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

By Alexander of Aphrodisias

The remark of Alexander of Aphrodisias on Aristotle's past Analytics 1.8-22 is the most historical observation, through the 'greatest' commentator, at the chapters of the earlier Analytics within which Aristotle invented modal good judgment - the common sense of propositions approximately what's helpful or contingent (possible). during this quantity, which covers chapters 1.8-13, Alexander of Aphrodisias reaches the bankruptcy within which Aristotle discusses the suggestion of contingency. additionally incorporated during this quantity is Alexander's observation on that a part of previous 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 might be deployed in syllogism, and within the chapters integrated during this quantity Aristotle discusses syllogisms which includes worthy propositions in addition to the extra arguable ones containing one helpful and one non-modal premiss. The dialogue of syllogisms containing contingent propositions is reserved for quantity 2.
In every one quantity, Ian Mueller offers a entire rationalization of Alexander's observation on modal common sense as an entire.

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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)

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37,17-21; cf. 149,5-7) Clearly (vi) and (ix) presuppose Nt, but Alexander’s vocabulary shows the same wavering between (C*) and (Ct) to which we have already called attention. There is a perhaps more serious problem raised by (i). 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.

Swans are not human by necessity) and nothing necessary is contingent. We turn now to perhaps the most difficult part of Aristotle’s rejection Introduction 33 of EE-conversionc, his rejection of the following indirect argument for it: Suppose CON(AeB) and  CON(BeA). , NEC(BiA). But then (II-conversionn) NEC(AiB), contradicting CON(AeB). Aristotle rejects the transition from  CON(BeA) to NEC  (BeA) or, equivalently, NEC(BiA). Underlying his rejection is the idea that, even if  NEC(BiA), one might have  CON(BeA) because NEC(BoA).

We can construe Alexander’s account of the modalities as follows: XaffY is necessary iff X holds of Y always; XaffY is unqualified iff X holds of Y now but not always; XaffY is contingent iff X does not hold of Y now but can hold of Y. XnegY is necessary iff X never holds of Y; XnegY is unqualified iff X does not hold of Y now (but does hold at some time); XnegY is contingent iff X can hold of Y and can not hold of Y. One problem here is the obvious asymmetry between the definitions of contingency for affirmative and negative statements.

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