Gespeichert in:
| Titel: | Philosophy of mathematics selected readings |
|---|---|
| Von: |
edited by Paul Benacerraf, Hilary Putnam
|
| Person: |
Benacerraf, Paul
Putnam, Hilary 1931-2025 1926-2016 |
| Weitere beteiligte Personen: | , |
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1983
|
| Ausgabe: | Second edition |
| Notation: | CC 2600 SG 700 |
| Schlagwörter: | |
| Medienzugang: | https://doi.org/10.1017/CBO9781139171519 https://doi.org/10.1017/CBO9781139171519 https://doi.org/10.1017/CBO9781139171519 https://doi.org/10.1017/CBO9781139171519 https://doi.org/10.1017/CBO9781139171519 |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Umfang: | 1 Online-Ressource(viii, 600 Seiten) |
| ISBN: | 9781139171519 |
| DOI: | 10.1017/CBO9781139171519 |
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| 505 | 8 | 0 | |t Symposium on the foundations of mathematics |t <<The>> logicist foundations of mathematics |r Rudolf Carnap |t <<The>> intuitionist foundations of mathematics |r Arend Heyting |t <<The>> formalist foundations of mathematics |r Johann Von Neumann |t Disputation |r Arend Heyting |t Intuitionism and formalism |r L.E.J. Brouwer |t Consciousness, philosophy, and mathematics |r L.E.J. Brouwer |t <<The>> philosophical basis of intuitionistic logic |r Michael Dummett |t <<The>> concept of number |r Gottlob Frege |t Selections from Introduction to mathematical philosophy |r Bertrand Russell |t On the infinite |r David Hilbert |t Remarks on the definition and nature of mathematics |r Haskell B. Curry |t Hilbert's programme |r Georg Kreisel |t Empiricism, semantics, and ontology |r Rudolf Carnap |t On platonism in mathematics |r Paul Bernays |t What numbers could not be |r Paul Benacerraf |t Mathematics without foundations |r Hilary Putnam |t <<The>> a priori |r Alfred Jules Ayer |t Truth by convention |r W.V. Quine |t Carnap and logical truth |r W.V. Quine |t On the nature of mathematical reasoning |r Henri Poincare |t Mathematical truth |r Paul Benacerraf |t Models and reality |r Hilary Putnam |t Russell's mathematical logic |r Kurt Gödel |t What is Cantor's continuum problem? |r Kurt Gödel |t <<The>> iterative concept of set |r George Boolos |t What is the iterative conception of set? |r Charles Parsons |t <<The>> concept of set |r Hao Wang |
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Datensatz im Suchindex
| _version_ | 1826484022123954176 |
|---|---|
| adam_text | |
| any_adam_object | |
| author2 | Benacerraf, Paul 1931-2025 Putnam, Hilary 1926-2016 |
| author2_role | edt edt |
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| author_GND | (DE-588)119391686 (DE-588)118823779 |
| author_additional | Rudolf Carnap Arend Heyting Johann Von Neumann L.E.J. Brouwer Michael Dummett Gottlob Frege Bertrand Russell David Hilbert Haskell B. Curry Georg Kreisel Paul Bernays Paul Benacerraf Hilary Putnam Alfred Jules Ayer W.V. Quine Henri Poincare Kurt Gödel George Boolos Charles Parsons Hao Wang |
| author_facet | Benacerraf, Paul 1931-2025 Putnam, Hilary 1926-2016 |
| building | Verbundindex |
| bvnumber | BV043925441 |
| classification_rvk | CC 2600 SG 700 |
| collection | ZDB-20-CBO |
| contents | Symposium on the foundations of mathematics <<The>> logicist foundations of mathematics <<The>> intuitionist foundations of mathematics <<The>> formalist foundations of mathematics Disputation Intuitionism and formalism Consciousness, philosophy, and mathematics <<The>> philosophical basis of intuitionistic logic <<The>> concept of number Selections from Introduction to mathematical philosophy On the infinite Remarks on the definition and nature of mathematics Hilbert's programme Empiricism, semantics, and ontology On platonism in mathematics What numbers could not be Mathematics without foundations <<The>> a priori Truth by convention Carnap and logical truth On the nature of mathematical reasoning Mathematical truth Models and reality Russell's mathematical logic What is Cantor's continuum problem? <<The>> iterative concept of set What is the iterative conception of set? <<The>> concept of set |
| ctrlnum | (ZDB-20-CBO)CR9781139171519 (OCoLC)967486095 (DE-599)BVBBV043925441 |
| dewey-full | 510/.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.1 |
| dewey-search | 510/.1 |
| dewey-sort | 3510 11 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| doi_str_mv | 10.1017/CBO9781139171519 |
