By Alexander of Aphrodisias
The observation of Alexander of Aphrodisias on Aristotle's earlier Analytics 1.8-22 is a vital textual content, being the most historic observation 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 coated chapters 1.8-13, and reached so far as the bankruptcy during which Aristotle mentioned the suggestion of contingency. during this, the second one quantity, the 'greatest' commentator, Alexander, concludes his dialogue of Aristotle's modal good judgment.
Aristotle additionally invented the syllogism, a method of argument related to premises and a end. Modal propositions might be deployed in syllogisms, and within the chapters incorporated during this quantity Aristotle discusses the entire syllogisms containing at the least one contingent premiss.
In every one quantity, Ian Mueller presents a accomplished rationalization of Alexander's statement on modal common sense as an entire.
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Extra info for Alexander of Aphrodisias: On Aristotle Prior Analytics 1.14-22 (Ancient Commentators on Aristotle)
As holding or not holding of the subject; and if X holds of Y, it either holds always or holds at some time and doesn’t hold at another. If what is said to hold holds always and is taken to hold always, the proposition saying this is necessary true affirmative; but a necessary 24 Introduction negative true proposition is one which takes what by nature never holds of something as never holding of it. But if X does not always hold of Y, if it holds at the present moment, the proposition which indicates this is an unqualified true affirmative; and similarly a proposition which says that what does not now hold does not now hold is an unqualified true negative.
232,32-6; cf. 130,23-4) If Alexander adhered to a strict temporal interpretation of contingency what he says here would implicitly commit him to the identification of unqualified truths with propositions true at some time, that is, with contingent propositions. He, of course, never makes this identification. If he had, he might have seen problems which face any interpreter trying to understand why Aristotle accepts certain U+C combinations while rejecting their CC analogues. There are many reasons why Alexander never offers a strict temporal interpretation.
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). That is, although it is true that: (NCe) NEC(BiA) v NEC(BoA) CON(BeA) it is not true that: * CON(BeA) NEC(BiA) since one might have NEC(BoA) and NEC(BiA). For this discussion it is also useful to have the analogue of (NCe) for a-propositions: (NCa) NEC(BiA) v NEC(BoA) CON(BaA) What does not emerge clearly from Aristotle’s text is whether or not he accepts the converses of (NCe) and (NCa), that is ( CeN) CON(BeA) NEC(BiA) v NEC(BoA) ( CaN) CON(BaA) NEC(BiA) v NEC(BoA) We discuss Alexander’s view of these two propositions in Appendix 5 on weak two-sided Theophrastean contingency.
Alexander of Aphrodisias: On Aristotle Prior Analytics 1.14-22 (Ancient Commentators on Aristotle) by Alexander of Aphrodisias