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Implications of Tarski's undefinability theorem on the Theory of Everything

2024/09/27 by Mir Faizal, Arshid Shabir, Aatif Kaisar Khan · 1 voice
Mathematics · Medicine · Physics and Astronomy · #Calculus (dental) #Epistemology #Mathematical and Theoretical Analysis #Mathematical economics #Mathematics #Medicine #Noncommutative and Quantum Gravity Theories #Philosophy #Quantum Mechanics and Applications #Theory of everything (philosophy) #hep-th #physics.hist-ph

paper · pdf · doi:10.1209/0295-5075/ad80c2

openalex publication_date 2024/09/27 · arxiv published 2024/10/13 · arxiv updated 2024/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Abstract The Theory of Everything seeks to unify all fundamental forces of nature, including quantum gravity, into a single theoretical framework. This theory would be defined internally using a set of axioms, and this paper proposes a set of axioms for any such theory. Furthermore, for such a theory, all scientific truth would be defined internally as consequences derivable from the rules of such a theory. This paper then examines the implications of Tarski's undefinability theorem on scientific truths derived from such axioms. We demonstrate that Tarski's theorem imposes limitations on any such formal system . However, we also argue that the Lucas-Penrose argument suggests that non-algorithmic understanding can transcend these formal limitations.

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