Traditional Set Theory Quantum Extension of Set Theory. Transfinite oridinals
UDC:
, 510
Subject:
Philosophy of Science (1) Analysis and complexity of algorithms
(2) Qualitative theory of ordinary differential equations
(3) Iterative number theory
(4) Graph theory
(5) Mathematical logic foundations and Set theory
(6) Quantum computation and quantum cryptography
(7) Mathematical linguistics
Biography
1957-1965 Moscow University, studies and dissertation
1966-1968 Institute of Mathematical Economy, Moscow
1969-1978 Institute of Problems of Governance, Moscow
1979-1982 Jerusalem University, Israel
1983-today Strasbourg University, France
Main publications:
Mathematical Infinity, Its Inventors, Discoverers, Detractors, Defenders, Masters, Victims, Users and Spectators. Advancement and Development in Mathematical Sciences, Volume 1 ( 2012 ) , Issue 1 January, pp. 27-72
From Traditional Set Theory – that of Cantor, Hilbert, Gödel, Cohen – to Its Necessary Quantum Extension. Institut des Hautes Études Scientifiques, Bures-sur-Yvette (France), IHES/M/11/18 : http://preprints.ihes.fr/2011/M/M-11-18.pdf \begin{thebibliography}{9}
\Bibitem{1}
\by Edouard Belaga
\paper Effective Polynomial Upper Bounds to Perigees and Numbers of (3x+d)-Cycles of a Given Oddlength.
\jour Acta Arithmetica
\yr 2003
\vol 106
\issue 2
\pages 97-206
\Bibitem{2}
\by Edouard Belaga
\paper Mod 3 Arithmetic over Triangulated Riemann Surfaces, International Workshop on Combinatorics and Computer Science, September 15-18, 2000, Palaiseau.
\jour Theoretical Computer Science
\yr 2001
\vol 263
\pages 123-137
\Bibitem{3}
\by Edouard Belaga
\paper Post-Hilbertian Programme and Its Post-Gödelian Stumbling Block. II : Logical, Phenomenological, and Philosophical Limits of the Set-Theoretical Quest for Mathematical Infinity, Logic Colloquium 2000, July 23-31, Sorbonne.
\jour Bulletin of Symbolic Logic 7, p. 100 (2000/2001)
\yr 2001
\vol 7
\pages 100
\Bibitem{4}
\by Edouard Belaga
\paper Interpreting Semitic Protolanguage as a Conlag or Constructed Language.
\jour US-China Foreign Language
\yr 2014
\vol 12
\issue 3
\pages 183-192
E. G. Belaga, “The reducibility of a system of ordinary differential equations in the neighborhood of a conditionally periodic motion”, Dokl. Akad. Nauk SSSR, 143:2 (1962), 255–258
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