#### Location

University of Windsor

#### Document Type

Paper

#### Keywords

Argument, explanation, proof, mathematics

#### Start Date

22-5-2013 9:00 AM

#### End Date

25-5-2013 5:00 PM

#### Abstract

Are there arguments in mathematics? Are there explanations in mathematics? Are there any connections between argument, proof and explanation? Highly controversial answers and arguments are reviewed. The main point is that in the case of a mathematical proof, the pragmatic criterion used to make a distinction between argument and explanation is likely to be insufficient for you may grant the conclusion of a proof but keep on thinking that the proof is not explanatory.

#### Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.

#### Response to Submission

Andrew Aberdein, Commentary on: Michel Dufour's "Argument and explanation in mathematics"

#### Reader's Reactions

Andrew Aberdein, Commentary on: Michel Dufour's "Argument and explanation in mathematics" (May 2013)

Argument and explanation in mathematics

University of Windsor

Are there arguments in mathematics? Are there explanations in mathematics? Are there any connections between argument, proof and explanation? Highly controversial answers and arguments are reviewed. The main point is that in the case of a mathematical proof, the pragmatic criterion used to make a distinction between argument and explanation is likely to be insufficient for you may grant the conclusion of a proof but keep on thinking that the proof is not explanatory.