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  1. Home
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  3. Philosophy of Mathematics
  • Cited by 72
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
1984
Online ISBN:
9781139171519
DOI:
https://doi.org/10.1017/CBO9781139171519
Subjects:
Mathematics, Philosophy of Science, Geometry and Topology, Philosophy
Information

Book description

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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