Titlebook: Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics; Ulianov Montano Book 2014 Springer International Publishing Switzerl

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On Non-literal Approachesshall be argued that the reasons for endorsing a non literal interpretation of mathematical beauty are rather weak. The discussion also examines the conceptions of mathematical beauty by Shaftesbury, Hutchenson and Gian-Carlo Rota.

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Beautiful, Literallycapable of affording results as interesting as a model of scientific progress. We discuss in detail McAllister’s most attractive insight: the idea of the aesthetic induction, which intends to account for historical changes in aesthetic preferences.

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Ugly, Literallyount of beauty based merely on the passive contemplation of properties of objects is insufficient to account for mathematical items that involve the active use of our attention. Special emphasis is placed on the importance of mental contents and mental activities in mathematical beauty; the crucial notion of intentional object is thus introduced.

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Book 2014ditional 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

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Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics

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0166-6991 and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted t978-3-319-35381-4978-3-319-03452-2Series ISSN 0166-6991 Series E-ISSN 2542-8292

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Book 2014matical beauty in a literal or non-literal fashion, which also serves to survey historical and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted t

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