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Mathematics; Philosophy

Most popular at the top

  • Figures of Thoughtby David Reed

    Taylor and Francis 2003; US$ 48.95

    Rarely has the history or philosophy of mathematics been written about by mathematicians, and the analysis of mathematical texts themselves has been an area almost entirely unexplored. Figures of Thought looks at ways in which mathematical works can be read as texts, examines their textual strategies and demonstrates that such readings provide a... more...

  • Mathematics and the Image of Reasonby Mary Tiles

    Taylor and Francis 2013; US$ 145.00

    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...

  • Platonism and Anti-Platonism in Mathematicsby Mark Balaguer

    Oxford University Press 1998; US$ 46.99

    A demonstration of the value of both platonism and anti-platonism in the solution of mathematical problems. The author solves the important problems associated with both of the views, and demonstrates that it is inherently impossible for us to have a valid argument for or against mathematical platonism. more...

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

    Oxford University Press 1996; US$ 59.99

    The 17th century saw a dramatic development in mathematical theory and practice. This is an account of the foundational issues raised in the relationship between mathematical advances of the period and the philosophy of mathematics. more...

  • What is Mathematics, Really?by Reuben Hersh

    Oxford University Press 2001; US$ 18.99

    Tries to refine the philosophy of mathematics to reflect what mathematicians really do, and argues that mathematics must be understood in a social context. more...

  • Mathematical Thought and Its Objectsby Charles Parsons

    Cambridge University Press 2007; US$ 40.00

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

  • Logicism, Intuitionism, and Formalismby John Symons; Dirk Dalen

    Springer 2008; US$ 349.00

    Aims to review the programmes in the foundations of mathematics from the classical period and to assess their possible relevance for contemporary philosophy of mathematics. This work is suitable for researchers and graduate students of philosophy, logic, mathematics and theoretical computer science. more...

  • Mathematical Knowledgeby Mary Leng; Alexander Paseau; Michael Potter

    Oxford University Press, UK 2007; US$ 74.99

    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. - ;What is the nature of mathematical knowledge?... more...