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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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The structure of Dedekind cardinals
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by Erik Ellentuck PDF
Trans. Amer. Math. Soc. 180 (1973), 109-125 Request permission

Abstract:

Semantic criteria are given for provability in set theory without the axiom of choice of positive sentences about the Dedekind cardinals. These criteria suggest that Dedekind cardinals (as well as general cardinals) have an internal structure.
References
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 180 (1973), 109-125
  • MSC: Primary 02K35
  • DOI: https://doi.org/10.1090/S0002-9947-1973-0325396-9
  • MathSciNet review: 0325396