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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... correlated through their distinguished links. More formally: Definition. Let P be a pattern in the category K. A collective link from P towards an object A of K is defined as a family F 1⁄4 (fi)ieI of individual links of K such that ...
... correlated by the distinguished links of the pattern. Thus, for each arrow x from i to j in the sketch sP of P, we ... correlation equations). If there is also a distinguished link from Pj to Pi, both components must reach an accord. A ...
... correlated by d0. constraints are imposed on a collective link by the correlating equations, and the smaller is the ... correlation equations f 1 1⁄4 d0f4 (but not f1 1⁄4 df 2 and f3 1⁄4 d0f2 nor f3 1⁄4 df4). 1.3. Operating Field of a ...
... correlate from P to A0 are defined F and F0, i.e. such as by the links h from A to A0 in K fih 1⁄4 fi0 for each index i of P. There exists a 'base' functor from the operating field ΩP of P toward the category K, which maps F to its ...
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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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