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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