Book Volume 370 2014

Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics

Authors:

ISBN: 978-3-319-03451-5 (Print) 978-3-319-03452-2 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xviii

  2. Antecedents

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-19

      On Non-literal Approaches

    3. No Access

      Chapter

      Pages 21-31

      Beautiful, Literally

    4. No Access

      Chapter

      Pages 33-43

      Ugly, Literally

    5. No Access

      Chapter

      Pages 45-56

      Problems of the Aesthetic Induction

    6. No Access

      Chapter

      Pages 57-69

      Naturalizing the Aesthetic Induction

  3. An Aesthetics of Mathematics

    1. Front Matter

      Pages 71-71

    2. No Access

      Chapter

      Pages 73-83

      Introduction to a Naturalistic Aesthetic Theory

    3. No Access

      Chapter

      Pages 85-116

      Aesthetic Experience

    4. No Access

      Chapter

      Pages 117-130

      Aesthetic Value

    5. No Access

      Chapter

      Pages 131-148

      Aesthetic Judgement I: Concept

    6. No Access

      Chapter

      Pages 149-159

      Aesthetic Judgement II: Functions

    7. No Access

      Chapter

      Pages 161-163

      Mathematical Aesthetic Judgements

  4. Applications

    1. Front Matter

      Pages 165-165

    2. No Access

      Chapter

      Pages 167-177

      Case Analysis I: Beauty

    3. No Access

      Chapter

      Pages 179-195

      Case Analysis II: Elegance

    4. No Access

      Chapter

      Pages 197-203

      Case Analysis III: Ugliness, Revisited

  5. Closing Remarks

    1. Front Matter

      Pages 205-205

    2. No Access

      Chapter

      Pages 207-209

      Issues of Mathematical Beauty, Revisited

  6. Back Matter

    Pages 211-220