## Abstract Let __T__ be an extension of Robinson's arithmetic Q. Then __T__ is incomplete even if the set of the GΓΆdel numbers of all axioms of __T__ is β~2~.
A Note on Boolos' Proof of the Incompleteness Theorem
β Scribed by Makoto Kikuchi
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 265 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We give a proof of GΓΆdel's first incompleteness theorem based on Berry's paradox, and from it we also derive the second incompleteness theorem modelβtheoretically.
Mathematics Subject Classification: 03F30.
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