By Alexander of Aphrodisias, Ian Mueller
The observation 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 precious or contingent (possible). during this quantity, which covers chapters 1.8-13, Alexander of Aphrodisias reaches the bankruptcy during which Aristotle discusses the thought of contingency. additionally incorporated during this quantity is Alexander's observation on that a part of Prior 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 mode of argument concerning premises and a end. Modal propositions could be deployed in syllogism, and within the chapters integrated during this quantity Aristotle discusses syllogisms along with important propositions in addition to the extra arguable ones containing one valuable 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 accomplished rationalization of Alexander's statement on modal common sense as an entire
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Additional info for Alexander of Aphrodisias: On Aristotle Prior Analytics: 1.8-13
One problem here is the obvious asymmetry between the definitions of contingency for affirmative and negative statements. We can see Alexander’s difficulty by considering the two possible ways of making the definitions symmetrical: (i) XaffY is contingent iff X does not hold of Y now but can hold of Y; XnegY is contingent iff X holds of Y now, but can not hold of Y. (ii) XaffY is contingent iff X can not hold of Y and can hold of Y. XnegY is contingent iff X can hold of Y and can not hold of Y; Of these two alternatives (ii) might seem to be preferable since Aristotle is committed to AE-, EA-, IO- and OI-transformationc.
Although we do not claim to be able to eliminate these difficulties, we hope to give some sense of what Alexander has in mind. 40. See especially 38,23-6. 41. g. at 156,18). Alexander never considers the possibility of a proposition which held at some time in the past but never thereafter, but it does not seem unreasonable for logical purposes to take his references to the future in such contexts to include the past, so that a contingent proposition is understood to be one that holds at some time but not at the present.
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. For let this be assumed and let it be contingent that B holds of no A.
Alexander of Aphrodisias: On Aristotle Prior Analytics: 1.8-13 by Alexander of Aphrodisias, Ian Mueller