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#### Proofs and Refutations

Cambridge University Press 1976; US$ 48.00Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics. more...

#### Philosophy of Mathematics

Cambridge University Press 1984; US$ 40.00Seminal articles in the philosophy of mathematics by Russell, Quine, Gödel and other major thinkers. more...

#### Harvey Friedman's Research on the Foundations of Mathematics

Elsevier Science 1985; US$ 72.95This volume discusses various aspects of Harvey Friedman's research in the foundations of mathematics over the past fifteen years. It should appeal to a wide audience of mathematicians, computer scientists, and mathematically oriented philosophers. more...

#### Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century

Oxford University Press 1996; US$ 184.99The 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$ 16.99Most 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$ 54.99In 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...

#### Wittgenstein, Finitism, and the Foundations of Mathematics

OUP Oxford 1998; US$ 49.99Mathieu Marion traces the development of Wittgenstein's thinking from the 1920s through to the 1950s, in the context of the mathematical and philosophical work of the time, making sense of ideas that have often been misunderstood. He shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy. more...

#### Mathematics and the Roots of Postmodern Thought

Oxford University Press 2001; US$ 35.99This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares... more...

#### The Limits of Abstraction

Clarendon Press 2002; US$ 38.99Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. The Limits of Abstraction breaks new ground both technically and philosophically, and will be... more...

#### Conceptual Roots of Mathematics

Taylor and Francis 2002; US$ 45.88The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and metaphysics. more...