## Philosophy of mathematics : selected readings / edited by Paul Benacerraf, Hilary Putnam.

Edition

- 2nd ed.

Published

- Cambridge : Cambridge University Press 1983

Physical description

viii, 600 p. ; 24 cm.

ISBN

- 9780521296489
- 9780521227964

Notes

- Includes bibliographical references (p. 571-600).

Contents

- Symposium on the foundations of mathematics -- 1. The logicist foundations of mathematics / Rudolf Carnap -- 2. The intuitionist foundations of mathematics / Arend Heyting -- 3. The formalist foundations of mathematics / Johann Von Neumann -- Disputation / Arend Heyting -- Intuitionism and formalism / L.E.J. Brouwer -- Consciousness, philosophy, and mathematics / L.E.J. Brouwer -- The philosophical basis of intuitionistic logic / Michael Dummett -- The concept of number / Gottlob Frege -- Selections from Introduction to mathematical philosophy / Bertrand Russell -- On the infinite / David Hilbert -- Remarks on the definition and nature of mathematics / Haskell B. Curry -- Hilbert's programme / Georg Kreisel -- Empiricism, semantics, and ontology / Rudolf Carnap -- On platonism in mathematics / Paul Bernays -- What numbers could not be / Paul Benacerraf -- Mathematics without foundations / Hilary Putnam -- The a priori / Alfred Jules Ayer -- Truth by convention / W.V. Quine -- Carnap and logical truth / W.V. Quine -- On the nature of mathematical reasoning / Henri Poincare -- Mathematical truth / Paul Benacerraf -- Models and reality / Hilary Putnam -- Russell's mathematical logic / Kurt Gödel -- What is Cantor's continuum problem? / Kurt Gödel -- The iterative concept of set / George Boolos -- What is the iterative conception of set? / Charles Parsons -- The concept of set / Hao Wang.

Subject

Other names

Genre

- text

Language

- English

## Holdings information at the University of Liverpool Library

### Requesting live circulation data...Live circulation data is not available.Displaying live circulation data.

Location of copy | Shelfmark | Availability |
---|---|---|

Sydney Jones Library, Grove Wing, Ground Floor | QA9.6.B45 | |

9 | ||

Sydney Jones Library | QA9.6.B45 | |

14 | ||

Sydney Jones Library | QA9.6.B45 | |

7 |

More details about: University of Liverpool Library

## Philosophy of mathematics : selected readings / edited by Paul Benacerraf, Hilary Putnam.

Edition

- Second edition.

Published

- Cambridge : Cambridge University Press 1983

Physical description

1 online resource (viii, 600 pages) : digital, PDF file(s).

ISBN

- 9781139171519
- 9780521227964
- 9780521296489

Notes

- Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Contents

- Symposium on the foundations of mathematics -- 1. The logicist foundations of mathematics / Rudolf Carnap -- 2. The intuitionist foundations of mathematics / Arend Heyting -- 3. The formalist foundations of mathematics / Johann Von Neumann -- Disputation / Arend Heyting -- Intuitionism and formalism / L.E.J. Brouwer -- Consciousness, philosophy, and mathematics / L.E.J. Brouwer -- The philosophical basis of intuitionistic logic / Michael Dummett -- The concept of number / Gottlob Frege -- Selections from Introduction to mathematical philosophy / Bertrand Russell -- On the infinite / David Hilbert -- Remarks on the definition and nature of mathematics / Haskell B. Curry -- Hilbert's programme / Georg Kreisel -- Empiricism, semantics, and ontology / Rudolf Carnap -- On platonism in mathematics / Paul Bernays -- What numbers could not be / Paul Benacerraf -- Mathematics without foundations / Hilary Putnam -- The a priori / Alfred Jules Ayer -- Truth by convention / W.V. Quine -- Carnap and logical truth / W.V. Quine -- On the nature of mathematical reasoning / Henri Poincare -- Mathematical truth / Paul Benacerraf -- Models and reality / Hilary Putnam -- Russell's mathematical logic / Kurt Gödel -- What is Cantor's continuum problem? / Kurt Gödel -- The iterative concept of set / George Boolos -- What is the iterative conception of set? / Charles Parsons -- The concept of set / Hao Wang.

