Mathematical Structures of Natural Intelligence

• Main Author: Neuman, Yair (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Mathematics in Mind,
• Subjects: Mathematics.; Category theory (Mathematics).; Homological algebra.; Neural networks (Computer science).; Algebraic topology.; Category Theory, Homological Algebra.; Mathematical Models of Cognitive Processes and Neural Networks.; Algebraic Topology.

This book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought. In this context, the book explores various topics and questions, such as the...

Table of Contents:

• Part I. 1. Introduction
• 2. What is Structure?
• 3. Category Theory
• 4. How to Trick the Demon of Entropy
• 5. Neural Networks and Groupoids
• Part II. 6. Natural Intelligence in the Wild
• 7. Natural Intelligence is about meaning
• 8. From Identity to Equivalence
• 9. On Negation
• 10. Modeling
• 11. On Structures and Wholes
• Part III. 12. Let's Talk About Nothing
• 13. King Richard is a Lion
• 14. The Madman and the Dentist
• 15. Discussion
• References
• Author index
• Subject index.