David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Synthese 161 (1):67–88 (2008)
Gödel argued that intuition has an important role to play in mathematical epistemology, and despite the infamy of his own position, this opinion still has much to recommend it. Intuitions and folk platitudes play a central role in philosophical enquiry too, and have recently been elevated to a central position in one project for understanding philosophical methodology: the so-called ‘Canberra Plan’. This philosophical role for intuitions suggests an analogous epistemology for some fundamental parts of mathematics, which casts a number of themes in recent philosophy of mathematics (concerning a priority and fictionalism, for example) in revealing new light.
|Keywords||Intuitions Platitudes Conceptual analysis Foundations of mathematics Fictionalism|
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References found in this work BETA
George Boolos (1971). The Iterative Conception of Set. Journal of Philosophy 68 (8):215-231.
Hartry Field (1980). Science Without Numbers. Princeton University Press.
Frank Jackson (1998). From Metaphysics to Ethics. Oxford University Press.
Philip Kitcher (1980). A Priori Knowledge. Philosophical Review 89 (1):3-23.
Philip Kitcher (1978). The Plight of the Platonist. Noûs 12 (2):119-136.
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