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001 | ocm45733889 | ||
003 | OCoLC | ||
005 | 20200810103850.0 | ||
006 | m o d | ||
007 | cr cn||||||||| | ||
008 | 001009s1998 nyu ob 001 0 eng d | ||
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_a510/.1 _221 |
049 | _aMAIN | ||
100 | 1 | _aBalaguer, Mark. | |
245 | 1 | 0 |
_aPlatonism and anti-Platonism in mathematics / _cMark Balaguer. |
260 |
_aNew York : _bOxford University Press, _c1998. |
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300 | _a1 online resource (x, 217 pages) | ||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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504 | _aIncludes bibliographical references (pages 207-211) and index. | ||
505 | 0 | _aCover -- 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: G�odel -- 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. | |
520 | _aBalaguer 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. | ||
588 | 0 | _aPrint version record. | |
590 |
_aeBooks on EBSCOhost _bEBSCO eBook Subscription Academic Collection - Worldwide |
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650 | 0 |
_aMathematics _xPhilosophy. _0http://id.loc.gov/authorities/subjects/sh85082153 |
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650 | 0 |
_aPlatonists. _0http://id.loc.gov/authorities/subjects/sh85103327 |
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650 | 7 |
_aMATHEMATICS _xHistory & Philosophy. _2bisacsh |
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650 | 7 |
_aMathematics _xPhilosophy. _2fast _0(OCoLC)fst01012213 |
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650 | 7 |
_aPlatonists. _2fast _0(OCoLC)fst01066881 |
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_aWiskunde. _2gtt |
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_aPlatonisme. _2gtt |
655 | 0 | _aElectronic books. | |
655 | 4 | _aElectronic books. | |
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_iPrint version: _aBalaguer, Mark. _tPlatonism and anti-Platonism in mathematics. _dNew York : Oxford University Press, 1998 _z0195122305 _w(DLC) 97033108 _w(OCoLC)37580365 |
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