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JOURNALS // Uspekhi Matematicheskikh Nauk

Uspekhi Mat. Nauk, 1991, Volume 46, Issue 6(282), Pages 3–50 (Mi rm4674)

Undecidable hypotheses in Edward Nelson's internal set theory
V. G. Kanovei

This publication is cited in the following articles:
  1. Karel Hrbacek, Nonstandard Methods and Applications in Mathematics, 2017, 80  crossref
  2. Vladimir Kanovei, Mikhail G. Katz, Thomas Mormann, “Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics”, Found Sci, 2012  crossref
  3. V. G. Kanovei, V. A. Lyubetskii, “Problems in set-theoretic nonstandard analysis”, Russian Math. Surveys, 62:1 (2007), 45–111  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  4. Kanovei V., Reeken M., “Effective Cardinals in the Nonstandard Universe”, Mathematical Logic in Asia, eds. Goncharov S., Downey R., Ono H., World Scientific Publ Co Pte Ltd, 2006, 113–144  crossref  isi
  5. Petr Andreev, Karel Hrbacek, “Standard sets in nonstandard set theory”, J. symb. log., 69:1 (2004), 165  crossref
  6. K Hrbacek, “Realism, nonstandard set theory, and large cardinals”, Annals of Pure and Applied Logic, 109:1-2 (2001), 15  crossref  elib
  7. Vladimir Kanovei, Michael Reeken, “Extending Standard Models of ZFC to Models of Nonstandard Set Theories”, Studia Logica, 64:1 (2000), 37  crossref
  8. Karl-Georg Schlesinger, “Supermanifolds and sequences of computable structures: a link via a nonstandard extension of differential geometry”, Rend Circ Mat Palermo, 48:3 (1999), 563  crossref  mathscinet  zmath
  9. V. G. Kanovei, M. Reeken, “Extension of standard models of ZFC to models of Nelson's nonstandard set theory IST”, Math. Notes, 66:2 (1999), 160–166  mathnet  crossref  crossref  mathscinet  zmath  isi
  10. P. V. Andreev, “On definable predicates of standardness in internal set theory”, Math. Notes, 66:6 (1999), 665–669  mathnet  crossref  crossref  mathscinet  zmath  isi
  11. S. P. Novikov, A. S. Schwarz, “Discrete Lagrangian systems on graphs. Symplectic-topological properties”, Russian Math. Surveys, 54:1 (1999), 258–259  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
  12. Vladimir Kanovei, Michael Reeken, “Elementary Extensions of External Classes in a Nonstandard Universe”, Studia Logica, 60:2 (1998), 253  crossref
  13. Vladimir A. Uspensky, Logic and Scientific Methods, 1997, 457  crossref
  14. Vladimir Kanovei, Michael Reeken, “Internal approach to external sets and universes”, Stud Logica, 56:3 (1996), 293  crossref
  15. Vladimir Kanovei, Michael Reeken, “Internal approach to external sets and universes”, Stud Logica, 55:3 (1995), 347  crossref  mathscinet  zmath  elib
  16. Vladimir Kanovei, Michael Reeken, “Internal approach to external sets and universes”, Stud Logica, 55:2 (1995), 229  crossref  mathscinet  zmath  elib
  17. V. Kanovei, “Uniqueness, collection, and external collapse of cardinals in IST and models of Peano arithmetic”, J. symb. log., 60:1 (1995), 318  crossref


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