Philosophia Mathematica 6 (3):272-301 (1998)
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In this paper I assess the obstacles to a transfer of Lakatos's methodology of scientific research programmes to mathematics. I argue that, if we are to use something akin to this methodology to discuss modern mathematics with its interweaving theoretical development, we shall require a more intricate construction and we shall have to move still further away from seeing mathematical knowledge as a collection of statements. I also examine the notion of rivalry within mathematics and claim that this appears to be significant only at a high level. In addition, ideas of ‘progress’ in mathematics are outlined.
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DOI | 10.1093/philmat/6.3.272 |
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References found in this work BETA
Women, Fire, and Dangerous Things: What Categories Reveal About the Mind.George Lakoff - 1987 - Philosophy and Rhetoric 22 (4):299-302.
Why Did Einstein's Programme Supersede Lorentz's? (I).Elie Zahar - 1973 - British Journal for the Philosophy of Science 24 (2):95-123.
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Citations of this work BETA
The Importance of Mathematical Conceptualisation.David Corfield - 2001 - Studies in History and Philosophy of Science Part A 32 (3):507-533.
Mathematical Engineering and Mathematical Change.Jean‐Pierre Marquis - 1999 - International Studies in the Philosophy of Science 13 (3):245 – 259.
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