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On pitfalls of naturalism

DOI: 10.2298/theo1203033a

Keywords: platonism , naturalism , mathematical intuition , Freiling’s argument

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Abstract:

This paper examines some arguments directed against naturalism in the philosophy of mathematics. These arguments are formulated from the platonistic standpoint with the intention to show that we can coherently describe the faculty of mathematical intuition, which is unacceptable to every kind of naturalism.

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