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arXiv · 2311.17931

Model Theory of Ultrafinitism II: Deconstructing the Term Model (First Draft)

Mirco A. Mannucci
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Abstract

This paper presents a novel possible worlds semantics, designed to elucidate the underpinnings of ultrafinitism. By constructing a careful modification of the well-known Kripke models for inuitionistic logic, we seek to extend our comprehension of the ultra-finite mindset. As it turns out, the passage from standard constructivist mathematics to the ultrafinite is in a sense an operation of deconstruction of familiar mathematical entities, most notably clear when it comes to N.

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BibTeXRIS

Mirco A. Mannucci. 2023-11-26. Model Theory of Ultrafinitism II: Deconstructing the Term Model (First Draft). https://arxiv.org/abs/2311.17931

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