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

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https://doi.org/10.1007/978-3-319-03452-2Application of Aesthetic Judgment; Beauty, Elegance and Ugliness in Mathematics; Concept of Aesthetic

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A. K. Tyagi,Raghumani S. NingthoujamThis chapter applies the aesthetic as process theory to a more refined judgement. The evaluation of Cantor’s Diagonal Proof as elegant is analysed. This allows us to see how the notions of aesthetic experience and subjective articulation can account for the nuances involved in the application of the closely related notions of beauty and elegance.

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Aesthetic ExperienceThis chapter addresses aesthetic experience. Aesthetic experience is interpreted as a subprocess that involves changes in the focus and content of our attention and the eliciting of affective responses. A conception of the characteristic intentional object involved in aesthetic experiences of mathematics is introduced.

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Case Analysis I: BeautyThis chapter showcases the aesthetic as process theory in action. The theory is applied to account for an example of mathematical beauty. Francois Le Lionnais’s evaluation of . = . as beautiful is examined.

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