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Controversies about Numbers and Functions

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The Growth of Mathematical Knowledge

Part of the book series: Synthese Library ((SYLI,volume 289))

Abstract

During the past decades several attempts have been made to reconsider the development of mathematics or the growth of mathematical knowledge from some unifying perspectives. Lakatos’ notion of “research programs” represents one such attempt. He did not find followers to pursue the matter beyond the few, and rather narrow, case studies he himself considered. A more recent attempt, still under discussion, was provoked by Kuhn’s work and led to the Crowe-Dauben debate on revolutions in mathematics.

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© 2000 Springer Science+Business Media Dordrecht

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Laugwitz, D. (2000). Controversies about Numbers and Functions. In: Grosholz, E., Breger, H. (eds) The Growth of Mathematical Knowledge. Synthese Library, vol 289. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9558-2_13

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  • DOI: https://doi.org/10.1007/978-94-015-9558-2_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5391-6

  • Online ISBN: 978-94-015-9558-2

  • eBook Packages: Springer Book Archive

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