Kuhn, Lakatos, and the image of mathematics

Philosophia Mathematica 3 (3):225-247 (1995)

Abstract
In this paper I explore possibilities of bringing post-positivist philosophies of empirical science to bear on the dynamics of mathematical development. This is done by way of a convergent accommodation of a mathematical version of Lakatos's methodology of research programmes, and a version of Kuhn's account of scientific change that is made applicable to mathematics by cleansing it of all references to the psychology of perception. The resulting view is argued in the light of two case histories of radical conceptual innovations
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DOI 10.1093/philmat/3.3.225
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Thought-Experimentation and Mathematical Innovation.E. Glas - 1999 - Studies in History and Philosophy of Science Part A 30 (1):1-19.
Mathematics as a Quasi-Empirical Science.Gianluigi Oliveri - 2004 - Foundations of Science 11 (1-2):41-79.
Mathematical Engineering and Mathematical Change.Jean‐Pierre Marquis - 1999 - International Studies in the Philosophy of Science 13 (3):245 – 259.
The 'Popperian Programme' and Mathematics.Eduard Glas - 2001 - Studies in History and Philosophy of Science Part A 32 (1):119-137.

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