Platonism and Anti-Platonism in Mathematics
Oxford University Press (1998)
| 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 | ||||||||||
| Buy the book | $34.07 direct from Amazon (25% off) Amazon page | |||||||||
| Call number | QA8.4.B345 1998 | |||||||||
| ISBN(s) | 0195143981 9780195143980 | |||||||||
| Options |
|
|||||||||
| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,679 |
| External links |
|
| Through your library | Configure |
David Liggins (2006). Is There a Good Epistemological Argument Against Platonism? Analysis 66 (290):135–141.
Øystein Linnebo (2008). The Nature of Mathematical Objects. In Bonnie Gold & Roger Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America.
Jm Dieterle (1999). Review of M. Balaguer, Platonism and Anti-Platonism in Mathematics. [REVIEW] British Journal for the Philosophy of Science 50 (4):775-780.
Mary Leng (2005). Platonism and Anti-Platonism: Why Worry? International Studies in the Philosophy of Science 19 (1):65 – 84.
Mary Leng (2002). Review: Mark Balaguer, Platonism and Anti-Platonism in Mathematics. [REVIEW] Bulletin of Symbolic Logic 8 (4):516-518.
Øystein Linnebo (2009). Platonism in the Philosophy of Mathematics. In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy.
J. M. Dieterle (2000). Supervenience and Necessity: A Response to Balaguer. Philosophia Mathematica 8 (3):302-309.
Mark Colyvan & Edward N. Zalta (1999). Mathematics: Truth and Fiction? Philosophia Mathematica 7 (3):336-349.
Greg Restall (2003). Just What is Full-Blooded Platonism? Philosophia Mathematica 11 (1):82--91.
Monthly downloads |
Added to index2009-01-28Total downloads137 ( #3,139 of 549,087 )Recent downloads (6 months)4 ( #19,228 of 549,087 )How can I increase my downloads? |

