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A note on the first incompleteness theorem
Author(s) -
Ishii Katsumasa
Publication year - 2003
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200310021
Subject(s) - mathematics , axiom , extension (predicate logic) , gödel's incompleteness theorems , set (abstract data type) , discrete mathematics , calculus (dental) , combinatorics , gödel , epistemology , philosophy , computer science , geometry , programming language , medicine , dentistry
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 .