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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Forcing and models of arithmetic
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by S. G. Simpson
Proc. Amer. Math. Soc. 43 (1974), 193-194
DOI: https://doi.org/10.1090/S0002-9939-1974-0434801-5
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Abstract:

It is shown that every countable model of Peano arithmetic with finitely many extra predicates (or of ZFC with finitely many extra predicates) is a reduct of a pointwise definable such model.
References
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 193-194
  • MSC: Primary 02H05; Secondary 02H13
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0434801-5
  • MathSciNet review: 0434801