A Counterfactual Approach to Explanation in Mathematic
Journal article
Baron, Sam, Colyvan, Mark and Ripley, David. (2020). A Counterfactual Approach to Explanation in Mathematic. Philosophia Mathematica. 28(1), pp. 1-34. https://doi.org/10.1093/philmat/nkz023
Authors | Baron, Sam, Colyvan, Mark and Ripley, David |
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Abstract | Our goal in this paper is to extend counterfactual accounts of scientific explanation to mathematics. Our focus, in particular, is on intra-mathematical explanations: explanations of one mathematical fact in terms of another. We offer a basic counterfactual theory of intra-mathematical explanations, before modelling the explanatory structure of a test case using counterfactual machinery. We finish by considering the application of counterpossibles to mathematical explanation, and explore a second test case along these lines. |
Year | 2020 |
Journal | Philosophia Mathematica |
Journal citation | 28 (1), pp. 1-34 |
Publisher | Oxford University Press |
ISSN | 1744-6406 |
Digital Object Identifier (DOI) | https://doi.org/10.1093/philmat/nkz023 |
Scopus EID | 2-s2.0-85085598570 |
Research or scholarly | Research |
Page range | 1-34 |
Funder | Australian Research Council (ARC) |
Publisher's version | File Access Level Controlled |
Output status | Published |
Publication dates | |
Online | 02 Dec 2019 |
Publication process dates | |
Deposited | 25 Oct 2021 |
Grant ID | ARC/FT110100909 |
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