Cheng, Yong (2022) Exploring the Foundational Significance of Goedel's Incompleteness Theorems. Review of Analytic Philosophy, 2 (1).

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Abstract

Gödelʼs incompleteness theorems, published in 1931, are important and
profound results in the foundations and philosophy of mathematics. On the
basis of new advances in research on incompleteness in the literature, we
discuss the correct interpretations of Gödelʼs incompleteness theorems, their
influence on various fields, and the limit of their applicability. The motivation
of this paper is threefold: to explore the foundational and philosophical
significance of new advances in research on incompleteness since Gödel, to
introduce new advances in research on incompleteness to the general philosophy
community, and to commemorate the 90th anniversary of the publication of
Gödelʼs incompleteness theorems.

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Item Type:	Published Article or Volume
Creators:	Creators Email ORCID Cheng, Yong world-cyr@hotmail.com 0000-0003-2408-3886
Keywords:	The first incompleteness theorem, The second incompleteness theorem, The limit of incompleteness, The intensional problem, Interpretation
Subjects:	Specific Sciences > Mathematics > Foundations
Depositing User:	Dr. YONG CHENG
Date Deposited:	20 Aug 2025 17:09
Last Modified:	20 Aug 2025 17:09
Item ID:	26273
Journal or Publication Title:	Review of Analytic Philosophy
Official URL:	https://doi.org/10.18494/SAM.RAP.2022.0012
DOI or Unique Handle:	10.18494/SAM.RAP.2022.0012
Subjects:	Specific Sciences > Mathematics > Foundations
Date:	7 September 2022
Volume:	2
Number:	1
URI:	https://philsci-archive.pitt.edu/id/eprint/26273

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