Feb 15, 2019 · Abstract:In this paper, we examine the limit of applicability of Gödel's first incompleteness theorem (\sf G1 for short).
Apr 17, 2021 · In this paper, we examine the limit of applicability of Gödel's first incompleteness theorem. We first define the notion “$\textsf {G1}$ holds ...
In this paper, we show that there are many such theories based on Jeřábek's work using some model theory. We prove that for each recursively inseparable pair ...
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Apr 16, 2021 · In this paper, we show that there are many such theories based on Jeřábek's work using some model theory. We prove that for each recursively ...
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A theory T 𝑇 T is essentially incomplete if any recursively axiomatizable consistent extension of T 𝑇 T in the same language is incomplete. The theory of ...
Abstract. This is a survey of results related to the Gödel incompleteness theorems and the limits of their applicability. The first part of the paper.
Duration: 58:54
Posted: Apr 16, 2023
Posted: Apr 16, 2023
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ABSTRACT We use Gödel's incompleteness theorems as a case study for investigating mathematical depth. We examine the philosophical question of what the ...
48, 2018 (AHCI), Link. Finding the limit of incompleteness I. Yong Cheng. Bulletin of Symbolic Logic, Volume 26, Issue 3-4 , December 2020 , pp. 268-286 (SCI)