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Prolegomena to Virtue-Theoretic Studies in the Philosophy of Mathematics

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
Creators:
CreatorsEmailORCID
Martin, James V.james.v.martin@wmich.edu0000-0003-4924-4578
Additional Information: forthcoming in Synthese
Keywords: virtue; mathematical practice; MacIntyre; Wittgenstein
Subjects: Specific Sciences > Mathematics > Methodology
Specific Sciences > Mathematics > Practice
Specific Sciences > Mathematics > Values
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
Date: 2020
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/19794

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