Philosophy of Mathematics

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A01=James Robert Brown
Author_James Robert Brown
Cantor's Continuum Hypothesis
Cantor’s Continuum Hypothesis
Category=PBB
Classical Mathematics
computational proof methods
conjecture
constructivist approaches
Continued Fractions
Conway Notation
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
formal systems logic
goldbach's
Goldbach's Conjecture
Goldbach’s Conjecture
Hilbert Space
Hilbert's Programme
Hilbert’s Programme
mathematical
mathematical epistemology
Mathematical Image
mathematical ontology
Mathematical Realm
Mersenne Primes
natural
Natural Numbers
number
Odd Perfect Number
Ordinal Number
paradox
Peano Axioms
Perfect Numbers
Picture Proof
Pre-analytic Concept
pythagorean
Rational Conjecture
realm
Reidemeister Moves
russells
Set
Straight Edge
Symbolic Proof
theorem
Thought Experiment
Unlabelled Graph
Vice Versa
visual proof techniques in mathematics
visual reasoning mathematics

Product details

  • ISBN 9780415960489
  • Weight: 650g
  • Dimensions: 156 x 234mm
  • Publication Date: 15 Jan 2008
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value?

This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics such as formalism, Platonism, and constructivism. The combination of topics and clarity of presentation make it suitable for beginners and experts alike. The revised and updated second edition of Philosophy of Mathematics contains more examples, suggestions for further reading, and expanded material on several topics including a novel approach to the continuum hypothesis.

James Robert Brown is Professor of Philosophy at the University of Toronto, Canada.

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