David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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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|
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|Call number||QA8.4.B345 1998|
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Citations of this work BETA
Justin Clarke-Doane (2013). What is Absolute Undecidability?†. Noûs 47 (3):467-481.
Joshua Schechter (2010). The Reliability Challenge and the Epistemology of Logic. Philosophical Perspectives 24 (1):437-464.
Chris John Daly (2008). Fictionalism and the Attitudes. Philosophical Studies 139 (3):423 - 440.
Bradley Armour-Garb & James A. Woodbridge (2012). The Story About Propositions. Noûs 46 (4):635-674.
Cian Dorr (2010). Of Numbers and Electrons. Proceedings of the Aristotelian Society 110 (2pt2):133-181.
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