Axiomathes 26 (2):115-122 (2016)

Authors
Seungbae Park
Ulsan National Institute Of Science And Technology
Abstract
Indispensablists argue that when our belief system conflicts with our experiences, we can negate a mathematical belief but we do not because if we do, we would have to make an excessive revision of our belief system. Thus, we retain a mathematical belief not because we have good evidence for it but because it is convenient to do so. I call this view ‘ mathematical convenientism.’ I argue that mathematical convenientism commits the consequential fallacy and that it demolishes the Quine-Putnam indispensability argument and Baker’s enhanced indispensability argument.
Keywords Mathematical Confirmationism  Mathematical Convenientism  Indispensability Argument  Mathematical Realism
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Reprint years 2016
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DOI 10.1007/s10516-015-9281-z
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References found in this work BETA

From a Logical Point of View.W. V. O. Quine - 1953 - Harvard University Press.
A Confutation of Convergent Realism.Larry Laudan - 1981 - Philosophy of Science 48 (1):19-49.
The Indispensability of Mathematics.Mark Colyvan - 2001 - Oxford, England: Oxford University Press.

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Citations of this work BETA

Evidence: A Guide for the Uncertain.Kevin Dorst - 2020 - Philosophy and Phenomenological Research 100 (3):586-632.

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