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By Alexander of Aphrodisias

The statement of Alexander of Aphrodisias on Aristotle's past Analytics 1.8-22 is an important textual content, being the most historical remark with chapters during which Aristotle invented modal common sense - the good judgment of propositions approximately what's valuable or contingent (possible). the 1st quantity of Ian Mueller's translation lined chapters 1.8-13, and reached so far as the bankruptcy during which Aristotle mentioned the concept of contingency. during this, the second one quantity, the 'greatest' commentator, Alexander, concludes his dialogue of Aristotle's modal common sense.
Aristotle additionally invented the syllogism, a mode of argument concerning premises and a end. Modal propositions will be deployed in syllogisms, and within the chapters incorporated during this quantity Aristotle discusses the entire syllogisms containing no less than one contingent premiss.
In every one quantity, Ian Mueller presents a complete rationalization of Alexander's observation on modal good judgment as an entire.

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Extra info for Alexander of Aphrodisias: On Aristotle Prior Analytics 1.14-22 (Ancient Commentators on Aristotle)

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He mentions two possibilities. The first appears to be illegitimate. In the second Alexander apparently justifies the conclusion  NEC (AiB), essentially making use of the fact that OAI3(CU‘C’) is a waste case of Disamis3(CU‘C’). ‘And this proof,’ he says, ‘was thought 44 Introduction more acceptable. ’ (247,29-30). Presumably Alexander has in mind Aristotle’s use of the non-Theophrastean Barbara1(NUN). For, after correctly denying the possibility of establishing Bocardo3(UC‘C’), he points out that Aristotle’s proof depends on Barbara1(NUN), which is unacceptable to Theophrastus.

But Aristotle’s attempts to justify Barbara1(UC‘C’) and Celarent1(UC N) are not just incongruous; they are fallacious. It will suffice to focus on Barbara1. Before trying to establish its validity, Aristotle’s argues (34a5-24) for something like the following true proposition: If P implies Q and it is possible that P, it is possible that Q. Introduction 39 Alexander’s discussion of this material is somewhat vitiated by a failure to distinguish clearly between the assertion that P implies Q and the conditional ‘If P then Q’, but it includes important material relating to Hellenistic treatments of the conditional and implication.

The same difficulty would arise for any  N + U syllogisms; for if they do not violate the peiorem and have a contingent conclusion they can be transformed into  N + N syllogisms with an unqualified conclusion or N+U syllogisms with a necessary conclusion. a. 14) Aristotle accepts as complete all the CCC analogues of the first-figure 36 Introduction UUU syllogisms plus four waste cases which they generate. At 33a34ff. he rejects all other first-figure CC combinations. He first uses an abstract argument which Alexander explicates at 170,24-171,13, and then gives terms which take for granted the truth of the following propositions: (i) (ii) (iii) CON(Animal i White) CON(Animal o White) CON(White a Human) CON(White a Cloak) CON(White e Human) CON(White e Cloak) NEC(Animal a Human) NEC(Animal e Cloak) Although there are undoubtedly ways of arguing that Aristotle might accept the propositions of (i) without accepting their universal analogues, we are inclined to think that he is rather stuck with (i’) CON(Animal a White) CON(Animal e White) and thus with terms which rule out the combinations he has already accepted.

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