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arXiv · 0812.4814

Nominalistic Logic (Extended Abstract)

Jørgen Villadsen
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Abstract

Nominalistic Logic (NL) is a new presentation of Paul Gilmore's Intensional Type Theory (ITT) as a sequent calculus together with a succinct nominalization axiom (N) that permits names of predicates as individuals in certain cases. The logic has a flexible comprehension axiom, but no extensionality axiom and no infinity axiom, although axiom N is the key to the derivation of Peano's postulates for the natural numbers.

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Jørgen Villadsen. 2008-12-28. Nominalistic Logic (Extended Abstract). https://arxiv.org/abs/0812.4814

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