Putnam on Mathematics as Modal Logic

In John Burgess (ed.), Hilary Putnam on Logic and Mathematics. Cham: Springer Verlag (2018)
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Abstract

Two uses of modal logic to explicate mathematics—due primarily to Hilary Putnam and Charles Parsons—are compared and contrasted. The approaches differ both technically and concerning ontology. Some reasons to push the former approach in the direction of the latter are articulated and discussed.

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original Linnebo, Ø (2018) "Putnam on Mathematics as Modal Logic". In Burgess, John, Hilary Putnam on Logic and Mathematics, pp. : Springer Verlag (2018)

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A Taxonomy for Set-Theoretic Potentialism.Davide Sutto - 2024 - Philosophia Mathematica:1-28.

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Modal Structuralism and Reflection.Sam Roberts - 2019 - Review of Symbolic Logic 12 (4):823-860.

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