Foundations of Science 20 (4):339-355 (2015)

Authors
Carlo Cellucci
Università degli Studi di Roma La Sapienza (PhD)
Abstract
In a very influential paper Rota stresses the relevance of mathematical beauty to mathematical research, and claims that a piece of mathematics is beautiful when it is enlightening. He stops short, however, of explaining what he means by ‘enlightening’. This paper proposes an alternative approach, according to which a mathematical demonstration or theorem is beautiful when it provides understanding. Mathematical beauty thus considered can have a role in mathematical discovery because it can guide the mathematician in selecting which hypothesis to consider and which to disregard. Thus aesthetic factors can have an epistemic role qua aesthetic factors in mathematical research
Keywords Mathematics  Beauty  Enlightenment  Understanding
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s10699-014-9378-7
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 70,307
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Elements of Symbolic Logic.Hans Reichenbach - 1947 - London: Dover Publications.
Critique of the Power of Judgment.Immanuel Kant - 2000 - Cambridge University Press.

View all 28 references / Add more references

Citations of this work BETA

Aesthetic Values in Science.Milena Ivanova - 2017 - Philosophy Compass 12 (10):e12433.
What is a Beautiful Experiment?Milena Ivanova - forthcoming - Erkenntnis:1-19.
Beauty Is Not All There Is to Aesthetics in Mathematics.R. S. D. Thomas - forthcoming - Philosophia Mathematica:nkw019.

View all 7 citations / Add more citations

Similar books and articles

Mathematical Beauty and Perceptual Presence.Rob van Gerwen - 2011 - Philosophical Investigations 34 (3):249-267.
Beauty in Proofs: Kant on Aesthetics in Mathematics.Angela Breitenbach - 2015 - European Journal of Philosophy 23 (4):955-977.
Beauty.Nick Zangwill - 2003 - In Jerrold Levinson (ed.), Oxford Companion to Aesthetics. Oxford University Press.
Mathematical Activity.M. Giaquinto - 2005 - In Paolo Mancosu, Klaus Frovin Jørgensen & S. A. Pedersen (eds.), Visualization, Explanation and Reasoning Styles in Mathematics. Dordrecht: Springer. pp. 75-87.
Whether philosophers need contemporary mathematics?V. A. Erovenko - 2013 - Liberal Arts in Russia 2 (6):523--530.
Goodness And Beauty In Plato.Nicholas Riegel - 2014 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 12:143-154.
Beauty.Roger Scruton - 2009 - Oxford University Press.

Analytics

Added to PP index
2014-09-18

Total views
91 ( #128,358 of 2,507,870 )

Recent downloads (6 months)
4 ( #169,107 of 2,507,870 )

How can I increase my downloads?

Downloads

My notes