Philosophical Studies 129 (3):545-574 (2006)

Authors
Øystein Linnebo
University of Oslo
Abstract
Since Benacerraf’s “Mathematical Truth” a number of epistemological challenges have been launched against mathematical platonism. I first argue that these challenges fail because they unduely assimilate mathematics to empirical science. Then I develop an improved challenge which is immune to this criticism. Very roughly, what I demand is an account of how people’s mathematical beliefs are responsive to the truth of these beliefs. Finally I argue that if we employ a semantic truth-predicate rather than just a deflationary one, there surprisingly turns out to be logical space for a response to the improved challenge where no such space appeared to exist.
Keywords Philosophy   Philosophy   Epistemology   Logic   Philosophy of Mind   Philosophy of Religion
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DOI 10.1007/s11098-004-3388-1
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References found in this work BETA

On the Plurality of Worlds.David Lewis - 1986 - Wiley-Blackwell.
The Logical Basis of Metaphysics.Michael Dummett - 1991 - Harvard University Press.
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Citations of this work BETA

The Intellectual Given.John Bengson - 2015 - Mind 124 (495):707-760.
The Reliability Challenge and the Epistemology of Logic.Joshua Schechter - 2010 - Philosophical Perspectives 24 (1):437-464.
Set-Theoretic Pluralism and the Benacerraf Problem.Justin Clarke-Doane - 2020 - Philosophical Studies 177 (7):2013-2030.

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