Mathematical Structures of Natural Intelligence
This book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought. In this context, the book explor
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Yair Neuman
Mathematical Structures of Natural Intelligence
Mathematics in Mind Series Editor Marcel Danesi, University of Toronto, Canada
Editorial Board Louis Kauffman, University of Illinois at Chicago, USA Dragana Martinovic, University of Windsor, Canada Yair Neuman, Ben-Gurion University of the Negev, Israel Rafael Núñez, University of California, San Diego, USA Anna Sfard, University of Haifa, Israel David Tall, University of Warwick, United Kingdom Kumiko Tanaka-Ishii, Kyushu University, Japan Shlomo Vinner, Hebrew University, Israel
The monographs and occasional textbooks published in this series tap directly into the kinds of themes, research findings, and general professional activities of the Fields Cognitive Science Network, which brings together mathematicians, philosophers, and cognitive scientists to explore the question of the nature of mathematics and how it is learned from various interdisciplinary angles. This series covers the following complementary themes and conceptualizations: ∙ Connections between mathematical modeling and artificial intelligence research; math cognition and symbolism, annotation, and other semiotic processes; and mathematical discovery and cultural processes, including technological systems that guide the thrust of cognitive and social evolution ∙ Mathematics, cognition, and computer science, focusing on the nature of logic and rules in artificial and mental systems ∙ The historical context of any topic that involves how mathematical thinking emerged, focusing on archeological and philological evidence ∙ Other thematic areas that have implications for the study of math and mind, including ideas from disciplines such as philosophy and linguistics
The question of the nature of mathematics is actually an empirical question that can best be investigated with various disciplinary tools, involving diverse types of hypotheses, testing procedures, and derived theoretical interpretations. This series aims to address questions of mathematics as a unique type of human conceptual system versus sharing neural systems with other faculties, whether it is a seriesspecific trait or exists in some other form in other species, what structures (if any) are shared by mathematics language, and more. Data and new results related to such questions are being collected and published in various peer-reviewed academic journals. Among other things, data and results have profound implications for the teaching and learning of mathematics. The objective is based on the premise that mathematics, like language, is inherently interpretive and explorative at once. In this sense, the inherent goal is a hermeneutical one, attempting to explore and understand a phenomenon—mathematics—from as many scientific and humanistic angles as possible.
More information about this series at http://www.springer.com/series/15543
Yair Neuman
Mathematical Structures of Natural Intelligence
Yair Neuman The Department of Brain and Cognitive Sciences and the Zlotowski Center for Neuroscience Ben-Gurion University of
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