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  1. From form to function: A reassessment of Felix Klein's unified programme of mathematical research, education and development.Eduard Glas - 1993 - Studies in History and Philosophy of Science Part A 24 (4):611-631.
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  • Mathematical progress: Between reason and society. [REVIEW]Eduard Glas - 1993 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 24 (2):235-256.
    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 (...)
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  • Mathematical progress: Between reason and society.Eduard Glas - 1993 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 24 (1):43-62.
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  • Kuhn, Lakatos, and the image of mathematics.Eduard Glas - 1995 - Philosophia Mathematica 3 (3):225-247.
    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 (...)
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