MoL-2013-21: The infinite in Aristotle's logical epistemology

MoL-2013-21: Crager, Adam (2013) The infinite in Aristotle's logical epistemology. [Report]

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Abstract

Posterior Analytics I.19-22 work to connect two issues in Aristotelian syllogistic that are not obviously connected: the (in)finitude of predicational chains and the (in)finitude of demonstrative processes. Chapters I.20-21 establish that in Aristotle's system, the demonstration of a syllogistic proposition \phi can continue ad infinitum only if there is an infinite predicational chain. And I.22 argues that reality in fact contains no such chains. It is the author's view that modern studies of Posterior Analytics I.19-22 have severely mistaken both the character of the problem Aristotle is confronting in these chapters, as well as his means of handling of the problem. Among other things, the author hopes that this presentation helps to restore the ancient view that the Aristotle of Posterior Analytics I.19-22 was a logician of remarkable skill and insight.

Item Type: Report
Report Nr: MoL-2013-21
Series Name: Master of Logic Thesis (MoL) Series
Year: 2013
Uncontrolled Keywords: Logic; Mathematics
Date Deposited: 12 Oct 2016 14:38
Last Modified: 12 Oct 2016 14:38
URI: https://eprints.illc.uva.nl/id/eprint/910

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