Mathematical Structures of Natural Intel
β YairΒ Neuman
π Library
π
2017
π Springer
π English
β¦ LIBER β¦
π
Mathematical Structures of Natural Intelligence
β Scribed by Yair Neuman (auth.)
- Publisher
- Springer International Publishing
- Year
- 2017
- Tongue
- English
- Leaves
- 179
- Series
- Mathematics in Mind
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
Front Matter ....Pages i-xvii
Front Matter ....Pages 1-1
Introduction: The Highest Faculty of the Mind (Yair Neuman)....Pages 3-12
What Is Structure? Piagetβs Tour de Force (Yair Neuman)....Pages 13-29
Category Theory: Toward a Relational Epistemology (Yair Neuman)....Pages 31-46
How to Trick the Demon of Entropy (Yair Neuman)....Pages 47-51
Neural Networks and Groupoids (Yair Neuman)....Pages 53-62
Front Matter ....Pages 63-63
Natural Intelligence in the Wild (Yair Neuman)....Pages 65-70
Natural Intelligence Is About Meaning (Yair Neuman)....Pages 71-76
From Identity to Equivalence (Yair Neuman)....Pages 77-84
On Negation (Yair Neuman)....Pages 85-91
Modeling: The Structuralist Way (Yair Neuman)....Pages 93-102
On Structures and Wholes (Yair Neuman)....Pages 103-117
Front Matter ....Pages 119-119
Letβs Talk About Nothing: Numbers and Their Origin (Yair Neuman)....Pages 121-130
King Richard Is a Lion: On Metaphors and Analogies (Yair Neuman)....Pages 131-146
The Madman and the Dentist: The Unconscious Revealed (Yair Neuman)....Pages 147-154
Discussion (Yair Neuman)....Pages 155-161
Back Matter ....Pages 163-173
β¦ Subjects
Category Theory, Homological Algebra
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