Platonism and anti-Platonism in mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York
Oxford University Press
1998
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| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 207-211) and index Cover -- Contents -- 1 Introduction -- 1. The Project of This Book -- 2. Mathematical Platonism and Anti-Platonism -- 3. Synopsis of the Book -- ONE: Platonism -- 2 The Epistemological Argument Against Platonism -- 1. Introduction -- 2. Formulating the Epistemological Argument -- 3. A Taxonomy of Platonist Responses -- 4. Contact with Other Worlds: Gödel -- 5. Contact in This World: Maddy -- 6. Knowledge Without Contact -- 3 A New Platonist Epistemology -- 1. Introduction -- 2. Skeleton of the Refutation of the Epistemological Argument -- 3. Internalist vs. Externalist Explanations -- 4. Defending and Motivating FBP -- 5. Consistency -- 4 Non-Uniqueness Embraced -- 1. Introduction -- 2. Trying to Salvage the Numbers -- 3. Structuralism -- 4. The Solution -- 5. Two Loose Ends -- TWO: Anti-Platonism -- 5 The Fregean Argument Against Anti-Platonism -- 1. Introduction -- 2. The Argument -- 3. In Defense of Fictionalism -- 4. Nonfictionalistic Versions of Anti-Realistic Anti-Platonism -- 5. The Refutation of Realistic Anti-Platonism -- 6. Platonism and the Issue of Applicability and Indispensability -- 6 Denying the Existence of Indispensable Applications: Toward a Nominalization of Quantum Mechanics -- 1. Introduction -- 2. How Field Nominalizes -- 3. Malament's Objection -- 4. The Strategy for Nominalizing QM -- 5. The Nominalistic Status of Propensities -- 7 Accounting for Indispensable Applications from a Fictionalist Point of View -- 1. Introduction -- 2. What, Exactly, Needs to Be Accounted For? -- 3. A Fictionalist Account of the Applicability of Mathematics -- 4. Problems with Platonism Revisited -- THREE: Conclusions -- 8 The Unsolvability of the Problem and a Kinder, Gentler Positivism -- 1. Introduction -- 2. The Strong Epistemic Conclusion -- 3. The Metaphysical Conclusion -- 4. My Official View -- Notes -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W. Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks, most notably the Quine-Putnam indispensability attack. He concludes by arguing that it is not simply that we do not currently have any good argument for or against platonism, but that we could never have such an argument and, indeed, that there is no fact of the matter as to whether platonism is correct |
| Beschreibung: | 1 Online-Ressource (x, 217 pages) |
| ISBN: | 0195122305 0195143981 0585245673 1280470836 9780195122305 9780195143980 9780585245676 9781280470837 |
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| 500 | |a Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks, most notably the Quine-Putnam indispensability attack. He concludes by arguing that it is not simply that we do not currently have any good argument for or against platonism, but that we could never have such an argument and, indeed, that there is no fact of the matter as to whether platonism is correct | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Balaguer, Mark |
| author_facet | Balaguer, Mark |
| author_role | aut |
| author_sort | Balaguer, Mark |
| author_variant | m b mb |
| building | Verbundindex |
| bvnumber | BV043069064 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)45733889 (DE-599)BVBBV043069064 |
| 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 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:16:29Z |
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| publisher | Oxford University Press |
| record_format | marc |
