Mathematics and conceptual analysis

Synthese 161 (1):67–88 (2008)
  Copy   BIBTEX

Abstract

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.

Similar books and articles

The proper province of philosophy.Justin Sytsma - 2010 - Review of Philosophy and Psychology 1 (3):427-445.
Mathematical and philosophical analyses.Robert Rogers - 1964 - Philosophy of Science 31 (3):255-264.
Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
Mathematical activity.M. Giaquinto - 2005 - In Paolo Mancosu, Klaus Frovin Jørgensen & S. A. Pedersen (eds.), Visualization, Explanation and Reasoning Styles in Mathematics. Dordrecht: Springer. pp. 75-87.

Analytics

Added to PP
2009-01-28

Downloads
1,177 (#9,344)

6 months
106 (#32,014)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Antony Eagle
University of Adelaide

References found in this work

Naming and Necessity: Lectures Given to the Princeton University Philosophy Colloquium.Saul A. Kripke - 1980 - Cambridge, MA: Harvard University Press. Edited by Darragh Byrne & Max Kölbel.
Counterfactuals.David K. Lewis - 1973 - Malden, Mass.: Blackwell.
The moral problem.Michael Smith - 1994 - Cambridge, Mass., USA: Blackwell.

View all 44 references / Add more references