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The Relation between Eudoxus’ Theory of Proportions and Dedekind’s Theory of Cuts

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For Dirk Struik

Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 15))

Abstract

The present theory of irrational numbers, developed by Dedekind and Weierstrass, follows mode of thought almost literally, but by using modern arithmetical methods has opened far wider perspectives. (Struik, 1967, p. 46.)

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© 1974 D. Reidel Publishing Company, Dordrecht-Holland

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Nikolić, M. (1974). The Relation between Eudoxus’ Theory of Proportions and Dedekind’s Theory of Cuts. In: Cohen, R.S., Stachel, J.J., Wartofsky, M.W. (eds) For Dirk Struik. Boston Studies in the Philosophy of Science, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2115-9_19

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  • DOI: https://doi.org/10.1007/978-94-010-2115-9_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-0379-8

  • Online ISBN: 978-94-010-2115-9

  • eBook Packages: Springer Book Archive

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