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  1. Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics.Ulianov Montano - 2013 - Dordrecht, Netherland: Springer.
    This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes or personal idiosyncrasies, but rather that it had played a role in shaping the development of science. Mathematicians often evaluate certain pieces of mathematics using words like beautiful, elegant, or even ugly. Such evaluations (...)
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  • Are There “Aesthetic” Judgments?David C. Sackris & Rasmus Rosenberg Larsen - forthcoming - Erkenntnis:1-19.
    In philosophy of aesthetics, scholars commonly express a commitment to the premise that there is a distinctive type of judgment that can be meaningfully labeled “aesthetic”, and that these judgments are distinctively different from other types of judgments. We argue that, within an Aristotelian framework, there is no clear avenue for meaningfully differentiating “aesthetic” judgment from other types of judgment, and, as such, we aim to question the assumption that aesthetic judgment does in fact constitute a distinctive kind of judgment (...)
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  • Practice makes perfect: the effect of dance training on the aesthetic judge.Barbara Montero - 2012 - Phenomenology and the Cognitive Sciences 11 (1):59-68.
    According to Hume, experience in observing art is one of the prerequisites for being an ideal art critic. But although Hume extols the value of observing art for the art critic, he says little about the value, for the art critic, of executing art. That is, he does not discuss whether ideal aesthetic judges should have practiced creating the form of art they are judging. In this paper, I address this issue. Contrary to some contemporary philosophers who claim that experience (...)
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  • The structure of aesthetic properties.Rafael De Clercq - 2008 - Philosophy Compass 3 (5):894-909.
    Aesthetic properties are often thought to have either no evaluative component or an evaluative component that can be isolated from their descriptive component. The present article argues that this popular view is without adequate support. First, doubt is cast on the idea that some paradigmatic aesthetic properties are purely descriptive. Second, the idea that the evaluative component of an aesthetic property can always be neatly separated from its descriptive component is called into question. Meanwhile, a speculative hypothesis is launched regarding (...)
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  • Beauty in mathematics.Ulianov Montano Juarez - unknown
    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 (...)
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  • The Nature of Aesthetic Experiences.Fabian Dorsch - 2000 - Dissertation, University College London
    This dissertation provides a theory of the nature of aesthetic experiences on the basis of a theory of aesthetic values. It results in the formulation of the following necessary conditions for an experience to be aesthetic: it must consist of a representation of an object and an accompanying feeling; the representation must instantiate an intrinsic value; and the feeling must be the recognition of that value and bestow it on the object. Since representations are of intrinsic value for different reasons, (...)
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