Mathematical Beauty and Perceptual Presence

Philosophical Investigations 34 (3):249-267 (2011)
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Abstract

This paper discusses the viability of claims of mathematical beauty, asking whether mathematical beauty, if indeed there is such a thing, should be conceived of as a sub-variety of the more commonplace kinds of beauty: natural, artistic and human beauty; or, rather, as a substantive variety in its own right. If the latter, then, per the argument, it does not show itself in perceptual awareness – because perceptual presence is what characterises the commonplace kinds of beauty, and mathematical beauty is not among these. I conclude that the reference to mathematical beauty merely expresses the awe in the mathematician about the intricate complexities and simplicity of certain proofs, theorems or mathematical “objects.”

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Rob Van Gerwen
Utrecht University

Citations of this work

Mathematical Beauty, Understanding, and Discovery.Carlo Cellucci - 2015 - Foundations of Science 20 (4):339-355.

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References found in this work

Philosophical investigations.Ludwig Wittgenstein & G. E. M. Anscombe - 1953 - Revue Philosophique de la France Et de l'Etranger 161:124-124.
After Virtue.A. MacIntyre - 1981 - Tijdschrift Voor Filosofie 46 (1):169-171.
Critique of judgement.Immanuel Kant - 2007 - New York: Oxford University Press. Edited by Nicholas Walker.
Essays, Moral, Political, and Literary.David Hume - 1875 - Indianapolis: Liberty Press. Edited by Eugene F. Miller.

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