Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics

• Κύριος συγγραφέας: Montano, Ulianov (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ; 370
• Θέματα: Philosophy.; Aesthetics.; Logic.; Mathematical logic.; Mathematical Logic and Foundations.

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 ane...

Πίνακας περιεχομένων:

• 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.