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Mathematics and Explanation.
・ISBN 978-1-009-01766-4 paper GB£ 18.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-009-03915-4
| 著者・編者 | Pincock, Christopher, |
|---|---|
| シリーズ | Elements in the Philosophy of Mathematics |
| 出版社 | (Cambridge U. Pr., UK) |
| 出版年月 | 2023.05 |
| ページ数 | 75 pp. |
| 言語 | ENG |
| ニュース番号 | <702-107> |
解説
This Element answers four questions. Can any traditional theory of scientific explanation make sense of the place of mathematics in explanation? If traditional monist theories are inadequate, is there some way to develop a more flexible, but still monist, approach that will clarify how mathematics can help to explain? What sort of pluralism about explanation is best equipped to clarify how mathematics can help to explain in science and in mathematics itself? Finally, how can the mathematical elements of an explanation be integrated into the physical world? Some of the evidence for a novel scientific posit may be traced to the explanatory power that this posit would afford, were it to exist. Can a similar kind of explanatory evidence be provided for the existence of mathematical objects, and if not, why not?