By Alexander of Aphrodisias, Ian Mueller
The statement of Alexander of Aphrodisias on Aristotle's Prior Analytics 1.8-22 is the most historic observation, by means of the 'greatest' commentator, at the chapters of the Prior Analytics during which Aristotle invented modal common sense - the good judgment of propositions approximately what's invaluable or contingent (possible). during this quantity, which covers chapters 1.8-13, Alexander of Aphrodisias reaches the bankruptcy during which Aristotle discusses the proposal of contingency. additionally incorporated during this quantity is Alexander's remark on that a part of Prior Analytics 1.17 and is the reason the conversion of contingent propositions (the remainder of 1.17 is integrated within the moment quantity of Mueller's translation).
Aristotle additionally invented the syllogism, a method of argument concerning premises and a end. Modal propositions may be deployed in syllogism, and within the chapters integrated during this quantity Aristotle discusses syllogisms inclusive of invaluable propositions in addition to the extra arguable ones containing one useful 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 finished clarification of Alexander's remark on modal good judgment as a complete
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Additional resources for Alexander of Aphrodisias: On Aristotle Prior Analytics: 1.8-13
5. We will also frequently write out the propositions involved in a combination or syllogism. The order in which we list the syllogisms correponds to the way Alexander orders them. , the third syllogism in the first figure, meaning Darii1. See, for example 120,25-7. 6. For discussion see Patzig (1968), pp. 43-87. 7. , p. 87. 8. On this understanding of BiC see the notes on 49,22 (p. 111) and 32,20 (p. 88) of Barnes et al. 9. , pp. 26-7. We have followed them in rendering antikeimenon ‘opposite’ and enantios ‘contrary’, saving antiphasis and antiphatikos for ‘contradictory’.
At 32a29-35 Aristotle announces rules of transformation for contingent propositions: It results that all contingent propositions convert with one another. , that ‘It is contingent that X holds’ converts with ‘It is contingent that X does not hold’, and ‘It is contingent that A holds of all B’ converts with ‘It is contingent that A holds of no B’ and with ‘It is contingent that A does not hold of all B’, and ‘It is contingent that A holds of some B’ converts with ‘It is contingent that A does not hold of some B’, and the same way in the other cases.
Rather a universal negative proposition does not convert, and the particular does convert. This will be evident when we discuss contingency. (25b14-19)49 Aristotle’s actual argument for rejecting EE-conversionc is confusing for a number of reasons, one of which is his tacit reliance on the equivalence of CON(XaY) and CON(XeY). He begins the rejection, which is what we have called an incompatibility rejection argument, as follows: It should first be shown that a privative contingent proposition does not convert; that is, if it is contingent that A holds of no B, it is not necessary that it is also contingent that B holds of no A.
Alexander of Aphrodisias: On Aristotle Prior Analytics: 1.8-13 by Alexander of Aphrodisias, Ian Mueller