Oxford University Press (1998)
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)|
|Buy the book||$19.95 used (61% off) $26.44 new (49% off) $41.31 direct from Amazon (19% off) Amazon page|
|Call number||QA8.4.B345 1998|
|ISBN(s)||0195143981 9780195143980 9780195122305|
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On What It Takes for There to Be No Fact of the Matter.Jody Azzouni & Otávio Bueno - 2008 - Noûs 42 (4):753-769.
Inference to the Best Explanation and Mathematical Realism.Sorin Ioan Bangu - 2008 - Synthese 160 (1):13-20.
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