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

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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References found in this work BETA

The Nature of Mathematical Knowledge.Philip Kitcher - 1983 - Oxford University Press.
The Structure of Scientific Theories.Frederick Suppe (ed.) - 1974 - Urbana, University of Illinois Press.
Proofs and Refutations.Imre Lakatos - 1980 - Noûs 14 (3):474-478.
Proofs and Refutations (III).Imre Lakatos - 1963 - British Journal for the Philosophy of Science 14 (55):221-245.

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Citations of this work BETA

Thought-Experimentation and Mathematical Innovation.Eduard Glas - 1999 - Studies in History and Philosophy of Science Part A 30 (1):1-19.
Beyond the Methodology of Mathematics Research Programmes.Corfield David - 1998 - Philosophia Mathematica 6 (3):272-301.
Mathematics as a Quasi-Empirical Science.Gianluigi Oliveri - 2004 - Foundations of Science 11 (1-2):41-79.

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Lakatos' Philosophy of Mathematics: A Historical Approach.T. Koetsier - 1991 - Distributors for the U.S. And Canada, Elsevier Science Pub. Co..
Beyond the Methodology of Mathematics Research Programmes.Corfield David - 1998 - Philosophia Mathematica 6 (3):272-301.
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