## Philosophy of Mathematics: Selected ReadingsThe 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 Godel. 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 Godel 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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User Review - bbixby1764 - LibraryThingDid not expect to enjoy this as much as I did. First 'read' it for a philosophy class in undergrad. Felt like I was being punished. Little wiser now and a little more edjumucated in things like logic ... Read full review

### Contents

INTRODUCTION | 1 |

DISPUTATION | 55 |

CONSCIOUSNESS PHILOSOPHY AND MATHEMATICS | 78 |

Copyright | |

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### Common terms and phrases

accept according actually already analysis analytic appear applies argument arithmetic assertion axioms become belong calculation called certain clear completely concept concerning consider consistency construction containing convention corresponding counting course defined definition derived described determined discussion elements empirical entities equal essentially evidence example existence experience expressions fact false finite formal formula function further geometry give given hand idea important individual infinite interpretation intuition intuitionist involved kind language laws logical mathematics matter means method namely natural numbers necessary notion objects occur ordinary particular philosophical physical possible predicate present primitive principle problem proof proposition proved purely question real numbers reason reference regard relation require result rules Russell seems sense sentence signs simply speak statement suppose symbols theorem theory things thought tion true truth types understand universe Wittgenstein