Platonism in the Philosophy of Mathematics
In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy (2009)
| Abstract | Platonism about mathematics (or mathematical platonism) is the metaphysical view that there are abstract mathematical objects whose existence is independent of us and our language, thought, and practices. In this survey article, the view is clarified and distinguished from some related views, and arguments for and against the view are discussed. | |||||||||
| Keywords | platonism realism mathematical objects | |||||||||
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Charles Parsons (2008). Mathematical Thought and its Objects. Cambridge University Press.
Jacques Bouveresse (2005). III *-on the Meaning of the Word 'Platonism' in the Expression 'Mathematical Platonism'. Proceedings of the Aristotelian Society 105 (1):55-79.
Jacques Bouveresse (2004). On the Meaning of the Word 'Platonism' in the Expression 'Mathematical Platonism'. Proceedings of the Aristotelian Society 105 (1):55–79.
Mark Balaguer, Fictionalism in the Philosophy of Mathematics. Stanford Encyclopedia of Philosophy.
Mark Colyvan & Edward N. Zalta (1999). Mathematics: Truth and Fiction? Philosophia Mathematica 7 (3):336-349.
Mary Leng (2005). Platonism and Anti-Platonism: Why Worry? International Studies in the Philosophy of Science 19 (1):65 – 84.
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.
Mark Balaguer (1998). Platonism and Anti-Platonism in Mathematics. Oxford University Press.
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