Against (maddian) naturalized platonism
Philosophia Mathematica 2 (2):97-108 (1994)
| Abstract | It is argued here that mathematical objects cannot be simultaneously abstract and perceptible. Thus, naturalized versions of mathematical platonism, such as the one advocated by Penelope Maddy, are unintelligble. Thus, platonists cannot respond to Benacerrafian epistemological arguments against their view vias Maddy-style naturalization. Finally, it is also argued that naturalized platonists cannot respond to this situation by abandoning abstractness (that is, platonism); they must abandon perceptibility (that is, naturalism) | |||||||||
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Bernard Linsky (2005). Remarks on Platonized Naturalism. Croatian Journal of Philosophy 5 (1):3-15.
David Liggins (2006). Is There a Good Epistemological Argument Against Platonism? Analysis 66 (290):135–141.
Mark Colyvan & Edward N. Zalta (1999). Mathematics: Truth and Fiction? Philosophia Mathematica 7 (3):336-349.
Bernard Linsky & Edward N. Zalta (1995). Naturalized Platonism Versus Platonized Naturalism. Journal of Philosophy 92 (10):525-555.
Greg Restall (2003). Just What is Full-Blooded Platonism? Philosophia Mathematica 11 (1):82--91.
Øystein Linnebo (2009). Platonism in the Philosophy of Mathematics. In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy.
Mark Balaguer (1998). Non-Uniqueness as a Non-Problem. Philosophia Mathematica 6 (1):63-84.
Colin Cheyne (1999). Problems with Profligate Platonism. Philosophia Mathematica 7 (2):164-177.
Mark Balaguer (1998). Platonism and Anti-Platonism in Mathematics. Oxford University Press.
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