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On Some Determinants of Mathematical Progress

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The Growth of Mathematical Knowledge

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

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Abstract

Progress defined within a discipline is not a homogeneous phenomenon; it is rather the sum total (assembled from time to time, and often very belatedly) of progressive steps taken in different parts of the discipline and in different respects. The identification of progress in a mathematical discipline is rendered difficult by the considerable changes the discipline undergoes throughout its history (and will no doubt continue to undergo in the future). This paper will investigate six factors or determinants of progress in some areas of mathematics, including mathematical logic.

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Thiel, C. (2000). On Some Determinants of Mathematical Progress. 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_28

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  • DOI: https://doi.org/10.1007/978-94-015-9558-2_28

  • 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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