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The Mother of All Conflations: Parmenides' Proof

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Extensionalism
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In this study three general claims are made. (1) Aristotle’s logic conflates methodology and epistemology. (2) Aristotle’s conflation of methodology and epistemology has had a tremendous influence upon the development of logic. (3) George Boole’s extensionalism has undone the Aristotelian conflation. It, thus, cleared the road for modern logic, for the study of logic as a methodology-in-the-weak-sense.

We should begin by a brief inspection of the background to Aristotle’s conflation of methodology and epistemology: the pre-history of logic. For the conflation clearly prevails in the most rudimentary conceptions of logical proof that we know of. It is appropriate to begin, then, with a few notes on Parmenides poem, for Parmenides has been called ‘the father of logical proof’ and even ‘the father of logical indirect proof.

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(2008). The Mother of All Conflations: Parmenides' Proof. In: Extensionalism. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8168-2_2

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