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The Brain: Fuzzy Arithmetic to Quantum Computing

  • Book
  • © 2005

Overview

Authors:
  1. Armando Freitas Rocha

    1. Juandiaí, Brazil

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  2. Eduardo Massad

    1. University of São Paulo, São Paulo, Brazil

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  3. Alfredo Pereira

    1. Department of Education, UNESP, Botucatu, Brazil

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  • develops new and powerful neural models providing formal descriptions of biochemical transactions in the brain.
  • presents an original and astounding new understanding of the brain by taking into account novel achievements in Fuzziness and Quantum Information Theory.
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 165)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-VII
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  2. Introduction

    Pages 1-6

  3. Quantification and Calculation in Nature

    Pages 7-20

  4. The Cells of the Brain

    Pages 21-52

  5. Brain: A Distributed Intelligent Processing System

    Pages 53-77

  6. Neural Computational Mechanisms Supporting Cognitive Processes

    Pages 79-92

  7. The Brain and Quantum Computation

    Pages 93-116

  8. Memetics and Cognitive Mathematics

    Pages 117-133

  9. Modeling of Arithmetic Reasoning

    Pages 135-151

  10. Brain Maps of Arithmetic Processes in Children and Adults

    Pages 153-177

  11. Arithmetic Learning Capability in Congenitally Injured Brains

    Pages 179-198

  12. Learning Arithmetic: Why So Difficult?

    Pages 199-211

  13. Back Matter

    Pages 213-227
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Keywords

About this book

We could start writing this book by saying, with several other authors, that the brain is the most powerful and complex information processing device known, whether naturally developed or created artificially. Although we fully agree with this statement, in doing so we would be misleading the reader, in the sense that the present book basically aims to formalize the knowledge concerning brain physiology accumulated over the past few decades. Instead of merely describing the complexity of the cerebral str- ture or presenting a collection of commentaries and reviews of interesting experimental results, we take into account novel achievements in quantum information and quantum computation, and avail ourselves of recently - veloped mathematical tools. Neuroscience was bom in the 19'~ century with the works of Paul Brocca. However, this fledgling field experienced a boom only in recent times, following the development of powerful non-invasive techniques for probing the neural circuitry supporting the complex cognitive functions of the human brain. Although sophisticated mathematical models and phy- cal theories are the basic tools behind the conceptual foundations and a- lytical implementation of these modem techniques, to the best of our knowledge no effort was made to formalize the actual knowledge about brain function into a coherent theoretical framework incorporating the - cent developments in mathematical and physical science. Addressing this lack was our first motivation in writing this book.

Reviews

From the reviews:

"This textbook on brain neurology considers, besides fuzzy grammars, fuzzy languages and classical information processing, also quantum information and computation as well to be essential to explain the brain as an intelligent processing system. … is highly interesting and readable." (K.-E. Hellwig, Zentralblatt MATH, Vol. 1135 (13), 2008)

Authors and Affiliations

  • Juandiaí, Brazil

    Armando Freitas Rocha

  • University of São Paulo, São Paulo, Brazil

    Eduardo Massad

  • Department of Education, UNESP, Botucatu, Brazil

    Alfredo Pereira

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