By Alexander of Aphrodisias
The observation of Alexander of Aphrodisias on Aristotle's previous Analytics 1.8-22 is a crucial textual content, being the most historic statement with chapters within which Aristotle invented modal common sense - the good judgment of propositions approximately what's important or contingent (possible). the 1st quantity of Ian Mueller's translation lined chapters 1.8-13, and reached so far as the bankruptcy within which Aristotle mentioned the thought 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 related to 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 a minimum of one contingent premiss.
In every one quantity, Ian Mueller offers a finished clarification of Alexander's statement on modal good judgment as a complete.
Read Online or Download Alexander of Aphrodisias: On Aristotle Prior Analytics 1.14-22 (Ancient Commentators on Aristotle) PDF
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Additional info for Alexander of Aphrodisias: On Aristotle Prior Analytics 1.14-22 (Ancient Commentators on Aristotle)
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. , NEC(AaB), contradicting NEC(AaB). It is hard to see how Theophrastus could possibly accept Bocardo3( N ,U, N ) and reject Barbara1(NUN), and both are equally violations of the peiorem rule.
Aristotle concludes the chapter (37a38-b18) by giving terms to show that no contingent conclusion with B as predicate and C as subject follows from contingent premisses having those terms as subject and a term A as predicate. 20) Aristotle’s rules commit him to the position that every third-figure CC combination with a universal premiss is syllogistic. He explicitly mentions AA_3 (Darapti3; 39a14-19) and its consequence EE_3 (39a26-8), but not its consequence AE_3; he also mentions EA_3 (Felapton3; 39a19-23).
But (EE-conversionn) NEC(XeY), contradicting CON(XaY) or CON(XiY). 17, 37a9-31) rejects the analogous argument for EE- conversionc: assume CON(YeX); then ( C ) NEC(YiX), so that (II-conversionn) NEC(XiY), contradicting CON(XeY). But Aristotle’s own argument for AI- and II-conversionc is very problematic: Since to be contingent is said in many ways (since we say that the necessary and the non-necessary and the possible are contingent) in the case of contingent propositions, the situation with respect to conversion will be the same in all cases of affirmative propositions.
Alexander of Aphrodisias: On Aristotle Prior Analytics 1.14-22 (Ancient Commentators on Aristotle) by Alexander of Aphrodisias