Theorems of Tarski's Undefinability and Godel's Second Incompleteness-Computationally

Saeed Salehi

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arXiv · 1509.00164

Theorems of Tarski's Undefinability and Godel's Second Incompleteness-Computationally

Saeed Salehi

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Abstract

We present a version of Gödel's Second Incompleteness Theorem for recursively enumerable consistent extensions of a fixed axiomatizable theory, by incorporating some bi-theoretic version of the derivability conditions. We also argue that Tarski's theorem on the Undefinability of Truth is Gödel's First Incompleteness Theorem relativized to definable oracles; a unification of these two theorems is given.

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BibTeX RIS

Saeed Salehi. 2019-11-10. Theorems of Tarski's Undefinability and Godel's Second Incompleteness-Computationally. https://arxiv.org/abs/1509.00164

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