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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Medizin Nichtklinische Fächer A New Foundation for Representation in Cognitive and Brain Science
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A New Foundation for Representation in Cognitive and Brain Science
Jaime Gómez-Ramirez (Taschenbuch, Englisch)
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Beschreibung
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 the validity 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. 160,49 €
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Technische Daten
Erscheinungsdatum
23.08.2016
Sprache
Englisch
EAN
9789402402155
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Springer Series in Cognitive and Neural Systems
Sonderedition
Nein
Autor
Jaime Gómez-Ramirez
Seitenanzahl
193
Einbandart
Taschenbuch
Buch Untertitel
Category Theory and the Hippocampus
Schlagwörter
category theory, cognition, emergence, hippocampus, spatial representation
Thema-Inhalt
PSAN - Neurowissenschaften
PBF - Algebra
QD - Philosophie
MKJ - Neurologie und klinische Neurophysiologie
UYQ - Künstliche Intelligenz
JMM - Biopsychologie, Physiologische Psychologie, Neuropsychologie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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