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BRENDAN LARVOR
- What is Dialectical Philosophy of Mathematics?
Philosophia Mathematica 9: 212-229.
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© Oxford University Press
What is Dialectical Philosophy of Mathematics?
*Department of Philosophy, University of Hertfordshire Watford Campus, Wall Hall, Aldenham, Watford, Hertfordshire WD2 8AT England. B.P.Larvor@herts.ac.uk
The late Imre Lakatos once hoped to found a school of dialectical philosophy of mathematics. The aim of this paper is to ask what that might possibly mean. But Lakatos's philosophy has serious shortcomings. The paper elaborates a conception of dialectical philosophy of mathematics that repairs these defects and considers the work of three philosophers who in some measure fit the description: Yehuda Rav, Mary Leng and David Corfield.