Martin, James V. (2020) Prolegomena to Virtue-Theoretic Studies in the Philosophy of Mathematics. [Preprint]
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Abstract
Additional theorizing about mathematical practice is needed in order to ground appeals to truly useful notions of the virtues in mathematics. This paper aims to contribute to this theorizing, first, by characterizing mathematical practice as being epistemic and "objectual" in the sense of Knorr Cetina (in: Schatzki, Knorr Cetina, von Savigny (eds) The Practice Turn in Contemporary Theory, Routledge, London, 2001). Then, it elaborates a MacIntyrean framework for extracting conceptions of the virtues related to mathematical practice so understood. Finally, it makes the case that Wittgenstein’s methodology for examining mathematics and its practice is the most appropriate one to use for the actual investigation of mathematical practice within this MacIntyrean framework. At each stage of thinking through mathematical practice by these means, places where new virtue-theoretic questions are opened up for investigation are noted and briefly explored.
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| Item Type: | Preprint | ||||||
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| Additional Information: | forthcoming in Synthese | ||||||
| Keywords: | virtue; mathematical practice; MacIntyre; Wittgenstein | ||||||
| Subjects: | Specific Sciences > Mathematics > Methodology Specific Sciences > Mathematics > Practice Specific Sciences > Mathematics > Values |
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| Depositing User: | James Martin | ||||||
| Date Deposited: | 10 Nov 2021 16:26 | ||||||
| Last Modified: | 10 Nov 2021 16:26 | ||||||
| Item ID: | 19794 | ||||||
| Official URL: | https://link.springer.com/article/10.1007/s11229-0... | ||||||
| Subjects: | Specific Sciences > Mathematics > Methodology Specific Sciences > Mathematics > Practice Specific Sciences > Mathematics > Values |
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| Date: | 2020 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/19794 |
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