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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 44, Issue 3, Pages 571–600
DOI: https://doi.org/10.1070/IM1995v044n03ABEH001614 (Mi im792) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Dialog theory of proofs for arithmetics, analysis and set theory

V. A. Yankov
English version PDF (2072 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM1995v044n03ABEH001614
Abstract: It is shown that in impredicative extensions of intuitionistic arithmetic, “intuitionistic” analysis, and “intuitionistic” Zermelo–Fraenkel set theory with the help of suitable “bar” axioms it is possible to show the consistency of classical arithmetic, classical analysis, and classical set theory. It is argued that the proofs given enable one to verify the true consistency of the classical systems.
Received: 02.07.1992
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1994, Volume 58, Issue 3, Pages 140–168
Bibliographic databases:
UDC: 517.11
MSC: Primary 03F03, 03F55; Secondary 03E35, 03F10, 03E30, 03B20
Language: English
Original paper language: Russian
Citation: V. A. Yankov, “Dialog theory of proofs for arithmetics, analysis and set theory”, Izv. RAN. Ser. Mat., 58:3 (1994), 140–168; Russian Acad. Sci. Izv. Math., 44:3 (1995), 571–600
Citation in format AMSBIB
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\by V.~A.~Yankov
\paper Dialog theory of proofs for arithmetics, analysis and set theory
\jour Izv. RAN. Ser. Mat.
\yr 1994
\vol 58
\issue 3
\pages 140--168
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1995IzMat..44..571Y}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 44
\issue 3
\pages 571--600
\crossref{https://doi.org/10.1070/IM1995v044n03ABEH001614}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RQ68000007}
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  • https://doi.org/10.1070/IM1995v044n03ABEH001614
  • https://www.mathnet.ru/eng/im/v58/i3/p140
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:279
    Russian version PDF:111
    English version PDF:14
    References:51
    First page:2
     
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