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#### Wittgenstein's Philosophy of Mathematics

Taylor and Francis 2006; US$ 54.95Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of... more...

#### Proof and Knowledge in Mathematics

Taylor and Francis 2005; US$ 54.95These 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 Mathematics

Taylor and Francis 2005; US$ 36.95Philosophy 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 Century

Oxford University Press 1996; US$ 64.99 US$ 55.89The 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...

#### What Is Mathematics, Really?

Oxford University Press 1997; US$ 16.99 US$ 14.61Most 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...

#### Platonism and Anti-Platonism in Mathematics

Oxford University Press 1998; US$ 49.99 US$ 42.99In 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...

#### Mathematical Thought and its Objects

Cambridge University Press 2007; US$ 44.00 US$ 36.08In Mathematical Thought and its Objects, Charles Parsons examines the notion of object. more...

#### Philosophy of Mathematics

Taylor and Francis 2010; US$ 40.95In 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...

#### The Arché Papers on the Mathematics of Abstraction

Springer Netherlands 2007; US$ 190.94InSeptember2000theArchéCentrelauncheda 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 Knowledge

OUP Oxford 2007; US$ 79.99 US$ 68.79What 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...