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New foundations for mathematical theories

Published online by Cambridge University Press:  24 March 2017

By
Jaakko Hintikka
Edited by
Juha Oikkonen  and
Jouko Väänänen
Jaakko Hintikka
Affiliation:
Boston University
Juha Oikkonen
Affiliation:
University of Helsinki
Jouko Väänänen
Affiliation:
University of Helsinki
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Chapter
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Logic Colloquium '90 , pp. 122 - 144
Publisher: Cambridge University Press
Print publication year: 2017

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References

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Hintikka, Jaakko, Is there Completeness in Mathematics after Gödel? Philosophical Topics , vol. 17, no. 2 (1989) pp. 69–90.Google Scholar
Kaye, Richard, Models of Peano Arithmetic , Clarendon Press, Oxford, 1991.
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Rogers, Hartley Jr., Theory of Recursive Functions and Effective Computability, McGraw-Hill, New York, 1967.
Scott, Dana, On Constructing Models for Arithmetic, in Infinitistic Methods , Pergamon Press, Oxford, 1959, pp. 235–255.
Tennenbaum, S., Non-archimedean Models for Arithmetic , Notices of the American Mathematical Society , vol. 6 (1959), p. 270.Google Scholar
Ulam, Stanislaw, John von Neumann, 1903–1957 , Bulletin of the American Mathematical Society , vol. 64 (1958, May Supplement), pp. 1–49.Google Scholar

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