On Aristotle Prior Analytics 1.14-22Duckworth, 1999 - 270 pagine The commentary of Alexander of Aphrodisias on Aristotle's Prior Analytics 1.8-22 is a very important text, being the main ancient commentary with chapters in which Aristotle invented modal logic - the logic of propositions about what is necessary or contingent (possible). The first volume of Ian Mueller's translation covered chapters 1.8-13, and reached as far as the chapter in which Aristotle discussed the notion of contingency. In this, the second volume, the 'greatest' commentator, Alexander, concludes his discussion of Aristotle's modal logic. Aristotle also invented the syllogism, a style of argument involving two premises and a conclusion. Modal propositions can be deployed in syllogisms, and in the chapters included in this volume Aristotle discusses all the syllogisms containing at least one contingent premiss. In each volume, Ian Mueller provides a comprehensive explanation of Alexander's commentary on modal logic as a whole. |
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Modal syllogistic without contingency | 9 |
Modal syllogistic with contingent propositions | 19 |
Theophrastus and modal logic | 52 |
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affirmative necessary affirmative premiss Alexander points Alexander says Alexander's animal holds antecedent argument Aristotle says Aristotle's assertoric assumed Bocardo Celarent chapter Chrysippus CON(AEB CON(BaC CON(White contingent affirmative contingent negative contingent premiss contingent proposition contingent universal conversion laws Dion has died discussion EE-conversion equivalent Eudemus ex anankês false Ferio first-figure gisms holds by necessity human holds huparkhein hypothesized imply impossible follows inferred lemma major premiss minor modal modal logic NEC(AaB NEC(AIC NEC(BaC NEC(BIA necessary negative necessary premiss necessary proposition negation negative contingent negative necessary negative premiss negative proposition negative unqualified non-syllogistic opposite particular affirmative particular negative possible predicated premiss is converted premiss is taken Prior Analytics proof reductio ad impossibile Ross second figure specified syllogism syllogistic takes text of Aristotle Theophrastus things third figure true universal negative universal premiss universal propositions unqualified premiss unqualified proposition Wallies white holds