Physical Possibility and Determinate Number Theory

Philosophia Mathematica:nkab013 (forthcoming)
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Abstract

ABSTRACT It is currently fashionable to take Putnamian model-theoretic worries seriously for mathematics, but not for discussions of ordinary physical objects and the sciences. However, I will argue that merely securing determinate reference to physical possibility suffices to rule out the kind of nonstandard interpretations of our number talk Putnam invokes. So, anyone who accepts determinate reference to physical possibility should not reject determinate reference to the natural numbers on Putnamian model-theoretic grounds.

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Sharon Berry
Indiana University, Bloomington

References found in this work

Realism and Reason.Hilary Putnam - 1983 - Cambridge University Press.
New Work For a Theory of Universals.David Lewis - 1983 - In D. H. Mellor & Alex Oliver (eds.), Properties. Oxford University Press.
Realism and Reason.Hilary Putnam - 1977 - Proceedings and Addresses of the American Philosophical Association 50 (6):483-498.
Logicism and the ontological commitments of arithmetic.Harold T. Hodes - 1984 - Journal of Philosophy 81 (3):123-149.

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