Title: Philosophy of mathematics: selected readings | Author(s): Paul Benacerraf, Hilary Putnam | Publisher: Cambridge University Press | Year: 1983 | Language: English | Pages : 606 | ISBN: 052129648X, 9780521296489, 0521227968 | Size: 6 MB | Extension: djvu The twentieth century has witnessed an unprecedented crisis in the foundations of mathematics, featuring a world-famous paradox (Russells Paradox), a challenge to classical mathematics from a world-famous mathematician (the mathematical intuitionism of Brouwer), a new foundational school (Hilberts Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of mathematical philosophy, associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.
Philosophy of mathematics: selected readings
Title: Philosophy of mathematics: selected readings | Author(s): Paul Benacerraf, Hilary Putnam | Publisher: Cambridge University Press | Year: 1983 | Language: English | Pages : 606 | ISBN: 052129648X, 9780521296489, 0521227968 | Size: 6 MB | Extension: djvu The twentieth century has witnessed an unprecedented crisis in the foundations of mathematics, featuring a world-famous paradox (Russells Paradox), a challenge to classical mathematics from a world-famous mathematician (the mathematical intuitionism of Brouwer), a new foundational school (Hilberts Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of mathematical philosophy, associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.