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

Author
Series
Other titles
  • Cambridge Core
Edition
  • Second edition.
Published
  • Cambridge : Cambridge University Press 1983
Physical description
1 online resource (viii, 600 pages) : digital, PDF file(s).
ISBN
  • 9781139171519
  • 9780521227964 (hardback)
  • 9780521296489 (paperback)
ISRC
  • 8788496
ISSN
  • 8202-5257
Notes
  • Title from publisher's bibliographic system (viewed on 05 Oct 2015).
  • Available through Cambridge books online.
  • Bibliography: p. 571-600.
  • Service provider: Cambridge University Press (EBA)
  • Previous ed. : Prentice-Hall, 1964.
  • Mode of access: World Wide Web.
  • English
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.
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  • Print version: : ; ISBN: 9780521227964
  • http://catdir.loc.gov/catdir/description/cam022/82025257.html
  • http://libanswers.liverpool.ac.uk/faq/182315
  • http://www.loc.gov/catdir/description/cam022/82025257.html
Genre
  • Aufsatzsammlung.
  • Bibliography
  • Electronic books
  • text
Language
  • English
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Summary

  • 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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University of Aberdeen Libraries: Sir Duncan Rice Library: Floor 5 Sc 510.1 Ben
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University of Bristol Libraries: Arts & Social Sciences Library QA8.4 PHI 7 day loan: vacation loan
University of Bristol Libraries: Arts & Social Sciences Library QA8.4 PHI 7 day loan: vacation loan
University of Bristol Libraries: Arts & Social Sciences Library QA8.4 PHI 7 day loan: vacation loan
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University of Cambridge Libraries: Robinson College: Main Library 164 BENA
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University of Cambridge Libraries: University Library: South Front, Floor 4 348:1.c.95.122
University of Cambridge Libraries: Murray Edwards College (Rosemary Murray Library): Main Library 510.1 BEN
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University of Cambridge Libraries: Moore Library: Main Library QA8.4 .P455 1983
University of Cambridge Libraries: Whipple Library: Main Library IB.BEN 1a-c
University of Cambridge Libraries: Needham Research Institute: East Asian History of Science: Main Library C100.71 BEN
University of Cambridge Libraries: Corpus Christi College: Taylor Library K.2.BEN
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Cardiff University Libraries: Arts & Social Studies Library: Short Loan Reference QA9.P4
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University of Glasgow Library: University Library Level 5 Mathematics 0200 1983-P
University of Glasgow Library: University Library Level 3 High Demand Philosophy LC200 BEN
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University of Huddersfield Library: University of Huddersfield Library Floor 5 Loan 510 PHI
University of Hull: BJL 3rd Floor BC 135 P5
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Keele University: Campus Library QA8.4 .B3
King's College London Library: Maughan Library ; [Science books] QA8.4 PHI Four week
LSE Library: Course collection books QA8.4
University of Leeds Library: Laidlaw Library, level 2 Mathematics A-0.05 BEN
University of Leeds Library: Edward Boyle Library, level 11 Mathematics A-0.05 BEN
University of Liverpool Library: Sydney Jones Library, Grove Wing, Ground Floor QA9.6.B45 9
University of Liverpool Library: Sydney Jones Library QA9.6.B45 14
University of Liverpool Library: Sydney Jones Library QA9.6.B45 7
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University of Manchester Library: Main Library: Blue Area Floor 2 510.1
Newcastle University Libraries: Research Reserve: Team Valley (General) Store Mon 2378
University of Nottingham Libraries: Hallward Library
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University of Oxford Libraries: Balliol College Library Ma 024/02
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University of Oxford Libraries: Brasenose College Library E/T 96A
University of Oxford Libraries: St Catherine's College Library 140 BEN (Repr. 1998)
University of Oxford Libraries: Corpus Christi College Library 510.1 Be
University of Oxford Libraries: Continuing Education Library 510.1 BEN
University of Oxford Libraries: Christ Church Library: Library of Congress sequence QA 8.4 BEN 1983
University of Oxford Libraries: Exeter College Library AMA 14p2
University of Oxford Libraries: Hertford College Library B 62/BEN
University of Oxford Libraries: St Hilda's College Library 161 BEN
University of Oxford Libraries: Harris Manchester College Library: Tate Library, Library of Congress Classification QA9 BEN 1983
University of Oxford Libraries: St Hugh's College Library 510.1 PHI
University of Oxford Libraries: Jesus College Library: Lower Meyricke Library Gallery A10 PHI
University of Oxford Libraries: Lincoln College Library 164 Ben
University of Oxford Libraries: Lady Margaret Hall Library: Middle Floor 160 186
University of Oxford Libraries: Magdalen College Library: Longwall Library 511 BEN 1983
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University of Oxford Libraries: Mansfield College Library: PPE Reading Room 1536 BEN
University of Oxford Libraries: New College Library X 1.3 BEN
University of Oxford Libraries: Oriel College Library 116 BEN/983
University of Oxford Libraries: Oriel College Library 116 BEN/983
University of Oxford Libraries: Pembroke College Library P 92 BEN
University of Oxford Libraries: Pembroke College Library P 92 BEN
University of Oxford Libraries: Philosophy & Theology Faculties Library: First Floor Reading Room Open Shelves QA8 PHI 1983
University of Oxford Libraries: Philosophy & Theology Faculties Library: First Floor Reading Room Open Shelves QA8 PHI 1983
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University of Oxford Libraries: Queen's College Library QA8.4 .BE
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University of Oxford Libraries: Somerville College Library 164 2
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University of Oxford Libraries: Worcester College Library: Upper Library 15 s 37 (b)
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