Philosophy of mathematics : selected readings / edited by Paul Benacerraf, Hilary Putnam.
Author
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
- 9780521296489 (paperback)
ISRC
- 8788496
ISSN
- 8202-5257
Notes
- Title from publisher's bibliographic system (viewed on 05 Oct 2015).
- 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.
Subject
- Mathematics Philosophy.
- Mathematics Philosophy and theory.
- Mathematics Philosophy.
- Mathematics Philosophy.
- Mathematics
- Physical Sciences & Mathematics
- Mathematical Theory
- Mathématiques Philosophie.
- Mathematics Philosophy.
- Grundlage
- Mathematik
- Philosophie
- Aufsatzsammlung
- Wiskunde.
- Filosofie.
- Matematisk filosofi.
- Mathématiques Philosophie.
- Mathematik.
- Matematikk Filosofi.
- Logic Mathematics.
- Mathematics
Other names
- Benacerraf, Paul [editor]
- Putnam, Hilary [editor]
- British Society for the History of Mathematics
Related item
- 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.
- Electronic books
- text
Language
- English
Internet Resources
- Table of contents http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000568932&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
- Table of contents http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000568932&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
- Table of contents http://catdir.loc.gov/catdir/toc/cam025/82025257.html
- http://find.shef.ac.uk/openurl/44SFD/44SFD_services_page?u.ignore_date_coverage=true&rft.mms_id=9982948442701441 ; Cambridge Core All Books
- Table of contents http://www.gbv.de/dms/hbz/toc/ht002717700.pdf
- Table of contents http://www.loc.gov/catdir/toc/cam025/82025257.html
- https://birmingham-primo.hosted.exlibrisgroup.com/openurl/44BIR/44BIR_VU1?u.ignore_date_coverage=true&rft.mms_id=9933655266204871 ; Cambridge Core All Books
- Cambridge https://doi.org/10.1017/CBO9781139171519
Related Internet Resources
- Publisher description http://catdir.loc.gov/catdir/description/cam022/82025257.html
- http://libanswers.liverpool.ac.uk/faq/182315 ; Reading advice (software, printing, accessibility, privacy)
- Publisher description http://www.loc.gov/catdir/description/cam022/82025257.html
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.
Holding libraries
Summary holdings does not include live availability details. Select a library name for the full Holdings display.
| Location of copy | Shelfmark | Online location | Holdings Notes |
|---|---|---|---|
| University of Aberdeen Libraries: Sir Duncan Rice Library: Floor 5 | Sc 510.1 Ben | ||
| Aberystwyth University Library: External Store | STORE QA8.4.P5 (R4.158) | ||
| Birkbeck, University of London Library: Contact the Library | 510.1 PHI | ||
| University of Birmingham Libraries: Research Reserve [RR], Available on request | B66.5 | ||
| University of Birmingham Libraries | Online location | Cambridge Core All Books | |
| University of Bristol Libraries | Table of contents Online location | ||
| University of Bristol Libraries | Table of contents Online location | ||
| University of Bristol Libraries | Table of contents Online location | ||
| University of Bristol Libraries | Table of contents Online location | ||
| University of Bristol Libraries | Publisher description Online location | ||
| University of Bristol Libraries: Arts & Social Sciences Library | QA8.4 PHI | 7 day loan: vacation loan | |
| University of Bristol Libraries: Queen's Building 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 | |
| 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: Queen's Building Library | QA8.4 PHI | 7 day loan: non-vacation loan | |
| British Library: Lending Collection | 84/06892 | ||
| University of Cambridge Libraries | Table of contents Online location | ||
| University of Cambridge Libraries | Publisher description Online location | ||
| University of Cambridge Libraries: Robinson College: Main Library | 164 BENA | ||
| University of Cambridge Libraries: Trinity Hall: Jerwood Library | 510.1 BEN | ||
| 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 | ||
| University of Cambridge Libraries: Philosophy (Casimir Lewy Library): Main Library | D 33 BEN | ||
| 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 | ||
| University of Cambridge Libraries: Gonville and Caius College Library: Upper Library | 510.1 B | ||
| University of Cambridge Libraries: Fitzwilliam College Library: Floor 0 | AMZ A Ben | ||
| University of Cambridge, King's College: King's College: Main Library | AMA Z 3L Ben | ||
| Cardiff University Libraries | Publisher description Online location | ||
| Cardiff University Libraries | Table of contents Online location | ||
| Cardiff University Libraries: Arts & Social Studies Library: Short Loan Reference | QA9.P4 | ||
| Cardiff University Libraries: Arts & Social Studies Library: 2 week | QA9.P4 | ||
| University of Dundee: Store 1 | 510.1 P 568 | ||
| University of Dundee: Main Library | 510.1 P 568 | ||
| Durham University Library: Bill Bryson Library, Level 3 | 510.1 PHI | ||
| Durham University Library: Contact the Bill Bryson Library | St. Chad's 510.1 BEN | ||
| University of East Anglia Library: Main Library: Main shelves | QA8.4 BEN | ||
| University of East Anglia Library | Online location | ||
| University of Edinburgh Libraries: Main Library (STANDARD LOAN) - 3rd floor | QA8.4 Phi. | ||
| University of Edinburgh Libraries: Main Library (HUB SHORT LOAN) - Ground floor | QA8.4 Phi. | ||
| University of Edinburgh Libraries: Psychology & Philosophy Library | .75 Ben | ||
