By Alexander of Aphrodisias
The statement of Alexander of Aphrodisias on Aristotle's past Analytics 1.8-22 is a vital textual content, being the most old remark with chapters during which Aristotle invented modal good judgment - the good judgment of propositions approximately what's important or contingent (possible). the 1st quantity of Ian Mueller's translation coated chapters 1.8-13, and reached so far as the bankruptcy within which Aristotle mentioned the proposal 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 mode of argument concerning premises and a end. Modal propositions might be deployed in syllogisms, and within the chapters incorporated during this quantity Aristotle discusses all of the syllogisms containing not less than one contingent premiss.
In each one quantity, Ian Mueller presents a finished clarification of Alexander's statement on modal common sense as a complete.
Read 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)
This choice is equally problematic on the intuitive de re reading which lies behind Alexander’s acceptance of NEC(Animal i White) and NEC (Animal o White), but it allows him to preserve (iii) and (iv). B. Alexander and the temporal interpretation of modality: preliminary remarks At the beginning of chapter 2 Aristotle announces that ‘every proposition says either that something holds or that it holds by necessity or that it is contingent that it holds’ (25a1- 2). Alexander’s comment on this passage helps to fill out our understanding of his conception of the three modalities: It is necessary to understand the word ‘categorical’ added to the words ‘every proposition’, since he is now talking about such propositions and syllogisms
Or perhaps he was being extremely precise when he said that the conclusion, which he said was of none by necessity, is not contingent, since ‘of none by necessity’ is different from ‘by necessity of none’, as he showed then. Nevertheless, thereafter he also classifies a negative proposition of this kind among contingent negative propositions because it is not directly unqualified. For in the case of a mixture in the second figure of a negative unqualified major and a contingent minor he already said63 that the conclusion is contingent in the way specified.
Aristotle apparently tries to justify this move – which we shall call U-for-C substitution – on the grounds that if CON(BaC), no impossibility should result from the assumption that BaC, or more generally that no impossibility follows from the assumption that a contingency holds, although a falsehood may. The problem is that, even if CON(BaC), an impossibility may result from BaC and other assumptions, in this case AaB and NEC(AoC). We may take AaB as unproblematic because it is given as a premiss.