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Mathematics; Philosophy

Most popular at the top

  • Mathematics and the Image of Reasonby Mary Tiles

    Taylor and Francis 2013; US$ 54.95

    A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic. more...

  • Proof and Knowledge in Mathematicsby Michael Detlefsen

    Taylor and Francis 2005; US$ 54.95

    These questions arise from any attempt to discover an epistemology for mathematics. This collection of essays considers various questions concerning the nature of justification in mathematics and possible sources of that justification. Among these are the question of whether mathematical justification is a priori or a posteriori in character, whether... more...

  • Philosophy of Mathematicsby James Robert Brown

    Taylor and Francis 2005; US$ 36.95

    Philosophy of Mathematics is an excellent introductory text. This student friendly book discusses the great philosophers and the importance of mathematics to their thought. It includes the following topics: * the mathematical image * platonism * picture-proofs * applied mathematics * Hilbert and Godel * knots and nations * definitions * picture-proofs... more...

  • Philosophy of Mathematics and Mathematical Practice in the Seventeenth Centuryby Paolo Mancosu

    Oxford University Press 1996; US$ 64.99 US$ 55.89

    The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, the rules of analytic geometry, geometry of indivisibles, arithmetic of infinites, and calculus were developed. Although many technical studies... more...

  • Platonism and Anti-Platonism in Mathematicsby Mark Balaguer

    Oxford University Press 1998; US$ 49.99 US$ 42.99

    In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism... more...

  • What Is Mathematics, Really?by Reuben Hersh

    Oxford University Press 1997; US$ 16.99 US$ 14.61

    Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals,... more...

  • Philosophy of Mathematicsby James Robert Brown

    Taylor and Francis 2010; US$ 40.95

    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... more...

  • Mathematical Thought and its Objectsby Charles Parsons

    Cambridge University Press 2007; US$ 44.00 US$ 36.08

    In Mathematical Thought and its Objects, Charles Parsons examines the notion of object. more...

  • The Arché Papers on the Mathematics of Abstractionby Roy T. Cook

    Springer Netherlands 2007; US$ 269.00

    InSeptember2000theArchéCentrelauncheda ve-yearresearchprojecten- tled the Logical and Metaphysical Foundations of Classical Mathematics. Its goal was to study the prospects, philosophical and technical, for abstractionist foundations for the classical mathematical theories of the natural, real and complex numbers and standard set theory. Funding was... more...

  • Mathematical Knowledgeby Mary Leng; Alexander Paseau; Michael Potter

    OUP Oxford 2007; US$ 79.99 US$ 68.79

    What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions. more...