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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 220, Pages 5–22 (Mi znsl4277)  
This article is cited in 2 scientific papers (total in 3 papers)

Georg Сantor as the author of constructions playing fundamental roles in constructive mathematics

N. A. Shanin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (1090 kB) Citations (3)
Abstract: 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.
Received: 04.03.1995
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 1, Pages 3183–3191
DOI: https://doi.org/10.1007/BF02358991
Bibliographic databases:
Document Type: Article
UDC: 510.25+510.21
Language: Russian
Citation: N. A. Shanin, “Georg Сantor as the author of constructions playing fundamental roles in constructive mathematics”, Studies in constructive mathematics and mathematical logic. Part IX, Zap. Nauchn. Sem. POMI, 220, POMI, St. Petersburg, 1995, 5–22; J. Math. Sci. (New York), 87:1 (1997), 3183–3191
Citation in format AMSBIB
\Bibitem{Sha95}
\by N.~A.~Shanin
\paper Georg Сantor as the author of constructions playing fundamental roles in constructive mathematics
\inbook Studies in constructive mathematics and mathematical logic. Part~IX
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 220
\pages 5--22
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4277}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374092}
\zmath{https://zbmath.org/?q=an:0934.03076}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 1
\pages 3183--3191
\crossref{https://doi.org/10.1007/BF02358991}
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  • https://www.mathnet.ru/eng/znsl/v220/p5
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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