Geodesic
Georg Сantor as the author of constructions playing fundamental roles in constructive mathematics
Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IX, Tome 220 (1995), pp. 5-22 
N. A. Shanin. Georg Сantor as the author of constructions playing fundamental roles in constructive mathematics. Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IX, Tome 220 (1995), pp. 5-22. http://geodesic.mathdoc.fr/item/ZNSL_1995_220_a0/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

An extended version of the author's talk at the meeting of the St. Petersburg Mathematical Society (March 3, 1995), dedicated to the 150th anniversary of G. Cantor's birth, is presented. The following inventions of Cantor and their roles in constructive mathematics are discussed: the system of notation for order-types less than $\varepsilon_0$, a constructive (in essence) definition of the notion of real number, and Cantor's “diagonal” construction. Bibliography: 22 titles.