B is justified inductively, but says nothing specifically about that case. 24. On the themata see Frede (1974), 172-96. 1 do not discuss most of 44a38-b24, which is of less significance. 26. Here I use the schematic arrangement described by Alexander starting at 301,17. Aristotle first introduces the letters at 44al2 (304,31).

46b28-37; cf. 338,29-339,28) The r e m a i n i n g criticisms relate to the fact t h a t division is supposed to provide the basis for p r o v i n g definitions: (v) I f t h i s is t r u e t h e n the method cannot provide proofs for accidents, propria, and genera, the other three provables of the Topics. (46b27-8; cf. 338,11-19) (vi) D i v i s i o n cannot show t h a t a conclusion is necessary, as a definition ought to be. ) (vii) I n the Posterior Analytics i t is shown t h a t one cannot prove a definition.

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