David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
The aim of this work is to account for expressions like “Cantor’s diagonal proof is elegant” or “Euler identity is the most beautiful formula of mathematics”. This type of expressions is common among mathematicians; however, they may result in two kinds of puzzled reactions: first, the non mathematician may find the use of the word ‘beautiful’ strange in this context. Second, the mathematician may try to reinterpret mathematical beauty in terms of the principles and precepts of mathematics itself. I present an account of mathematical beauty that offers a way to avoid these puzzled reactions: mathematical beauty is just a type of “normal” beauty and no reinterpretation is necessary. To support this claim, I devise an aesthetic theory -by using insights and findings from experimental psychology, neurology, philosophical and psychological theories of emotion in art, philosophy of music and philosophy of science- that shows that aesthetic judgments in mathematics are genuine aesthetic judgments.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
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
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Susan Best (2005). Mild Intoxication and Other Aesthetic Feelings. Angelaki 10 (3):157 – 170.
Rob van Gerwen (2011). Mathematical Beauty and Perceptual Presence. Philosophical Investigations 34 (3):249-267.
Nick Zangwill (2003). Beauty. In Jerrold Levinson (ed.), Oxford Companion to Aesthetics. Oxford University Press.
Philip Mallaband (2002). Understanding Kant's Distinction Between Free and Dependent Beauty. Philosophical Quarterly 52 (206):66-81.
Rachel Zuckert (2005). Boring Beauty and Universal Morality: Kant on the Ideal of Beauty. Inquiry 48 (2):107 – 130.
Roger Scruton (2009). Beauty. Oxford University Press.
Peter K. Walhout (2009). The Beautiful and the Sublime in Natural Science. Zygon 44 (4):757-776.
Richard Cartwright Austin (1985). Beauty: A Foundation for Environmental Ethics. Environmental Ethics 7 (3):197-208.
Joe Winston (2010). Beauty and Education. Routledge.
Gian-carlo Rota (1997). The Phenomenology of Mathematical Beauty. Synthese 111 (2):171-182.
Added to index2010-07-21
Total downloads26 ( #77,973 of 1,679,387 )
Recent downloads (6 months)1 ( #183,003 of 1,679,387 )
How can I increase my downloads?