Memory Evolutive Systems; Hierarchy, Emergence, CognitionElsevier, 2007 M05 25 - 402 páginas Memory Evolutive Systems; Hierarchy, Emergence, Cognition provides comprehensive and comprehensible coverage of Memory Evolutive Systems (MEM). Written by the developers of the MEM, the book proposes a mathematical model for autonomous evolutionary systems based on the Category Theory of mathematics. It describes a framework to study and possibly simulate the structure of living systems and their dynamic behavior. This book contributes to understanding the multidisciplinary interfaces between mathematics, cognition, consciousness, biology and the study of complexity. It is organized into three parts. Part A deals with hierarchy and emergence and covers such topics as net of interactions and categories; the binding problem; and complexifications and emergence. Part B is about MEM while Part C discusses MEM applications to cognition and consciousness. The book explores the characteristics of a complex evolutionary system, its differences from inanimate physical systems, and its functioning and evolution in time, from its birth to its death. This book is an ideal reference for researchers, teachers and students in pure mathematics, computer science, cognitive science, study of complexity and systems theory, Category Theory, biological systems theory, and consciousness theory. It would also be of interest to both individuals and institutional libraries.
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... CATEGORIES . . . . . . . . . 21 1. Systems Theory and Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.1. Objects and Relations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.2 ...
... category theory, which is a particular domain of mathematics. We have spent some 20 years developing the concepts ... theory and category theory, in collaboration with her well-known mathematician husband, late Charles Ehresmann. In 1980 ...
A C Ehresmann, J.P. Vanbremeersch. constructs. We quickly realized that category theory could provide tools to study concepts germane to complexity, such as the following. (i) The binding problem: how do simple objects bind together to ...
... category theory to problems of cognition and consciousness. In particular, Edelman insists on a notion of degeneracy, which is readily modelled by what we now call the multiplicity principle, and which we place at the basis of emergent ...
... category theory, a subdomain of mathematics introduced by Eilenberg and Mac Lane (1945). This theory has a unique status, at the border between mathematics, logic and meta-mathematics. It was introduced to relate algebraic and ...
Contenido
1 | |
17 | |
Part B Memory Evolutive Systems | 143 |
Part C Application to Cognition and Consciousness | 285 |
Appendix | 353 |
Bibliography | 361 |
List of Figures | 379 |
Index | 383 |
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Memory Evolutive Systems: Hierarchy, Emergence, Cognition Andrée Charles Ehresmann,Jean-Paul Vanbremeersch Sin vista previa disponible - 2007 |
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