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On the indispensable premises of the indispensability argument

Marco Panza(French National Centre for Scientific Research)Andrea Sereni

pp. 241-276

Abstract

We identify four different minimal versions of the indispensability argument, falling under four different 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.

Publication details

Published in:

Lolli Gabriele, Panza Marco, Venturi Giorgio (2015) From logic to practice: Italian studies in the philosophy of mathematics. Dordrecht, Springer.

Pages: 241-276

DOI: 10.1007/978-3-319-10434-8_13

Full citation:

Panza Marco, Sereni Andrea (2015) „On the indispensable premises of the indispensability argument“, In: G. Lolli, M. Panza & G. Venturi (eds.), From logic to practice, Dordrecht, Springer, 241–276.