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 human representation of the number system, why our counting ability is different from that which is evident among non-human organisms, and why the idea of zero is so difficult to grasp.
The book is organized into three parts: the first introduces the general reason for studying general structures underlying the human mind; the second part introduces category theory as a modeling language and use it for exposing the deep and fascinating structures underlying human cognition; and the third applies the general principles and ideas of the first two parts to reaching a better understanding of challenging aspects of the human mind such as our understanding of the number system, the metaphorical nature of our thinking and the logic of our unconscious dynamics.
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. The text has a significant philosophical and psychological flavor interestingly combined with mathematical concepts. ... The author presents his vision on describing philosophical aspects regarding natural intelligence in mathematical terms. His point of view can be of interest for readers wishing to ló'
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