By Alexander of Aphrodisias
The statement of Alexander of Aphrodisias on Aristotle's previous Analytics 1.8-22 is the most historic statement, via the 'greatest' commentator, at the chapters of the earlier Analytics during which Aristotle invented modal common sense - the common sense of propositions approximately what's invaluable or contingent (possible). during this quantity, which covers chapters 1.8-13, Alexander of Aphrodisias reaches the bankruptcy within which Aristotle discusses the inspiration of contingency. additionally integrated during this quantity is Alexander's remark on that a part of past Analytics 1.17 and is the reason the conversion of contingent propositions (the remainder of 1.17 is incorporated within the moment quantity of Mueller's translation).
Aristotle additionally invented the syllogism, a method of argument related to premises and a end. Modal propositions may be deployed in syllogism, and within the chapters integrated during this quantity Aristotle discusses syllogisms including precious propositions in addition to the extra debatable ones containing one valuable and one non-modal premiss. The dialogue of syllogisms containing contingent propositions is reserved for quantity 2.
In each one quantity, Ian Mueller offers a entire rationalization of Alexander's remark on modal good judgment as a complete.
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Additional info for Alexander of Aphrodisias: On Aristotle Prior Analytics: 1.8-13 (with 1.17, 36b35-37a31) (Ancient Commentators on Aristotle)
Alexander offers no justification for how Aristotle can take this for granted when he himself holds that CON(XiY) does not follow from NEC(XeY), since NEC(XeY) is compatible with NEC(XaY), which is Introduction 27 incompatible with CON(XiY). Perhaps when Alexander says that Aristotle takes (i) to be something agreed, he means that Aristotle is taking (i) as an endoxon, albeit one which he does not accept. Alexander’s discussion of AI- and II-conversionn, to which we now turn, throws some further light on his treatment of EE-conversionn.
In representations of reductio proofs, he uses antikeimenon to refer to the contradictory of a proposition. The reader is well advised to learn the equivalences expressed by a and b, since both Alexander and Aristotle by and large take them for granted. 10. We remark here that in the introduction and summary we pay virtually no attention to Aristotle’s uniform rejection of combinations which do not include a universal premiss. 11. Generally speaking it is not feasible to show that a combination is syllogistic by showing directly that it admits no counterinterpretation because it is not feasible to survey all possible interpretations.
CON(AaB) implies CON(AoB). But Notes to pp. , AoB and (AoB). Alexander attempts unsuccessfully to wriggle out of these difficulties at 161,3-26; see also 222,16-35. 36. We note that this means that, at least within the context of syllogistic, neither of them is committed to two-sided contingency, if that means the equivalence of CON(P) and CON( P) for any proposition P. 37. See 159,22-4. 38. Here and elsewhere Aristotle speaks of conversion. Modern scholars sometimes speak of complementary conversion.
Alexander of Aphrodisias: On Aristotle Prior Analytics: 1.8-13 (with 1.17, 36b35-37a31) (Ancient Commentators on Aristotle) by Alexander of Aphrodisias