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A Dialogical Conception of Explanation in Mathematical Proofs

  • Catarina Dutilh Novaes
Chapter
Part of the ICME-13 Monographs book series (ICME13Mo)

Abstract

In this chapter, I argue that the issue of explanatoriness in mathematical proofs can be fruitfully addressed within the dialogical conceptualization of proofs that I have been developing in recent years. The key idea is to emphasize the observation that a proof is a piece of discourse aimed at an intended audience, with the intent to produce explanatory persuasion. This approach explains both why explanatory proofs are to be preferred over non- or less explanatory ones, and why explanatoriness is an audience-relative property of a proof. This account is also able to clarify a number of features of mathematical practice.

Keywords

Explanation Mathematical proofs Dialogues 

Notes

Acknowledgements

Thanks to Jonathan Schaffer for helpful comments on an earlier draft.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of PhilosophyUniversity of GroningenGroningenThe Netherlands

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