Cargando…

Platonism and anti-Platonism in mathematics /

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 associat...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Balaguer, Mark
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Oxford University Press, 1998.
Temas:
Acceso en línea:Texto completo

MARC

LEADER 00000cam a2200000 a 4500
001 EBSCO_ocm45733889
003 OCoLC
005 20231017213018.0
006 m o d
007 cr cn|||||||||
008 001009s1998 nyu ob 001 0 eng d
040 |a N$T  |b eng  |e pn  |c N$T  |d OCL  |d OCLCQ  |d TUU  |d OCLCQ  |d TNF  |d OCLCQ  |d N5L  |d E7B  |d IDEBK  |d OCLCQ  |d ZCU  |d OCLCO  |d OCLCF  |d OCLCQ  |d NLGGC  |d YDXCP  |d OCLCQ  |d AZK  |d OCLCQ  |d MWM  |d COCUF  |d AGLDB  |d MOR  |d PIFAG  |d OCLCQ  |d SAV  |d OCLCQ  |d QT7  |d U3W  |d LUE  |d STF  |d WRM  |d OCLCQ  |d VTS  |d NRAMU  |d OCLCQ  |d INT  |d VT2  |d TOF  |d OCLCQ  |d WYU  |d TKN  |d OCLCQ  |d M8D  |d JZ6  |d OCLCO  |d OCLCQ  |d YDX  |d OCLCO 
019 |a 533083192  |a 647837036  |a 660003633  |a 748537462  |a 814454665  |a 819509961  |a 821690741  |a 961682236  |a 962604111 
020 |a 0585245673  |q (electronic bk.) 
020 |a 9780585245676  |q (electronic bk.) 
020 |a 0195143981 
020 |a 9780195143980 
020 |a 9780195122305  |q (acid-free paper) 
020 |a 0195122305  |q (acid-free paper) 
020 |a 1280470836 
020 |a 9781280470837 
020 |z 0195122305  |q (acid-free paper) 
024 8 |a ebc272480 
029 1 |a AU@  |b 000051587819 
029 1 |a DEBBG  |b BV043069064 
029 1 |a DEBSZ  |b 422536679 
029 1 |a GBVCP  |b 800731174 
029 1 |a NZ1  |b 15322940 
035 |a (OCoLC)45733889  |z (OCoLC)533083192  |z (OCoLC)647837036  |z (OCoLC)660003633  |z (OCoLC)748537462  |z (OCoLC)814454665  |z (OCoLC)819509961  |z (OCoLC)821690741  |z (OCoLC)961682236  |z (OCoLC)962604111 
050 4 |a QA8.4  |b .B345 1998eb 
072 7 |a MAT  |x 015000  |2 bisacsh 
072 7 |a PBB  |2 bicssc 
082 0 4 |a 510/.1  |2 21 
049 |a UAMI 
100 1 |a Balaguer, Mark. 
245 1 0 |a Platonism and anti-Platonism in mathematics /  |c Mark Balaguer. 
260 |a New York :  |b Oxford University Press,  |c 1998. 
300 |a 1 online resource (x, 217 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references (pages 207-211) and index. 
505 0 |a 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. 
520 |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 
588 0 |a Print version record. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Mathematics  |x Philosophy. 
650 0 |a Platonists. 
650 6 |a Mathématiques  |x Philosophie. 
650 7 |a MATHEMATICS  |x History & Philosophy.  |2 bisacsh 
650 7 |a Mathematics  |x Philosophy  |2 fast 
650 7 |a Platonists  |2 fast 
650 1 7 |a Wiskunde.  |2 gtt 
650 1 7 |a Platonisme.  |2 gtt 
776 0 8 |i Print version:  |a Balaguer, Mark.  |t Platonism and anti-Platonism in mathematics.  |d New York : Oxford University Press, 1998  |z 0195122305  |w (DLC) 97033108  |w (OCoLC)37580365 
856 4 0 |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=23569  |z Texto completo 
936 |a BATCHLOAD 
938 |a YBP Library Services  |b YANK  |n 20447241 
938 |a ebrary  |b EBRY  |n ebr10358396 
938 |a EBSCOhost  |b EBSC  |n 23569 
938 |a ProQuest MyiLibrary Digital eBook Collection  |b IDEB  |n 47083 
938 |a YBP Library Services  |b YANK  |n 3104733 
938 |a YBP Library Services  |b YANK  |n 7119207 
994 |a 92  |b IZTAP