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International Studies in Phenomenology and Philosophy

Book | Chapter

186178

A dialogical conception of explanation in mathematical proofs

Catarina Dutilh Novaes

pp. 81-98

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.

Publication details

Published in:

Ernest Paul (2018) The philosophy of mathematics education today. Dordrecht, Springer.

Pages: 81-98

DOI: 10.1007/978-3-319-77760-3_5

Full citation:

Dutilh Novaes Catarina (2018) „A dialogical conception of explanation in mathematical proofs“, In: P. Ernest (ed.), The philosophy of mathematics education today, Dordrecht, Springer, 81–98.