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A note on the first incompleteness theorem

✍ Scribed by Katsumasa Ishii

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 71 KB
Volume: 49
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.200310021

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Let T be an extension of Robinson's arithmetic Q. Then T is incomplete even if the set of the Gödel numbers of all axioms of T is ∑~2~.

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