Cheng, Yong (2022) On the Depth of Goedel's Incompleteness Theorems. Philosophia Mathematica, 30 (Issue). pp. 173-199.

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Abstract

We use Goedel's incompleteness theorems as a case study for investigating mathematical
depth. We examine the philosophical question of what the depth of Goedel’s incompleteness theorems consists in. We focus on the methodological
study of the depth of Goedel’s incompleteness theorems, and propose three
criteria to account for the depth of the incompleteness theorems: influence,
fruitfulness, and unity. Finally, we give some explanations for our account of
the depth of Goedel’s 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:	Goedel’s incompleteness theorems,Mathematical depth
Subjects:	Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > Logic
Depositing User:	Dr. YONG CHENG
Date Deposited:	20 Aug 2025 17:08
Last Modified:	20 Aug 2025 17:08
Item ID:	26271
Journal or Publication Title:	Philosophia Mathematica
DOI or Unique Handle:	10.1093/philmat/nkab034
Subjects:	Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > Logic
Date:	7 August 2022
Page Range:	pp. 173-199
Volume:	30
Number:	Issue
URI:	https://philsci-archive.pitt.edu/id/eprint/26271

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