Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics

Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics

Montano, Ulianov

Springer International Publishing AG

08/2016

220

Mole

Inglês

9783319353814

15 a 20 dias

This book draws upon a broad spectrum of insights, from experimental psychology to the history of science and linguistics, to advance a rigorous and comprehensive theory of beauty and the aesthetic in mathematics.
Introduction.- Part 1. Antecedents.- Chapter 1. On Non-literal Approaches.- Chapter 2. Beautiful, Literally.- Chapter 3. Ugly, Literally.- Chapter 4. Problems of the Aesthetic Induction.- Chapter 5. Naturalizing the Aesthetic Induction.- Part 2. An Aesthetics of Mathematics.- Chapter 6. Introduction to a Naturalistic Aesthetic Theory.- Chapter 7. Aesthetic Experience.- Chapter 8. Aesthetic Value.- Chapter 9. Aesthetic Judgement I: Concept.- Chapter 10. Aesthetic Judgement II: Functions.- Chapter 11. Mathematical Aesthetic Judgements.- Part 3. Applications.- Chapter 12. Case Analysis I: Beauty.- Chapter 13. Case Analysis II: Elegance.- Chapter 14. Case Analysis III: Ugliness, Revisited.- Chapter 15. Issues of Mathematical Beauty, Revisited.
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