### 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`