Eudoxus

408 BC-355 BC

Eudoxus of Cnidus solved the foundational crisis arising from the existence of irrational numbers (perhaps uncovered by Hippasus). His solution, constructing real numbers as limits of sequences of ratios of commensurables, was given a "uniqueness" part by Dedekind. Eudoxus' treatment of irrational numbers comprises Book X of Euclid, first chairman of the Mathematics Dept. at the University of Alexandria.

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Document by C. Nehaniv, February 2, 1996
e-mail: nehaniv@u-aizu.ac.jp