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Platonic Relations and Mathematical Explanations

Rob Fraser Orcid Logo

The Philosophical Quarterly, Volume: 71, Issue: 3, Pages: 623 - 644

Swansea University Author: Rob Fraser Orcid Logo

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DOI (Published version): 10.1093/pq/pqaa053

Abstract

Some scientific explanations appear to turn on pure mathematical claims. The enhanced indispensability argument appeals to these ‘mathematical explanations’ in support of mathematical platonism. I argue that the success of this argument rests on the claim that mathematical explanations locate pure m...

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Published in: The Philosophical Quarterly
ISSN: 0031-8094 1467-9213
Published: Oxford University Press (OUP) 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa68389
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spelling 2025-01-13T14:02:08.5659450 v2 68389 2024-11-29 Platonic Relations and Mathematical Explanations b672bd356b55dba1f5d104300a083215 0000-0002-1475-1863 Rob Fraser Rob Fraser true false 2024-11-29 SOSS Some scientific explanations appear to turn on pure mathematical claims. The enhanced indispensability argument appeals to these ‘mathematical explanations’ in support of mathematical platonism. I argue that the success of this argument rests on the claim that mathematical explanations locate pure mathematical facts on which their physical explananda depend, and that any account of mathematical explanation that supports this claim fails to provide an adequate understanding of mathematical explanation. Journal Article The Philosophical Quarterly 71 3 623 644 Oxford University Press (OUP) 0031-8094 1467-9213 mathematical explanation, enhanced indispensability argument, mathematical platonism, ontic dependence, mathematical structuralism, underdetermination 17 6 2021 2021-06-17 10.1093/pq/pqaa053 COLLEGE NANME Social Sciences School COLLEGE CODE SOSS Swansea University Not Required British Academy (pf160035) 2025-01-13T14:02:08.5659450 2024-11-29T11:34:47.3130338 Faculty of Humanities and Social Sciences School of Social Sciences - Politics, Philosophy and International Relations Rob Fraser 0000-0002-1475-1863 1
title Platonic Relations and Mathematical Explanations
spellingShingle Platonic Relations and Mathematical Explanations
Rob Fraser
title_short Platonic Relations and Mathematical Explanations
title_full Platonic Relations and Mathematical Explanations
title_fullStr Platonic Relations and Mathematical Explanations
title_full_unstemmed Platonic Relations and Mathematical Explanations
title_sort Platonic Relations and Mathematical Explanations
author_id_str_mv b672bd356b55dba1f5d104300a083215
author_id_fullname_str_mv b672bd356b55dba1f5d104300a083215_***_Rob Fraser
author Rob Fraser
author2 Rob Fraser
format Journal article
container_title The Philosophical Quarterly
container_volume 71
container_issue 3
container_start_page 623
publishDate 2021
institution Swansea University
issn 0031-8094
1467-9213
doi_str_mv 10.1093/pq/pqaa053
publisher Oxford University Press (OUP)
college_str Faculty of Humanities and Social Sciences
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hierarchy_top_id facultyofhumanitiesandsocialsciences
hierarchy_top_title Faculty of Humanities and Social Sciences
hierarchy_parent_id facultyofhumanitiesandsocialsciences
hierarchy_parent_title Faculty of Humanities and Social Sciences
department_str School of Social Sciences - Politics, Philosophy and International Relations{{{_:::_}}}Faculty of Humanities and Social Sciences{{{_:::_}}}School of Social Sciences - Politics, Philosophy and International Relations
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description Some scientific explanations appear to turn on pure mathematical claims. The enhanced indispensability argument appeals to these ‘mathematical explanations’ in support of mathematical platonism. I argue that the success of this argument rests on the claim that mathematical explanations locate pure mathematical facts on which their physical explananda depend, and that any account of mathematical explanation that supports this claim fails to provide an adequate understanding of mathematical explanation.
published_date 2021-06-17T14:45:59Z
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score 11.048085

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