We identify four different minimal versions of the indispensability argument, falling under four difference varieties: an epistemic argument for semantic realism, an epistemic argument for platonism, and a non-epistemic version of both. We argue that most current formulations of the argument can be reconstructed by building upon the suggested minimal versions. Part of our discussion relies on a clarification of the notion of (in)dispensability as relational in character. We then present some substantive consequences of our inquiry for the philosophical significance of the indispensability argument, the most relevant of which being that both naturalism and confirmational holism can be dispensed with, contrary to what is held by many.

On the Indispensable Premises of the Indispensability Argument

Sereni A
2015

Abstract

We identify four different minimal versions of the indispensability argument, falling under four difference varieties: an epistemic argument for semantic realism, an epistemic argument for platonism, and a non-epistemic version of both. We argue that most current formulations of the argument can be reconstructed by building upon the suggested minimal versions. Part of our discussion relies on a clarification of the notion of (in)dispensability as relational in character. We then present some substantive consequences of our inquiry for the philosophical significance of the indispensability argument, the most relevant of which being that both naturalism and confirmational holism can be dispensed with, contrary to what is held by many.
978-3-319-10434-8
Indispensability Arguments; Epistemology of Mathematics; Mathematical Naturalism and Holism
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12076/1293
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