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arXiv · 0902.1064

The significance of Nathanson's 'boss' factor in legitimising Aristotle's particularisation: Why we need to revise current interpretations of Cantor's, Goedel's, Turing's and Tarski's formal reasoning

Bhupinder Singh Anand
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Abstract

I show--contrary to common beliefs tolerated by the 'bosses'--that any interpretation of ZF that admits Aristotle's particularisation is not sound; that the standard interpretation of PA is not sound; that PA is consistent but omega-inconsistent; that a sound finitary interpretation of PA is definable in terms of Turing-computability; and that PA cannot be consistently extended to ZF.

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Bhupinder Singh Anand. 2009-02-10. The significance of Nathanson's 'boss' factor in legitimising Aristotle's particularisation: Why we need to revise current interpretations of Cantor's, Goedel's, Turing's and Tarski's formal reasoning. https://arxiv.org/abs/0902.1064

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