Against (maddian) naturalized platonism

Philosophia Mathematica 2 (2):97-108 (1994)
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Abstract

It is argued here that mathematical objects cannot be simultaneously abstract and perceptible. Thus, naturalized versions of mathematical platonism, such as the one advocated by Penelope Maddy, are unintelligble. Thus, platonists cannot respond to Benacerrafian epistemological arguments against their view vias Maddy-style naturalization. Finally, it is also argued that naturalized platonists cannot respond to this situation by abandoning abstractness (that is, platonism); they must abandon perceptibility (that is, naturalism)

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Mark Balaguer
California State University, Los Angeles

Citations of this work

A platonist epistemology.Mark Balaguer - 1995 - Synthese 103 (3):303 - 325.
Perceiving Necessity.Catherine Legg & James Franklin - 2017 - Pacific Philosophical Quarterly 98 (3).
Matematika a skutočnosť.Ladislav Kvasz - 2011 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 18 (3):302-330.

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References found in this work

Two Dogmas of Empiricism.Willard V. O. Quine - 1951 - Philosophical Review 60 (1):20–43.
The foundations of arithmetic.Gottlob Frege - 1884/1950 - Evanston, Ill.,: Northwestern University Press.
Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
Abstract objects.Bob Hale - 1988 - New York, NY, USA: Blackwell.

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