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Putnam on Foundations: Models, Modals, Muddles

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Hilary Putnam on Logic and Mathematics

Part of the book series: Outstanding Contributions to Logic ((OCTR,volume 9))

Abstract

Putnam has famously offered a sketch of a mathematics without foundations, existing in two equivalent descriptions, set-theoretic and modal-logical. Here his proposal is critically examined, with attention to difficulties surrounding both the modal-logical description itself and especially the notion of equivalence of descriptions.

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References

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Author information

Authors and Affiliations

  1. Department of Philosophy, Princeton University, Princeton, 08544-1006, NJ, USA

    John P. Burgess

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  1. John P. Burgess
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Correspondence to John P. Burgess .

Editor information

Editors and Affiliations

  1. Department of Philosophy, University of Minnesota Twin Cities, Minneapolis, MN, USA

    Geoffrey Hellman

  2. Department of Philosophy, University of Minnesota Twin Cities, Minneapolis, MN, USA

    Roy T. Cook

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Burgess, J.P. (2018). Putnam on Foundations: Models, Modals, Muddles. In: Hellman, G., Cook, R. (eds) Hilary Putnam on Logic and Mathematics. Outstanding Contributions to Logic, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-319-96274-0_9

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