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Skolem's paradox


 

In mathematical logic, specifically model theory, Skolem's paradox is a direct result of the (downward) Löwenheim-Skolem theorem, which states that every model of a sentence of a first-order language has an elementarily equivalent countable submodel.

References

  • van Dalen, Dirk and Heinz-Dieter Ebbinghaus, "Zermelo and the Skolem Paradox", The Bulletin of Symbolic Logic Volume 6, Number 2, June 2000.
  • Moore, A.W. "Set Theory, Skolem's Paradox and the Tractatus", Analysis 1985, 45.