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  1. Physical Possibility and Determinate Number Theory.Sharon Berry - manuscript
    It’s currently fashionable to take Putnamian model theo- retic worries seriously for mathematics, but not for discussions of ordi- nary physical objects and the sciences. In this paper, I will attack this combination of views in two ways. First, I’ll (quickly) suggest there’s an analogy between the challenge of understanding realist reference to physical possibility and that of understanding reference to the kind of logical/combinatorial possibility invoked when we say that second order quantifiers range over ‘all possible subsets’ or it (...)
     
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  • Supertasks and Arithmetical Truth.Jared Warren & Daniel Waxman - 2020 - Philosophical Studies 177 (5):1275-1282.
    This paper discusses the relevance of supertask computation for the determinacy of arithmetic. Recent work in the philosophy of physics has made plausible the possibility of supertask computers, capable of running through infinitely many individual computations in a finite time. A natural thought is that, if supertask computers are possible, this implies that arithmetical truth is determinate. In this paper we argue, via a careful analysis of putative arguments from supertask computations to determinacy, that this natural thought is mistaken: supertasks (...)
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  • Is Mathematics Unreasonably Effective?Daniel Waxman - forthcoming - Australasian Journal of Philosophy:1-17.
    Many mathematicians, physicists, and philosophers have suggested that the fact that mathematics—an a priori discipline informed substantially by aesthetic considerations—can be applied to natural s...
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