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History of Ancient Mathematics: Some Reflections on the State of the Art

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Classics in the History of Greek Mathematics

Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 240))

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Abstract

THE HISTORY OF MATHEMATICS typically has been written as if to illustrate the adage “anachronism is no vice.” Most contemporary historians of mathematics, being mathematicians by training, assume tacitly or explicitly that mathematical entities reside in the world of Platonic ideas where they wait patiently to be discovered by the genius of the working mathematician. Mathematical concepts, constructive as well as computational, are seen as eternal, unchanging, unaffected by the idiosyncratic features of the culture in which they appear, each one clearly identifiable in its various historical occurrences, since these occurrences represent different clothings of the same Platonic hypostasis.

Denn eben wo Begriffe fehlen Da stellt ein Wort zur rechten Zeit sich ein.

Johann Wolfgang von Goethe

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© 2004 Springer Science+Business Media Dordrecht

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Unguru, S. (2004). History of Ancient Mathematics: Some Reflections on the State of the Art. In: Christianidis, J. (eds) Classics in the History of Greek Mathematics. Boston Studies in the Philosophy of Science, vol 240. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2640-9_25

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  • DOI: https://doi.org/10.1007/978-1-4020-2640-9_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5850-8

  • Online ISBN: 978-1-4020-2640-9

  • eBook Packages: Springer Book Archive

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