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A definable nonstandard model of the reals

  • Vladimir Kanovei (a1) (a2) and Saharon Shelah (a2) (a3)

We prove, in ZFC, the existence of a definable, countably saturated elementary extension of the reals.

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[2] V. Kanovei and M. Reeken , Internal approach to external sets and universes, Part 1, Studia Logica, vol. 55 (1995), no. 2, pp. 229257.

[3] H. J. Keisler , The hyperreal line, Real numbers, generalizations of reals, and theories of continua ( P. Erlich , editor), Kluwer Academic Publishers, 1994, pp. 207237.

[4] W. A. J. Luxemburg , What is nonstandard analysis?, American Mathematics Monthly, vol. 80 (Supplement) (1973), pp. 3867.

[5] R. M. Solovay , A model of set theory in which every set of reals is Lebesgue measurable, Annals of Mathematics, vol. 92 (1970), pp. 156.

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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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