Overview
- Presents a philosophical interpretation to numerical cognition based on dual process theories
- Shows how cognitive science can shed light on issues traditionally raised by philosophers of mathematics
- Offers new insights into the acquisition of mathematical concepts
Part of the book series: SpringerBriefs in Philosophy (BRIEFSPHILOSOPH)
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Table of contents (6 chapters)
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The Cognitive Science of Numbers
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The Transition from System 1 to System 2
Keywords
About this book
The author seeks to explain the acquisition of mathematical concepts. To accomplish this, he needs to answer two questions. How can the concepts of approximate numerosity become an object of thought that is so accessible to our consciousness? How are these concepts refined and specified in such a way as to become numbers? Unfortunately, there is currently no model that can truly demonstrate the role of language in the development of numerical skills starting from approximate pre-verbal skills.
However, the author details a solution to this problem: dual process theories. It is an approach widely used by theorists focusing on reasoning, decision making, social cognition, and consciousness. Here, he applies this approach to the studies on mathematical knowledge. He details the results brought about by psychological and neuroscientific studies conducted on numerical cognition by key neuroscientists. In the process, he develops the foundations of a new, potential philosophical explanation on mathematical knowledge.
Authors and Affiliations
Bibliographic Information
Book Title: Dual-Process Theories of Numerical Cognition
Authors: Mario Graziano
Series Title: SpringerBriefs in Philosophy
DOI: https://doi.org/10.1007/978-3-319-96797-4
Publisher: Springer Cham
eBook Packages: Religion and Philosophy, Philosophy and Religion (R0)
Copyright Information: The Author(s) 2018
Softcover ISBN: 978-3-319-96796-7Published: 20 August 2018
eBook ISBN: 978-3-319-96797-4Published: 12 August 2018
Series ISSN: 2211-4548
Series E-ISSN: 2211-4556
Edition Number: 1
Number of Pages: X, 147
Number of Illustrations: 19 b/w illustrations
Topics: Philosophy of Science, Epistemology, Philosophy of Language, Philosophy of Education