| University of Essex: Request from store -- Store 2 | QA 9.P5 | ||
| University of Exeter Library: Forum Library | 510.1 PHI | ||
| University of Exeter Library: St Luke's Campus Library | 510.1 BEN | ||
| University of Exeter Library: St Luke's Campus Library | 510.1 BEN | ||
| University of Exeter Library: Forum Library | 510.1 BEN | ||
| University of Exeter Library | Online location | Available online via Cambridge Core. Please log in using your Exeter IT login, if prompted. | |
| 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 | ||
| University of Glasgow Library: University Library Level 5 | Philosophy LC200 BEN | ||
| University of Huddersfield Library: University of Huddersfield Library Floor 5 Loan | 510 PHI | ||
| University of Hull: BJL 3rd Floor | BC 135 P5 | ||
| Imperial College London Library: Central Library: Level 2 | 510.01 PHI | ||
| King's College London Library: Maughan Library ; [Science books] | QA8.4 PHI | Four week | |
| LSE Library: Course collection books | QA8.4 | ||
| University of Liverpool Library | Online location | <img src="/screens/gifs/go4.gif" alt="Go button" border="0" width="21" height="21" hspace="7" align="middle"> View this e-book online | |
| University of Liverpool Library: Contact University of Liverpool Library | ELECTRONIC BOOK | 0 | |
| 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 | |
| University of Liverpool Library | Online location | <img src="/screens/gifs/go4.gif" alt="Go button" border="0" width="21" height="21" hspace="7" align="middle"> View this e-book online | |
| University of Liverpool Library | Online location | Reading advice (software, printing, accessibility, privacy) | |
| University of Liverpool Library: Contact University of Liverpool Library | ELECTRONIC BOOK | 0 | |
| 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 | |||
| Open University Library | Publisher description Online location | ||
| Open University Library | Table of contents Online location | ||
| Open University Library: First Floor Mobile Shelves | 510.1 PHI | ||
| University of Oxford Libraries: St Anne's College Library: Tim Gardam Building | 120 5 | ||
| University of Oxford Libraries: Balliol College Library | Ma 024/02 | ||
| University of Oxford Libraries: Balliol College Library | Ma 024/03 | ||
| 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 | ||
| University of Oxford Libraries: Merton College Library: Old Warden's Lodgings | AKO/BEN(2 ed) | ||
| 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 | ||
| 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 | ||
| University of Oxford Libraries: Philosophy & Theology Faculties Library: First Floor Reading Room Open Shelves | QA8 PHI 1983 | ||
| University of Oxford Libraries: Queen's College Library | QA8.4 .BE | ||
| University of Oxford Libraries: St Edmund Hall Library | A6 BEN:Phi | ||
| University of Oxford Libraries: Somerville College Library | 164 2 | ||
| University of Oxford Libraries: St Peter's College Library: Upper | AM2 A [ben 2] | ||
| University of Oxford Libraries: St Peter's College Library: Upper | AM2 A [ben 2] | ||
| University of Oxford Libraries: St Benet's Hall Library | 510 | ||
| University of Oxford Libraries: St John's College Library | MATH / 00 / BEN | ||
| University of Oxford Libraries: Trinity College Library | Eq 31 | ||
| University of Oxford Libraries: Wadham College Library | B 10 (B) | ||
| University of Oxford Libraries: Wolfson College Library: Floersheimer | 190.9 BEN | ||
| University of Oxford Libraries: Worcester College Library: Upper Library | 15 s 37 (b) | ||
| University of Portsmouth: University Library, First Floor | 510.1 | Standard | |
| Queen Mary University of London Library: Mile End Library | QA8.6 PHI | ORDINARY | |
| Queen's University Belfast: McClay Floor 1 | BC135 | ||
| University of St Andrews Library: Main Library | QA9.B4P8F83 | ||
| University of St Andrews Library: Main Library | QA9.B4P8F83 | ||
| University of St Andrews Library | Online location | Connect to e-book (CUP Collection purchased by the Library until 31st July 2021) | |
| Science Museum Library: Science Museum Library, Wroughton | 510 PHILOSOPHY | ||
| Senate House Library, University of London: Heythrop, Crown | QA9 BEN | ||
| Senate House Library, University of London: Senate House Library HISTORY OF SCIENCE 7th Floor (3) | AMA Phi | ||
| University of Sheffield Library | Online location | ||
| University of Sheffield Library | Online location | Cambridge Core All Books | |
| University of Sheffield Library: Western Bank Library Main sequence | 510.1 (P) | ||
| University of Southampton Library: Hartley Library | QA 9 BEN | ||
| University of Southampton Library: Avenue Library & Learning Commons | QA 9 BEN | ||
| University of Southampton Library | Cambridge Online location | ||
| University of Southampton Library: Internet | Internet | ||
| University of Sussex Library: Main Library | Q 1220 Phi | ||
| Swansea University Libraries: Bay Library : Main | BC132 >BEN2 | ||
| UCL Library Services: UCL Main Library | PHILOSOPHY M 20 BEN | ||
| UCL Library Services: UCL Science Library | HISTORY OF SCIENCE W 20 BEN | ||
| University of Warwick Library: Main Library | QA8.4.P48 | ||
| University of Warwick Library: Main Library | QA8.4.P48 | ||
| University of Warwick Library | Online location | Connect to Cambridge e-book | |
| University of York Libraries: University Library: Morrell - Ordinary | S 0.1 BEN | ||
| Zoological Society of London: MSc Library | AFH | MSc Library - REF ONLY |