Against Mathematical Convenientism |
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Authors: | Seungbae Park |
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Affiliation: | 1.Division of General Studies,Ulsan National Institute of Science and Technology,Ulju-gun, Ulsan,Republic of Korea |
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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. |
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