| spelling | Balaguer, Mark Verfasser aut Platonism and anti-Platonism in mathematics Mark Balaguer New York Oxford University Press 1998 1 Online-Ressource (x, 217 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 207-211) and index Cover -- Contents -- 1 Introduction -- 1. The Project of This Book -- 2. Mathematical Platonism and Anti-Platonism -- 3. Synopsis of the Book -- ONE: Platonism -- 2 The Epistemological Argument Against Platonism -- 1. Introduction -- 2. Formulating the Epistemological Argument -- 3. A Taxonomy of Platonist Responses -- 4. Contact with Other Worlds: Gödel -- 5. Contact in This World: Maddy -- 6. Knowledge Without Contact -- 3 A New Platonist Epistemology -- 1. Introduction -- 2. Skeleton of the Refutation of the Epistemological Argument -- 3. Internalist vs. Externalist Explanations -- 4. Defending and Motivating FBP -- 5. Consistency -- 4 Non-Uniqueness Embraced -- 1. Introduction -- 2. Trying to Salvage the Numbers -- 3. Structuralism -- 4. The Solution -- 5. Two Loose Ends -- TWO: Anti-Platonism -- 5 The Fregean Argument Against Anti-Platonism -- 1. Introduction -- 2. The Argument -- 3. In Defense of Fictionalism -- 4. Nonfictionalistic Versions of Anti-Realistic Anti-Platonism -- 5. The Refutation of Realistic Anti-Platonism -- 6. Platonism and the Issue of Applicability and Indispensability -- 6 Denying the Existence of Indispensable Applications: Toward a Nominalization of Quantum Mechanics -- 1. Introduction -- 2. How Field Nominalizes -- 3. Malament's Objection -- 4. The Strategy for Nominalizing QM -- 5. The Nominalistic Status of Propensities -- 7 Accounting for Indispensable Applications from a Fictionalist Point of View -- 1. Introduction -- 2. What, Exactly, Needs to Be Accounted For? -- 3. A Fictionalist Account of the Applicability of Mathematics -- 4. Problems with Platonism Revisited -- THREE: Conclusions -- 8 The Unsolvability of the Problem and a Kinder, Gentler Positivism -- 1. Introduction -- 2. The Strong Epistemic Conclusion -- 3. The Metaphysical Conclusion -- 4. My Official View -- Notes -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W. Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks, most notably the Quine-Putnam indispensability attack. He concludes by arguing that it is not simply that we do not currently have any good argument for or against platonism, but that we could never have such an argument and, indeed, that there is no fact of the matter as to whether platonism is correct MATHEMATICS / History & Philosophy bisacsh Mathematics / Philosophy fast Platonists fast Platonists Mathematics / Philosophy Wiskunde gtt Platonisme gtt Mathematik Philosophie Mathematics Philosophy Platonismus (DE-588)4046303-5 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s 1\p DE-604 Platonismus (DE-588)4046303-5 s 2\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=23569 Aggregator 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 |
| spellingShingle | Balaguer, Mark Platonism and anti-Platonism in mathematics MATHEMATICS / History & Philosophy bisacsh Mathematics / Philosophy fast Platonists fast Platonists Mathematics / Philosophy Wiskunde gtt Platonisme gtt Mathematik Philosophie Mathematics Philosophy Platonismus (DE-588)4046303-5 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4046303-5 (DE-588)4045791-6 (DE-588)4037944-9 |
| title | Platonism and anti-Platonism in mathematics |
| title_auth | Platonism and anti-Platonism in mathematics |
| title_exact_search | Platonism and anti-Platonism in mathematics |
| title_full | Platonism and anti-Platonism in mathematics Mark Balaguer |
| title_fullStr | Platonism and anti-Platonism in mathematics Mark Balaguer |
| title_full_unstemmed | Platonism and anti-Platonism in mathematics Mark Balaguer |
| title_short | Platonism and anti-Platonism in mathematics |
| title_sort | platonism and anti platonism in mathematics |
| topic | MATHEMATICS / History & Philosophy bisacsh Mathematics / Philosophy fast Platonists fast Platonists Mathematics / Philosophy Wiskunde gtt Platonisme gtt Mathematik Philosophie Mathematics Philosophy Platonismus (DE-588)4046303-5 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | MATHEMATICS / History & Philosophy Mathematics / Philosophy Platonists Wiskunde Platonisme Mathematik Philosophie Mathematics Philosophy Platonismus |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=23569 |
| work_keys_str_mv | AT balaguermark platonismandantiplatonisminmathematics |