Intrinsic Explanation and Field’s Dispensabilist Strategy.

Hartry Field defended the importance of his nominalist reformulation of Newtonian Gravitational Theory, as a response to the indispensability argument, on the basis of a general principle of intrinsic explanation. In this paper, I argue that this principle is not sufficiently defensible, and can not...

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Publicado en:International Journal of Philosophical Studies Vol. 21; no. 2; pp. 163 - 184
Autor principal: Marcus, Russell
Formato: Artículo
Publicado: Taylor & Francis Ltd May2013
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Acceso en línea:Ver este registro en EBSCOhost
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        affil: Hamilton College, USA
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        Field, Hartry
        Nominalism
        Newton's law of gravitation
        Spacetime
        Mathematical reformulation
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          Field, Hartry
          Nominalism
          Newton's law of gravitation
          Spacetime
          Mathematical reformulation
      keyword:
        Hartry Field
        indispensability argument
        intrinsic explanation
        philosophy of mathematics
      ab: Hartry Field defended the importance of his nominalist reformulation of Newtonian Gravitational Theory, as a response to the indispensability argument, on the basis of a general principle of intrinsic explanation. In this paper, I argue that this principle is not sufficiently defensible, and can not do the work for which Field uses it. I argue first that the model for Field’s reformulation, Hilbert’s axiomatization of Euclidean geometry, can be understood without appealing to the principle. Second, I argue that our desires to unify our theories and explanations undermines Field’s principle. Third, the claim that extrinsic theories seem like magic is, in this case, really just a demand for an account of the applications of mathematics in science. Finally, even if we were to accept the principle, it would not favor the fictionalism that motivates Field’s argument, since the indispensabilist’s mathematical objects are actually intrinsic to scientific theory.
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