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

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发表于 2025-3-21 16:23:39 | 显示全部楼层 |阅读模式
书目名称Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics
编辑Ulianov Montano
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概述Most comprehensive, systematic and scientifically informed study of aesthetic judgments in mathematics.Develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics.Dra
丛书名称Synthese Library
图书封面Titlebook: Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics;  Ulianov Montano Book 2014 Springer International Publishing Switzerl
描述.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 are prevalent, however, rigorous investigation of them, of mathematical beauty, is much less common. The volume integrates the basic elements of aesthetics, as it has been developed over the last 200 years, with recent findings in neuropsychology as well as a good knowledge of mathematics..The volume begins with a discussion of the reasons to interpret mathematical 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
出版日期Book 2014
关键词Application of Aesthetic Judgment; Beauty, Elegance and Ugliness in Mathematics; Concept of Aesthetic
版次1
doihttps://doi.org/10.1007/978-3-319-03452-2
isbn_softcover978-3-319-35381-4
isbn_ebook978-3-319-03452-2Series ISSN 0166-6991 Series E-ISSN 2542-8292
issn_series 0166-6991
copyrightSpringer International Publishing Switzerland 2014
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发表于 2025-3-21 21:48:14 | 显示全部楼层
Beautiful, Literallybeauty is presented: aesthetic terms cannot be interpreted metaphorically. Next we discuss how James McAllister’s literal interpretation of beauty is capable of affording results as interesting as a model of scientific progress. We discuss in detail McAllister’s most attractive insight: the idea of
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Aesthetic Judgement I: Conceptzed by the application of aesthetic terms. Their functions are to articulate aesthetic experience and to share the result of such articulation. Aesthetic terms are characterized in terms of what shall be named the RSD model of aesthetic terms. This model establishes that the correct application of a
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Aesthetic Judgement II: Functionsses a subjective state but it helps constitute the experience itself, this function is labelled articulation. A second function is to broadcast information, which enables other people to undergo their own processes of articulation.
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Case Analysis III: Ugliness, Revisitedevant aesthetic terms employed in mathematics, beautiful, elegant and ugly are covered. The analysis of computer-assisted proofs serves to showcase the advantages of the approach endorsed in this book, as it shall be clear that aesthetic judgements in mathematics depend not only on inductive changes
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