| edition | Second edition |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9781139171519 |
| language | English |
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| publishDate | 1983 |
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| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Philosophy of mathematics selected readings edited by Paul Benacerraf, Hilary Putnam Second edition Cambridge Cambridge University Press 1983 1 Online-Ressource(viii, 600 Seiten) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Symposium on the foundations of mathematics <<The>> logicist foundations of mathematics Rudolf Carnap <<The>> intuitionist foundations of mathematics Arend Heyting <<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 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 Mathematik Philosophie Mathematics / Philosophy Grundlage (DE-588)4158388-7 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s 2\p DE-604 Grundlage (DE-588)4158388-7 s 3\p DE-604 Benacerraf, Paul 1931-2025 (DE-588)119391686 edt Putnam, Hilary 1926-2016 (DE-588)118823779 edt Erscheint auch als Druckausgabe 978-0-521-22796-4 Erscheint auch als Druckausgabe 978-0-521-29648-9 https://doi.org/10.1017/CBO9781139171519 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Philosophy of mathematics selected readings Symposium on the foundations of mathematics <<The>> logicist foundations of mathematics <<The>> intuitionist foundations of mathematics <<The>> formalist foundations of mathematics Disputation Intuitionism and formalism Consciousness, philosophy, and mathematics <<The>> philosophical basis of intuitionistic logic <<The>> concept of number Selections from Introduction to mathematical philosophy On the infinite Remarks on the definition and nature of mathematics Hilbert's programme Empiricism, semantics, and ontology On platonism in mathematics What numbers could not be Mathematics without foundations <<The>> a priori Truth by convention Carnap and logical truth On the nature of mathematical reasoning Mathematical truth Models and reality Russell's mathematical logic What is Cantor's continuum problem? <<The>> iterative concept of set What is the iterative conception of set? <<The>> concept of set Mathematik Philosophie Mathematics / Philosophy Grundlage (DE-588)4158388-7 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4158388-7 (DE-588)4045791-6 (DE-588)4037944-9 (DE-588)4143413-4 |
| title | Philosophy of mathematics selected readings |
| title_alt | Symposium on the foundations of mathematics <<The>> logicist foundations of mathematics <<The>> intuitionist foundations of mathematics <<The>> formalist foundations of mathematics Disputation Intuitionism and formalism Consciousness, philosophy, and mathematics <<The>> philosophical basis of intuitionistic logic <<The>> concept of number Selections from Introduction to mathematical philosophy On the infinite Remarks on the definition and nature of mathematics Hilbert's programme Empiricism, semantics, and ontology On platonism in mathematics What numbers could not be Mathematics without foundations <<The>> a priori Truth by convention Carnap and logical truth On the nature of mathematical reasoning Mathematical truth Models and reality Russell's mathematical logic What is Cantor's continuum problem? <<The>> iterative concept of set What is the iterative conception of set? <<The>> concept of set |
| title_auth | Philosophy of mathematics selected readings |
| title_exact_search | Philosophy of mathematics selected readings |
| title_full | Philosophy of mathematics selected readings edited by Paul Benacerraf, Hilary Putnam |
| title_fullStr | Philosophy of mathematics selected readings edited by Paul Benacerraf, Hilary Putnam |
| title_full_unstemmed | Philosophy of mathematics selected readings edited by Paul Benacerraf, Hilary Putnam |
| title_short | Philosophy of mathematics |
| title_sort | philosophy of mathematics selected readings |
| title_sub | selected readings |
| topic | Mathematik Philosophie Mathematics / Philosophy Grundlage (DE-588)4158388-7 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathematik Philosophie Mathematics / Philosophy Grundlage Aufsatzsammlung |
| url | https://doi.org/10.1017/CBO9781139171519 |
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