Rittberg, Colin Jakob (2021) Intellectual humility in mathematics. [Preprint]
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Abstract
In this paper I explore how intellectual humility manifests in mathematical practices. To do this I employ accounts of this virtue as developed by virtue epistemologists in three case studies of mathematical activity. As a contribution to a Topical Collection on virtue theory of mathematical practices this paper explores in how far existing virtue-theoretic frameworks can be applied to a philosophical analysis of mathematical practices. I argue that the individual accounts of intellectual humility are successful at tracking some manifestations of this virtue in mathematical practices and fail to track others. There are two upshots to this. First, the accounts of the intellectual virtues provided by virtue epistemologists are insightful for the development of a virtue theory of mathematical practices but require adjustments in some cases. Second, the case studies reveal dimensions of intellectual humility virtue epistemologists have thus far overlooked in their theoretical reflections.
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| Item Type: | Preprint | ||||||
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| Keywords: | humility – philosophy of mathematical practices – virtue epistemology – virtue – Erdős-Selberg dispute – abc-conjecture – multiverse logic | ||||||
| Subjects: | Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Practice Specific Sciences > Mathematics > Values |
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| Depositing User: | Dr. Colin Jakob Rittberg | ||||||
| Date Deposited: | 16 Jan 2021 20:01 | ||||||
| Last Modified: | 16 Jan 2021 20:01 | ||||||
| Item ID: | 18607 | ||||||
| Subjects: | Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Practice Specific Sciences > Mathematics > Values |
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| Date: | 2021 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/18607 |
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