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 way of the 'greatest' commentator, at the chapters of the Prior Analytics within which Aristotle invented modal common sense - the common sense of propositions approximately what's valuable or contingent (possible). during this quantity, which covers chapters 1.8-13, Alexander of Aphrodisias reaches the bankruptcy within which Aristotle discusses the proposal of contingency. additionally integrated during this quantity is Alexander's statement 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 regarding premises and a end. Modal propositions will be deployed in syllogism, and within the chapters incorporated during this quantity Aristotle discusses syllogisms inclusive of precious propositions in addition to the extra arguable ones containing one beneficial and one non-modal premiss. The dialogue of syllogisms containing contingent propositions is reserved for quantity 2.
In each one quantity, Ian Mueller presents a entire rationalization of Alexander's remark on modal common sense as an entire
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Additional info for Alexander of Aphrodisias: On Aristotle Prior Analytics: 1.8-13
2. The controversy concerning these four syllogisms transfers to any N+U combination held by Aristotle to have a necessary conclusion. 3. These cases are very problematic, especially Barbara and Celarent; their problematic nature transmits itself to combinations reduced to them. 4. The difficulties attaching to Barbara1(UC‘C’) transfer to Barbara1(NC‘C’). New difficulties arise with Celarent1(NCCu). 5. Alexander wavers between thinking Aristotle espouses Bocardo3(CN‘C’) and OAI3(CN‘C’), the waste case of Disamis3(CN‘C’).
For if it is contingent that A holds of all or of some B, then it will be contingent that B holds of some A. For if of none, then A of no B; this has been proved earlier. (25a37-b3) Alexander takes for granted that Aristotle’s argument must turn on the three ways in which contingency is said, and that it will proceed indirectly by moving from: (i) ‘It is not contingent that B holds of some A’ to: (ii) a universal negative statement in which B is the predicate and A is the subject, and then to: (iii) a universal negative statement in which A is the predicate and B is the subject, which contradicts: (iv) ‘It is contingent that A holds of some B’.
And also – except in the UC and NC cases – complete. The situation changes somewhat when contingent premisses are introduced because the conversion rules allow for the justification of syllogisms with no analogue among combinations not containing a contingent premiss. 15. 16, 36 Notes to pp. 13-20 35b37-36a2 that the fact that Barbara1(NC_) also yields such a conclusion ‘will be proved in the same way as in the preceding cases’. 16. , 174,13-19. 17. We here begin a practice of writing ‘C’ or ‘CON’ where there is some unclarity about the specific character of an allegedly contingent propostion.