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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... components. Its implementation in the category associates to each vertex of the ... Pi, of a vertex i of sP and its image Pi in K. The distinguished links of ... component of the pattern; see Fig. 2.3.) pair consisting of an index i, and ...
... (Pi)iAI of objects Pi of K, indexed by this set. The objects Pi taken with their index i are the components of the pattern. (ii) for each pair (i, j) of indices, a set of links from Pi to Pj, called the distinguished links of P, from the ...
... components may display some unified behaviour that lends itself to study. We have ... component must be coherent with that of the components to which it is ... Pi to A; Fig. 2.2 A collective link. A collective link from the The Binding ...
... Pi to Pj. The collective link is schematically represented by a cone with vertex A, and whose base is the (image of ... component Pi is 'free' only if there is no distinguished link from or to other components. This restriction ...
... components to operate together in a coherent way. It, therefore, integrates the components into a coherent whole ... component Pi to a 'piece' of cP, then the freedom of these pieces in cP is constrained by the distinguished links of ...
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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