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Mathematical Structures of Natural Intelligence

  • Yair Neuman

Part of the Mathematics in Mind book series (MATHMIN)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Part I

    1. Front Matter
      Pages 1-1
    2. Yair Neuman
      Pages 47-51
    3. Yair Neuman
      Pages 53-62
  3. Part II

    1. Front Matter
      Pages 63-63
    2. Yair Neuman
      Pages 65-70
    3. Yair Neuman
      Pages 71-76
    4. Yair Neuman
      Pages 77-84
    5. Yair Neuman
      Pages 85-91
    6. Yair Neuman
      Pages 93-102
    7. Yair Neuman
      Pages 103-117
  4. Part III

    1. Front Matter
      Pages 119-119
    2. Yair Neuman
      Pages 155-161
  5. Back Matter
    Pages 163-173

About this book

Introduction

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.

About the Author: Yair Neuman is a Full Professor at Ben-Gurion University. He holds a BA in Psychology (Major) and Philosophy (Minor) and a PhD in Cognition (Hebrew University, 1999), and his expertise is in studying complex cognitive, social, and symbolic systems from a unique interdisciplinary approach. Professor Neuman has published numerous papers and five academic books and has been a visiting scholar or professor at MIT, the University of Toronto, the University of Oxford, and the Weizmann Institute of Science. Beyond his purely academic work, he has developed state-of-the-art algorithms for social and cognitive computing, such as those he developed for the IARPA metaphor project (ADAMA group).

Keywords

category theory neural networks and groupoids Piaget's tour de force artificial neural networks geometry of mind models of cognitive processes neural networks Piaget's tour de force relational epistomology natural intelligence structuralist modeling madman and the dentist neo-structuralist theory of intelligence

Authors and affiliations

  • Yair Neuman
    • 1
  1. 1.The Department of Brain and Cognitive Sciences and the Zlotowski Center for NeuroscienceBen-Gurion University of the NegevBeer-ShevaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-68246-4
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-68245-7
  • Online ISBN 978-3-319-68246-4
  • Series Print ISSN 2522-5405
  • Series Online ISSN 2522-5413
  • Buy this book on publisher's site