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E-raamat: Mathematical Principles of Human Conceptual Behavior: The Structural Nature of Conceptual Representation and Processing [Taylor & Francis e-raamat]

(Ohio University, USA)
  • Formaat: 260 pages, 14 Tables, black and white; 20 Line drawings, black and white
  • Sari: Scientific Psychology Series
  • Ilmumisaeg: 28-Oct-2014
  • Kirjastus: Psychology Press Ltd
  • ISBN-13: 9781315882772
  • Taylor & Francis e-raamat
  • Hind: 166,18 €*
  • * hind, mis tagab piiramatu üheaegsete kasutajate arvuga ligipääsu piiramatuks ajaks
  • Tavahind: 237,40 €
  • Säästad 30%
  • Formaat: 260 pages, 14 Tables, black and white; 20 Line drawings, black and white
  • Sari: Scientific Psychology Series
  • Ilmumisaeg: 28-Oct-2014
  • Kirjastus: Psychology Press Ltd
  • ISBN-13: 9781315882772
The ability to learn concepts lies at the very core of human cognition, enabling us to efficiently classify, organize, identify, and store complex information. In view of the basic role that concepts play in our everyday physical and mental lives, the fields of cognitive science and psychology face three long standing challenges: discovering the laws that govern concept learning and categorization behavior in organisms, showing how they inform other areas of cognitive research, and describing them with the mathematical systematicity and precision found in the physical sciences. In light of these theoretical and methodological shortcomings, this volume will introduce a set of general mathematical principles for predicting and explaining conceptual behavior.

The authors theory is based on seven fundamental constructs of universal science: invariance, complexity, information, similarity, dissimilarity, pattern, and representation. These constructs are joined by a novel mathematical framework that does not depend on probability theory, and derives key results from conceptual behavior research with other key areas of cognitive research such as pattern perception, similarity assessment, and contextual choice. The result is a unique and systematic unifying foundation for cognitive science in the tradition of classical physics.
Preface xi
1 Introduction
1(11)
2 Concepts and Cognition
12(18)
3 Process and Structure
30(24)
4 Categorical Invariance and Logical Manifolds
54(24)
5 A Cognitive Mechanism for Invariance Detection
78(13)
6 Principles of Invariance Detection
91(19)
7 A Law of Invariance in Human Conceptual Behavior
110(35)
8 On Modal Concepts and Goodness of Pattern
145(8)
9 Information as Change in Conceptual Complexity
153(25)
10 A Path toward Probabilistic Processes and Functional Descriptions
178(14)
11 Contextual Choice and Concept Structure
192(6)
12 Concluding Remarks and Open Problems
198(12)
Appendices 210(25)
References 235(8)
Index 243
Ronaldo Vigo is Associate Professor of Mathematical & Computational Cognitive Science at Ohio University, USA, where he is also director of the Center for the Advancement of Cognitive Science. He received his doctoral degree on Mathematical & Computational Cognitive Science from Indiana University at Bloomington.