Oxford University Press (1998)
Authors |
|
Abstract |
In this book, 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.
|
Keywords | Mathematics Philosophy Platonists |
Categories | (categorize this paper) |
Reprint years | 2001 |
Buy this book | $55.15 from Amazon (11% off) Amazon page |
Call number | QA8.4.B345 1998 |
ISBN(s) | 9780195122305 9780195143980 0195143981 0195122305 |
DOI | 10.2307/3071098 |
Options |
![]() ![]() ![]() ![]() |
Download options
References found in this work BETA
No references found.
Citations of this work BETA
What is the Benacerraf Problem?Justin Clarke-Doane - 2017 - In Fabrice Pataut (ed.), New Perspectives on the Philosophy of Paul Benacerraf: Truth, Objects, Infinity. Springer Verlag.
An Inferential Conception of the Application of Mathematics.Otávio Bueno & Mark Colyvan - 2011 - Noûs 45 (2):345-374.
Abstract Expressionism and the Communication Problem.David Liggins - 2014 - British Journal for the Philosophy of Science 65 (3):599-620.
The Reliability Challenge and the Epistemology of Logic.Joshua Schechter - 2010 - Philosophical Perspectives 24 (1):437-464.
View all 105 citations / Add more citations
Similar books and articles
Is There a Good Epistemological Argument Against Platonism?David Liggins - 2006 - Analysis 66 (2):135–141.
Supervenience and Necessity: A Response to Balaguer.J. M. Dieterle - 2000 - Philosophia Mathematica 8 (3):302-309.
Platonism in the Philosophy of Mathematics.Øystein Linnebo - 2009 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy.
Platonism and Anti‐Platonism: Why Worry?Mary Leng - 2005 - International Studies in the Philosophy of Science 19 (1):65 – 84.
Review of M. Balaguer, Platonism and Anti-Platonism in Mathematics. [REVIEW]Jm Dieterle - 1999 - British Journal for the Philosophy of Science 50 (4):775-780.
The Nature of Mathematical Objects.Øystein Linnebo - 2008 - In Bonnie Gold & Roger Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 205--219.
Analytics
Added to PP index
2009-01-28
Total views
231 ( #37,439 of 2,403,028 )
Recent downloads (6 months)
13 ( #53,255 of 2,403,028 )
2009-01-28
Total views
231 ( #37,439 of 2,403,028 )
Recent downloads (6 months)
13 ( #53,255 of 2,403,028 )
How can I increase my downloads?
Downloads