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Heavy Duty Platonism

Rob Fraser Orcid Logo

Erkenntnis, Volume: 80, Issue: 6, Pages: 1255 - 1270

Swansea University Author: Rob Fraser Orcid Logo

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Abstract

Heavy duty platonism (HDP) is of great dialectical importance in the philosophy of mathematics. It is the view that physical magnitudes, such as mass and temperature, are cases of physical objects being related to numbers. Many theorists have assumed HDP’s falsity in order to reach their own conclus...

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Published in: Erkenntnis
ISSN: 0165-0106 1572-8420
Published: Springer Science and Business Media LLC 2015
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URI: https://cronfa.swan.ac.uk/Record/cronfa68378
first_indexed 2024-11-29T13:46:45Z
last_indexed 2024-11-29T13:46:45Z
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spelling 2024-11-29T11:53:45.1305615 v2 68378 2024-11-29 Heavy Duty Platonism b672bd356b55dba1f5d104300a083215 0000-0002-1475-1863 Rob Fraser Rob Fraser true false 2024-11-29 SOSS Heavy duty platonism (HDP) is of great dialectical importance in the philosophy of mathematics. It is the view that physical magnitudes, such as mass and temperature, are cases of physical objects being related to numbers. Many theorists have assumed HDP’s falsity in order to reach their own conclusions, but they are only justified in doing so if there are good arguments against HDP. In this paper, I present all five arguments against HDP alluded to in the literature and show that they all fail. In doing so, I establish two related truths: HDP has been unfairly ignored, and the arguments which take its falsity as a key premise should be re-assessed. Journal Article Erkenntnis 80 6 1255 1270 Springer Science and Business Media LLC 0165-0106 1572-8420 1 12 2015 2015-12-01 10.1007/s10670-015-9723-4 http://dx.doi.org/10.1007/s10670-015-9723-4 COLLEGE NANME Social Sciences School COLLEGE CODE SOSS Swansea University 2024-11-29T11:53:45.1305615 2024-11-29T08:44:09.6246572 Faculty of Humanities and Social Sciences School of Social Sciences - Politics, Philosophy and International Relations Rob Fraser 0000-0002-1475-1863 1
title Heavy Duty Platonism
spellingShingle Heavy Duty Platonism
Rob Fraser
title_short Heavy Duty Platonism
title_full Heavy Duty Platonism
title_fullStr Heavy Duty Platonism
title_full_unstemmed Heavy Duty Platonism
title_sort Heavy Duty Platonism
author_id_str_mv b672bd356b55dba1f5d104300a083215
author_id_fullname_str_mv b672bd356b55dba1f5d104300a083215_***_Rob Fraser
author Rob Fraser
author2 Rob Fraser
format Journal article
container_title Erkenntnis
container_volume 80
container_issue 6
container_start_page 1255
publishDate 2015
institution Swansea University
issn 0165-0106
1572-8420
doi_str_mv 10.1007/s10670-015-9723-4
publisher Springer Science and Business Media LLC
college_str Faculty of Humanities and Social Sciences
hierarchytype
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
url http://dx.doi.org/10.1007/s10670-015-9723-4
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description Heavy duty platonism (HDP) is of great dialectical importance in the philosophy of mathematics. It is the view that physical magnitudes, such as mass and temperature, are cases of physical objects being related to numbers. Many theorists have assumed HDP’s falsity in order to reach their own conclusions, but they are only justified in doing so if there are good arguments against HDP. In this paper, I present all five arguments against HDP alluded to in the literature and show that they all fail. In doing so, I establish two related truths: HDP has been unfairly ignored, and the arguments which take its falsity as a key premise should be re-assessed.
published_date 2015-12-01T14:45:56Z
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