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  1. On the Possibility of Science Without Numbers.Chris Mortensen - 1998 - Australasian Journal of Philosophy 76 (2):182 – 197.
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  • Dispensability in the Indispensability Argument.Patrick S. Dieveney - 2007 - Synthese 157 (1):105-128.
    One of the most influential arguments for realism about mathematical objects is the indispensability argument. Simply put, this is the argument that insofar as we are committed to the existence of the physical objects existentially quantified over in our best scientific theories, we are also committed to the mathematical objects existentially quantified over in these theories. Following the Quine–Putnam formulation of the indispensability argument, some proponents of the indispensability argument have made the mistake of taking confirmational holism to be an (...)
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  • Extending Hartry Field's Instrumental Account of Applied Mathematics to Statistical Mechanics.Glen Meyer - 2009 - Philosophia Mathematica 17 (3):273-312.
    A serious flaw in Hartry Field’s instrumental account of applied mathematics, namely that Field must overestimate the extent to which many of the structures of our mathematical theories are reflected in the physical world, underlies much of the criticism of this account. After reviewing some of this criticism, I illustrate through an examination of the prospects for extending Field’s account to classical equilibrium statistical mechanics how this flaw will prevent any significant extension of this account beyond field theories. I note (...)
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