Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics

Part I. Antecedents

1. On Non-literal Approaches
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2. Beautiful, Literally
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3. Ugly, Literally
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4. Problems of the Aesthetic Induction
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5. Naturalizing the Aesthetic Induction
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Part II. An Aesthetics of Mathematics

6. Introduction to a Naturalistic Aesthetic Theory
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7. Aesthetic Experience
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8. Aesthetic Value
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9. Aesthetic Judgement I: Concept
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10. Aesthetic Judgement II: Functions
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11. Mathematical Aesthetic Judgements
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Part III. Applications

12. Case Analysis I: Beauty
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13. Case Analysis II: Elegance
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14. Case Analysis III: Ugliness, Revisited
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Part IV. Closing Remarks

15. Issues of Mathematical Beauty, Revisited
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Keywords: Philosophy, Logic, Mathematical Logic and Foundations, Aesthetics