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.Author's Profile
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Citations of this work
Σ01 soundness isn’t enough: Number theoretic indeterminacy’s unsavory physical commitments.Sharon Elizabeth Berry - forthcoming - British Journal for the Philosophy of Science.
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.
Three Varieties of Knowledge.Donald Davidson - 1991 - Royal Institute of Philosophy Supplement 30:153-166.
