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Platonism, Naturalism, and Mathematical Knowledge

James Robert Brown
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A01=James Robert Brown
abstract
Abstract Entities
applied mathematics theory
Author_James Robert Brown
Category=PBB
Category=PDA
Category=QDTJ
Category=QDTL
Chicken Sexers
Cloud Chamber
Conceptual Metaphor
continuum
entities
epistemology of science
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eq_nobargain
eq_non-fiction
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Grounding Metaphors
heaven
Human Mathematics
Indispensability Argument
infi
intuition
Large Cardinal Axioms
Linking Metaphors
Local Hidden Variable
Mathematical Entities
Mathematical Intuition
mathematical ontology
Mathematical Perception
Mathematical Practice
mathematical realism
Mathematical Realm
Metaphor Principle
Naive Set Theory
nite
object
Orbital Angular Momentum
Peano Arithmetic
philosophy of mathematical explanation
philosophy of mathematics
Plato's Heaven
Platonic Entities
Platonic Mathematics
platos
Quine's Account
Quine’s Account
scientific concept acquisition
sets
Topological Vector Space
Vice Versa

Product details

  • ISBN 9780415872669
  • Weight: 340g
  • Dimensions: 152 x 229mm
  • Publication Date: 13 Dec 2011
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Description

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.
About James Robert Brown
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.

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