On Aristotle's "Prior analytics 1.23-31"
Cornell University Press, Mar 23, 2006 - Mathematics - 184 pages
In the second half of Book One of the Prior Analytics, Aristotle reflects on the application of the formalized logic has developed in the first half, focusing particularly on the non-modal or assertoric syllogistic developed in the first seven chapters. These reflections lead Alexander of Aphrodisias, who was a great exponent of Aristotelianism in the late second century, to explain and sometimes argue against subsequent developments of Aristotle's logic and alternatives and objections to it, ideas associated mainly with his colleague Theophrastus and with the Stoics.
The other main topic of this part of the Prior Analytics is the specification of a method for discovering true premises needed to prove a given proposition. Aristotle's presentation is sometimes difficult to follow, and Alexander's discussion is extremely helpful to the uninitiated reader. In his commentary on the final chapter translated in this volume, Alexander provides an insightful account of Aristotle's criticism of Plato's method of division.
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The Stoics in this Part of the Commentary
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additional assumption Aldine Alexander means ALEXANDER OF APHRODISIAS Alexander's commentary angles animal antece apodosis Aristotle Aristotle's assumed called categorical propositions categorical syllogism chapter choiceworthy clear conse consequent of human contingent contrary conversion definition demonstration diagonal direct syllogism discussion equal everything example follows genera genus gism hold hoti hypothesis immediately connected imply individual inferred kind lemma means method middle term mortal necessary neoteroi omit opposite particular affirmative particular negative posited Posterior Analytics predicated Prior Analytics problem produce a syllogism prokeimenon proof through impossibility proposed conclusion proposition propria proslepsis prosyllogism proved directly quents reductio ad impossibile refuted Ross second figure second premiss shown Stoics substance syllogism comes syllogistic synthetic theorem taken teachable text of Aristotle Theophrastus things third figure three figures three terms totally hypothetical syllogisms translated true universal affirmative universal negative universal premiss virtue is knowledge Wallies prints wish to prove words