David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
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
David K. Lewis (1973). Counterfactuals. Blackwell Publishers.
Saul A. Kripke (1980/1998). Naming and Necessity. Harvard University Press.
Frank Jackson (1998). From Metaphysics to Ethics: A Defence of Conceptual Analysis. Oxford University Press.
Saul Kripke (2010). Naming and Necessity. In Darragh Byrne & Max Kölbel (eds.), Philosophy. Routledge 431-433.
Citations of this work BETA
Thomas Donaldson (2015). Platitudes in Mathematics. Synthese 192 (6):1799-1820.
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