# Explanation in mathematics: Proofs and practice

*Philosophy Compass*14 (11) (2019)

**Abstract**

Mathematicians distinguish between proofs that explain their results and those that merely prove. This paper explores the nature of explanatory proofs, their role in mathematical practice, and some of the reasons why philosophers should care about them. Among the questions addressed are the following: what kinds of proofs are generally explanatory (or not)? What makes a proof explanatory? Do all mathematical explanations involve proof in an essential way? Are there really such things as explanatory proofs, and if so, how do they relate to the sorts of explanation encountered in philosophy of science and metaphysics?

**Keywords**

**Categories**

**PhilPapers/Archive ID**

DALEIM

**Upload history**

Archival date: 2019-08-06

View other versions

View other versions

**Added to PP index**

2019-08-06

**Total views**

566 ( #11,361 of 65,721 )

**Recent downloads (6 months)**

109 ( #5,800 of 65,721 )

How can I increase my downloads?

**Downloads since first upload**

*This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.*