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Gödel’s Incompleteness Theorems: An Interdisciplinary Review


Affiliations
1 Indian Institute of Science, Education and Research, Kolkata, Mohanpur, Nadia- 741 246, West Bengal, India
     

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In the following article, authors offer a modern proof of Gödel’s incompleteness theorems. Authors then briefly recount what its immediate reception in the scientific community was like, and finally appraise the ultimate impact it has had, and issues it has raised, in a wide variety of fields - ranging from mathematics to philosophy of mind.

Keywords

Incompleteness, Consistency, Philosophy of Mathematics, Turing Machine, Anti-Mechanism.
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  • Gödel’s Incompleteness Theorems: An Interdisciplinary Review

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Authors

Aditya Dwarkesh
Indian Institute of Science, Education and Research, Kolkata, Mohanpur, Nadia- 741 246, West Bengal, India
Satbhav Voleti
Indian Institute of Science, Education and Research, Kolkata, Mohanpur, Nadia- 741 246, West Bengal, India
Satbhav Voleti
Indian Institute of Science, Education and Research, Kolkata, Mohanpur, Nadia- 741 246, West Bengal, India

Abstract


In the following article, authors offer a modern proof of Gödel’s incompleteness theorems. Authors then briefly recount what its immediate reception in the scientific community was like, and finally appraise the ultimate impact it has had, and issues it has raised, in a wide variety of fields - ranging from mathematics to philosophy of mind.

Keywords


Incompleteness, Consistency, Philosophy of Mathematics, Turing Machine, Anti-Mechanism.

References





DOI: https://doi.org/10.24906/isc%2F2021%2Fv35%2Fi4%2F210002