The twentieth century has witnessed an unprecedented ‘crisis in the foundations of mathematics’ featuring a world-famous paradox (Russell’s Paradox) a challenge to ‘classical’ mathematics from a world-famous mathematician (the ‘mathematical intuitionism’ of Brouwer) a new foundational school (Hilbert’s 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.
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