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The way some scientific explanations work is not by describing causal connections between events or by describing the world’s overall causal structure. Furthermore, mathematicians regard some proofs as not merely proving some theorems but also explaining why those theorems hold—and these explanations do not work by supplying information about causes. This book proposes philosophical accounts of many kinds of non-causal explanations in science and mathematics. One important kind of non-causal scientific explanation is termed “explanation by constraint.” These explanations work by providing info ... More

*Keywords: *
explanation,
science,
mathematics,
proof,
necessity,
dimension,
cause,
law of nature

Print publication date: 2016 | Print ISBN-13: 9780190269487 |

Published to Oxford Scholarship Online: December 2016 | DOI:10.1093/acprof:oso/9780190269487.001.0001 |

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## Front Matter

## Part I Scientific Explanations by Constraint

## Part II Two Other Varieties of Non-Causal Explanation in Science

## Part III Explanation in Mathematics

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9 Desargues’s Theorem as a Case Study of Mathematical Explanation, Existence, and Natural Properties

## Part IV Explanations in Mathematics and Non-Causal Scientific Explanations—Together

## End Matter

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