Cambridge University Press (1964)

Abstract
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.
Keywords Mathematics Philosophy
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Reprint years 1983, 1984, 2012, 2013
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Call number QA8.4.P48 1983
ISBN(s) 0521227968   052129648X   9780521296489   9781107266049   9781139171519   0631083405
DOI 10.2307/2270987
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Ontological Commitment.Agustín Rayo - 2007 - Philosophy Compass 2 (3):428–444.
Plural Quantification Exposed.Øystein Linnebo - 2003 - Noûs 37 (1):71–92.
Platonism in the Philosophy of Mathematics.Øystein Linnebo - forthcoming - Stanford Encyclopedia of Philosophy.

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