Mathematical Principles of Human Conceptual Behavior

The Structural Nature of Conceptual Representation and Processing

Ronaldo Vigo (Autor)

Buch | Softcover

246 Seiten

2016
Psychology Press Ltd (Verlag)
978-1-138-28664-1 (ISBN)

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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 author’s 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.

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.

1. Introduction 2. Concepts and Cognition 3. Process and Structure 4. Categorical Invariance and Logical Manifolds 5. A Cognitive Mechanism for Invariance Detection 6. Principles of Invariance Detection 7. A Law of Invariance in Human Conceptual Behavior 8. On Modal Concepts and Goodness of Pattern 9. Information as a Change in Conceptual Complexity 10. A Path toward Probabilistic Processes and Functional Descriptions 11. Contextual Choice and Structure 12. Concluding Remarks and Open Problems

Erscheinungsdatum	11.05.2017
Reihe/Serie	Scientific Psychology Series
Zusatzinfo	14 Tables, black and white; 20 Line drawings, black and white
Verlagsort	Hove
Sprache	englisch
Maße	152 x 229 mm
Gewicht	453 g
Themenwelt	Geisteswissenschaften ► Psychologie ► Allgemeine Psychologie
	Geisteswissenschaften ► Psychologie ► Verhaltenstherapie
	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Sozialwissenschaften ► Kommunikation / Medien ► Buchhandel / Bibliothekswesen
ISBN-10	1-138-28664-8 / 1138286648
ISBN-13	978-1-138-28664-1 / 9781138286641
Zustand	Neuware