Platonism, Naturalism, and Mathematical Knowledge

Häftad, Engelska, 2014

Av James Robert Brown, Canada) Brown, James Robert (University of Toronto

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This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does this engaging book present the Platonist-Naturalist debate over mathematics in a comprehensive fashion, but it also sheds considerable light on non-mathematical aspects of a dispute that is central to contemporary philosophy.

Produktinformation

Utgivningsdatum2014-07-03
Mått152 x 229 x 12 mm
Vikt272 g
FormatHäftad
SpråkEngelska
SerieRoutledge Studies in the Philosophy of Science
Antal sidor194
FörlagTaylor & Francis Ltd
ISBN9781138809772

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James Robert Brown is Professor of Philosophy at the University of Toronto. 　His interests include foundational issues in mathematics and physics, thought experiments, and the relations of science to society. Recent books include: Who Rules? An Opinionated Guide to the Epistemology and Politics of the Science Wars, Harvard, and new editions of The Laboratory of the Mind: Thought Experiments in the Natural Sciences,　Routledge, and Philosophy of Mathematics: An Introduction to the World of Proofs and Pictures, Routledge.

"Brown argues that mathematics does not explain physical phenomena in the sense of accounting for them, but that it does explain them in the sense of making them comprehensible...this is a clear and engaging book, mainly for professional philosophers or graduate students in philosophy, that contains many on-target criticisms of naturalism." - A.C. Paseau, Wadham College, University of Oxford, UK in Philosophia Mathematica"Brown’s book is a useful addition to recent debates in the philosophy of mathematics." - Christopher Pincock, The Ohio State University, US in Mind