Physical Possibility and Determinate Number Theory

Abstract

It's currently fashionable to take Putnamian model theoretic worries seriously for mathematics, but not for discussions of ordinary physical objects and the sciences. But I will argue that (under certain mild assumptions) merely securing determinate reference to physical possibility suffices to rule out nonstandard models of our talk of numbers. So anyone who accepts realist reference to physical possibility should not reject reference to the standard model of the natural numbers on Putnamian model theoretic grounds.

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Author's Profile

Sharon Berry
Indiana University, Bloomington

References found in this work

New Work For a Theory of Universals.David Lewis - 1983 - In D. H. Mellor & Alex Oliver (eds.), Properties. Oxford University Press.
Putnam’s paradox.David Lewis - 1984 - Australasian Journal of Philosophy 62 (3):221 – 236.
Models and reality.Hilary Putnam - 1980 - Journal of Symbolic Logic 45 (3):464-482.
Three Varieties of Knowledge.Donald Davidson - 1991 - Royal Institute of Philosophy Supplement 30:153-166.

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