Mathematical Principles of Human Conceptual Behavior: The Structural Nature of Conceptual Representation and Processing

ISBN-13: 9781138286641 / Angielski / Miękka / 2016 / 246 str.

Ronaldo Vigo

Opis

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. This volume will introduce a set of general mathematical principles for predicting and explaining conceptual behavior based on seven fundamental constructs of universal science: invariance, complexity, information, similarity, dissimilarity, pattern, and representation.

Spis treści

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

O autorze

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.