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Three dimensions of mathematical explanationstitle | Three dimensions of mathematical explanations |
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start_date | 2023/12/04 |
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schedule | 17h-19h |
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online | no |
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location_info | on Zoom |
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summary | Recent literature on intra-mathematical explanation (mathematical explanation of a mathematical fact) has significantly expanded the range of case studies analysed from different areas of mathematical practice. Nevertheless, very few general accounts of mathematical explanation have been proposed since Steiner's [1978] and Kitcher's [1981], and none seems to attract a wide consensus. In this paper, I suggest that the case studies analysed so far show that intra-mathematical explanation varies along three main dimensions: (i) the goals of enquiry, (ii) the target audience, and (iii) the mathematical features of the explanans, and I argue that this framework can illuminate many aspects of the current disagreement about explanations in mathematical practice. |
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responsibles | Pataut, Poggiolesi |
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Workflow historyfrom state (1) | to state | comment | date |
submitted | published | | 2023/11/29 13:32 UTC |
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