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Good weasel hunting

Rob Fraser Orcid Logo, David Liggins

Synthese, Volume: 192, Issue: 10, Pages: 3397 - 3412

Swansea University Author: Rob Fraser Orcid Logo

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Abstract

The ‘indispensability argument’ for the existence of mathematical objects appeals to the role mathematics plays in science. In a series of publications, Joseph Melia has offered a distinctive reply to the indispensability argument. The purpose of this paper is to clarify Melia’s response to the indi...

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Published in: Synthese
ISSN: 0039-7857 1573-0964
Published: Springer Science and Business Media LLC 2015
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URI: https://cronfa.swan.ac.uk/Record/cronfa68381
Abstract: The ‘indispensability argument’ for the existence of mathematical objects appeals to the role mathematics plays in science. In a series of publications, Joseph Melia has offered a distinctive reply to the indispensability argument. The purpose of this paper is to clarify Melia’s response to the indispensability argument and to advise Melia and his critics on how best to carry forward the debate. We will begin by presenting Melia’s response and diagnosing some recent misunderstandings of it. Then we will discuss four avenues for replying to Melia. We will argue that the three replies pursued in the literature so far are unpromising. We will then propose one new reply that is much more powerful, and—in the light of this—advise participants in the debate where to focus their energies.
College: Faculty of Humanities and Social Sciences
Issue: 10
Start Page: 3397
End Page: 3412