Mathematical progress: Between reason and society [Book Review]

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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References found in this work BETA
Ts Khn (1970). Reflections on My Critics. In Imre Lakatos & Alan Musgrave (eds.), Criticism and the Growth of Knowledge. Cambridge University Press.
Thomas S. Kuhn (1983). Rationality and Theory Choice. Journal of Philosophy 80 (10):563-570.

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Citations of this work BETA
D. Corfield (1997). Assaying Lakatos's Philosophy of Mathematics. Studies in History and Philosophy of Science Part A 28 (1):99-121.
Eduard Glas (2001). The 'Popperian Programme' and Mathematics. Studies in History and Philosophy of Science Part A 32 (1):119-137.
Similar books and articles
Eduard Glas (1993). Mathematical Progress: Between Reason and Society: Part I: The Methodological Model and Its Alternatives. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 24 (1):43 - 62.
Eduard Glas (1993). Mathematical Progress: Between Reason and Society: Part II: The Interplay of Cognitive and Social Factors. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 24 (2):235 - 256.
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