The Resource A New Foundation for Representation in Cognitive and Brain Science : Category Theory and the Hippocampus, by Jaime Gómez-Ramirez, (electronic resource)

A New Foundation for Representation in Cognitive and Brain Science : Category Theory and the Hippocampus, by Jaime Gómez-Ramirez, (electronic resource)

Label
A New Foundation for Representation in Cognitive and Brain Science : Category Theory and the Hippocampus
Title
A New Foundation for Representation in Cognitive and Brain Science
Title remainder
Category Theory and the Hippocampus
Statement of responsibility
by Jaime Gómez-Ramirez
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
The purpose of the book is to advance in the understanding of brain function by defining a general framework for representation based on category theory. The idea is to bring this mathematical formalism into the domain of neural representation of physical spaces, setting the basis for a theory of mental representation, able to relate empirical findings, uniting them into a sound theoretical corpus. The innovative approach presented in the book provides a horizon of interdisciplinary collaboration that aims to set up a common agenda that synthesizes mathematical formalization and empirical procedures in a systemic way. Category theory has been successfully applied to qualitative analysis, mainly in theoretical computer science to deal with programming language semantics. Nevertheless, the potential of category theoretic tools for quantitative analysis of networks has not been tackled so far. Statistical methods to investigate graph structure typically rely on network parameters. Category theory can be seen as an abstraction of graph theory. Thus, new categorical properties can be added into network analysis and graph theoretic constructs can be accordingly extended in more fundamental basis. By generalizing networks using category theory we can address questions and elaborate answers in a more fundamental way without waiving graph theoretic tools. The vital issue is to establish a new framework for quantitative analysis of networks using the theory of categories, in which computational neuroscientists and network theorists may tackle in more efficient ways the dynamics of brain cognitive networks. The intended audience of the book is researchers who wish to explore thevalidity of mathematical principles in the understanding of cognitive systems. All the actors in cognitive science: philosophers, engineers, neurobiologists, cognitive psychologists, computer scientists etc. are akin to discover along its pages new unforeseen connections through the development of concepts and formal theories described in the book. Practitioners of both pure and applied mathematics e.g., network theorists, will be delighted with the mapping of abstract mathematical concepts in the terra incognita of cognition
Member of
Is Subseries of
http://library.link/vocab/creatorName
Gómez-Ramirez, Jaime
Dewey number
006.3
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
h8nhBeLjyhQ
Language note
English
LC call number
RC321-580
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer Series in Cognitive and Neural Systems,
Series volume
7
http://library.link/vocab/subjectName
  • Neurosciences
  • Algebra
  • Philosophy (General)
  • Neurology
  • Artificial intelligence
  • Applied psychology
  • Neurosciences
  • Category Theory, Homological Algebra
  • Philosophy, general
  • Neurology
  • Artificial Intelligence
  • Biological Psychology
Label
A New Foundation for Representation in Cognitive and Brain Science : Category Theory and the Hippocampus, by Jaime Gómez-Ramirez, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- Research tools and paradigms -- State of the Art: Mathematical approaches in brain science -- The Categorical Imperative: Category theory in Cognitive and Brain Science -- Elementary principles in cognitive systems modeling -- The shift towards structure -- A general framework for representation -- Towards a Theory of Brain Structure and Function -- A theory of hippocampus structure and function based on Category Theory -- From Cells to Memories. A Categorical Approach -- Epilogue
Dimensions
unknown
Extent
1 online resource (213 p.)
Form of item
online
Isbn
9789400777385
Media category
computer
Media type code
c
Other control number
10.1007/978-94-007-7738-5
Specific material designation
remote
System control number
  • (CKB)3710000000075870
  • (EBL)1592128
  • (SSID)ssj0001066486
  • (PQKBManifestationID)11585486
  • (PQKBTitleCode)TC0001066486
  • (PQKBWorkID)11068363
  • (PQKB)10322793
  • (MiAaPQ)EBC1592128
  • (DE-He213)978-94-007-7738-5
  • (EXLCZ)993710000000075870
Label
A New Foundation for Representation in Cognitive and Brain Science : Category Theory and the Hippocampus, by Jaime Gómez-Ramirez, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- Research tools and paradigms -- State of the Art: Mathematical approaches in brain science -- The Categorical Imperative: Category theory in Cognitive and Brain Science -- Elementary principles in cognitive systems modeling -- The shift towards structure -- A general framework for representation -- Towards a Theory of Brain Structure and Function -- A theory of hippocampus structure and function based on Category Theory -- From Cells to Memories. A Categorical Approach -- Epilogue
Dimensions
unknown
Extent
1 online resource (213 p.)
Form of item
online
Isbn
9789400777385
Media category
computer
Media type code
c
Other control number
10.1007/978-94-007-7738-5
Specific material designation
remote
System control number
  • (CKB)3710000000075870
  • (EBL)1592128
  • (SSID)ssj0001066486
  • (PQKBManifestationID)11585486
  • (PQKBTitleCode)TC0001066486
  • (PQKBWorkID)11068363
  • (PQKB)10322793
  • (MiAaPQ)EBC1592128
  • (DE-He213)978-94-007-7738-5
  • (EXLCZ)993710000000075870

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