Subject

Other names

- Benacerraf, Paul [editor]
- Putnam, Hilary [editor]

Related item

- Print version: : ; ISBN: 9780521227964.
- http://libanswers.liverpool.ac.uk/faq/182315

Genre

- text

Language

- English

Related Internet Resources

- http://libanswers.liverpool.ac.uk/faq/182315 ; Reading advice (software, printing, accessibility, privacy)

- 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.

## Holdings information at the University of Liverpool Library

### Requesting live circulation data...Live circulation data is not available.Displaying live circulation data.

Location of copy | Shelfmark | Availability |
---|---|---|

Contact University of Liverpool Library | ELECTRONIC BOOK | |

0 |

## Link to external resource:

Resource Link: https://liverpool.idm.oclc.org/login?url=https://doi.org/10.1017/CBO9781139171519 ; <img src="/screens/gifs/go4.gif" alt="Go button" border="0" width="21" height="21" hspace="7" align="middle"> View this e-book online

## Link to external resource:

Resource Link: http://libanswers.liverpool.ac.uk/faq/182315 ; Reading advice (software, printing, accessibility, privacy)

More details about: University of Liverpool Library

## Philosophy of mathematics : selected readings / edited by Paul Benacerraf, Hilary Putnam.

Edition

- Second edition.

Published

- Cambridge : Cambridge University Press 1983

Physical description

1 online resource (viii, 600 pages) : digital, PDF file(s).

ISBN

- 9781139171519
- 9780521227964
- 9780521296489 (paperback)

Notes

- Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Contents

- Symposium on the foundations of mathematics -- 1. The logicist foundations of mathematics / Rudolf Carnap -- 2. The intuitionist foundations of mathematics / Arend Heyting -- 3. The formalist foundations of mathematics / Johann Von Neumann -- Disputation / Arend Heyting -- Intuitionism and formalism / L.E.J. Brouwer -- Consciousness, philosophy, and mathematics / L.E.J. Brouwer -- The philosophical basis of intuitionistic logic / Michael Dummett -- The concept of number / Gottlob Frege -- Selections from Introduction to mathematical philosophy / Bertrand Russell -- On the infinite / David Hilbert -- Remarks on the definition and nature of mathematics / Haskell B. Curry -- Hilbert's programme / Georg Kreisel -- Empiricism, semantics, and ontology / Rudolf Carnap -- On platonism in mathematics / Paul Bernays -- What numbers could not be / Paul Benacerraf -- Mathematics without foundations / Hilary Putnam -- The a priori / Alfred Jules Ayer -- Truth by convention / W.V. Quine -- Carnap and logical truth / W.V. Quine -- On the nature of mathematical reasoning / Henri Poincare -- Mathematical truth / Paul Benacerraf -- Models and reality / Hilary Putnam -- Russell's mathematical logic / Kurt Gödel -- What is Cantor's continuum problem? / Kurt Gödel -- The iterative concept of set / George Boolos -- What is the iterative conception of set? / Charles Parsons -- The concept of set / Hao Wang.

Subject

Other names

- Benacerraf, Paul [editor]
- Putnam, Hilary [editor]

Related item

- Print version: : ; ISBN: 9780521227964.

Genre

- text

Language

- English

## Holdings information at the University of Liverpool Library

### Requesting live circulation data...Live circulation data is not available.Displaying live circulation data.

Location of copy | Shelfmark | Availability |
---|---|---|

Contact University of Liverpool Library | ELECTRONIC BOOK | |

0 |

## Link to external resource:

Resource Link: https://liverpool.idm.oclc.org/login?url=https://doi.org/10.1017/CBO9781139171519 ; <img src="/screens/gifs/go4.gif" alt="Go button" border="0" width="21" height="21" hspace="7" align="middle"> View this e-book online

More details about: University of Liverpool Library

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