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arXiv · 2410.09195

$\omega$-consistency for Different Arrays of Quantifiers

Paulo Guilherme Santos
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Abstract

We study the formalized v statement by allowing the occurrence of different arrays of quantifiers in it. We prove that for some specific arrays of quantifiers we get consistency statements that are S-equivalent to the original $\omega$-consistency statement (S denotes the basis theory to develop metamathematics). We end our paper by creating a theory of truth that proves each $\omega$-consistency-statement.

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BibTeXRIS

Paulo Guilherme Santos. 2024-10-11. $\omega$-consistency for Different Arrays of Quantifiers. https://arxiv.org/abs/2410.09195

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