Plebani, Matteo (2018) The indispensability argument and the nature of mathematical objects. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 249-263. ISSN 2171-679X
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Abstract
I will contrast two conceptions of the nature of mathematical objects: the conception of mathematical objects as preconceived objects (Yablo 2010), and heavy duty platonism (Knowles 2015). I will argue that friends of the indispensability argument are committed to some metaphysical theses and that one promising way to motivate such theses is to adopt heavy duty platonism. On the other hand, combining the indispensability argument with the conception of mathematical objects as preconceived objects yields an unstable position. The conclusion is that the metaphysical commitments of the indispensability argument should be carefully scrutinized.
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| Item Type: | Published Article or Volume | ||||||
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| Additional Information: | ISSN: 0495-4548 (print) | ||||||
| Keywords: | indispensability argument; heavy duty platonism; metaphysical grounding | ||||||
| Subjects: | Specific Sciences > Mathematics > Applicability Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Ontology Specific Sciences > Mathematics |
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| Depositing User: | Unnamed user with email theoria@ehu.es | ||||||
| Date Deposited: | 20 Jun 2018 18:01 | ||||||
| Last Modified: | 20 Jun 2018 18:01 | ||||||
| Item ID: | 14795 | ||||||
| Journal or Publication Title: | THEORIA. An International Journal for Theory, History and Foundations of Science | ||||||
| Publisher: | Euskal Herriko Unibertsitatea / Universidad del País Vasco | ||||||
| Official URL: | http://www.ehu.eus/ojs/index.php/THEORIA/article/v... | ||||||
| DOI or Unique Handle: | 10.1387/theoria.17613 | ||||||
| Subjects: | Specific Sciences > Mathematics > Applicability Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Ontology Specific Sciences > Mathematics |
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| Date: | May 2018 | ||||||
| Page Range: | pp. 249-263 | ||||||
| Volume: | 33 | ||||||
| Number: | 2 | ||||||
| ISSN: | 2171-679X | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/14795 |
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