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Dual-Process Theories of Numerical Cognition (Paperback, 1st ed. 2018)
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Dual-Process Theories of Numerical Cognition (Paperback, 1st ed. 2018)
Series: SpringerBriefs in Philosophy
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This book presents a philosophical interpretation to numerical
cognition based on dual process theories and heuristics. It shows
how investigations in cognitive science can shed light on issues
traditionally raised by philosophers of mathematics. The analysis
will also help readers to better understand the relationship
between current neuroscientific research and the philosophical
reflection on mathematics. 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.
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