Abstract
It is shown how the historiographic purport of Lakatosian methodology of mathematics is structured on the theme of analysis and synthesis. This theme is explored and extended to the revolutionary phase around 1800. On the basis of this historical investigation it is argued that major innovations, crucial to the appraisal of mathematical progress, defy reconstruction as irreducibly rational processes and should instead essentially be understood as processes of social-cognitive interaction. A model of conceptual change is developed whose essential ingredients are the variability of rational responses to new intellectual and practical challenges arising in the cultural environment of mathematics, and the shifting selective pressure of society. The resulting view of mathematical development is compared with Kuhn's theory of scientific paradigms in the light of some personal communications
Keywords analysis and synthesis  the problem of appraisal revisited  model of socio-cognitive interplay  between Lakatos and Kuhn  the rational and the social
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DOI 10.1007/BF00764388
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References found in this work BETA

The Structure of Scientific Revolutions.Thomas S. Kuhn - 1962 - University of Chicago Press.
The Structure of Scientific Revolutions.Thomas S. Kuhn - 1962 - University of Chicago Press.
Criticism and the Growth of Knowledge.Imre Lakatos & Alan Musgrave (eds.) - 1970 - Cambridge University Press.
The Structure of Scientific Revolutions.David Bohm - 1964 - Philosophical Quarterly 14 (57):377-379.

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Citations of this work BETA

Assaying Lakatos's Philosophy of Mathematics.David Corfield - 1997 - Studies in History and Philosophy of Science Part A 28 (1):99-121.
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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