The Set-Theoretic Multiverse

@article{Hamkins2012TheSM,
  title={The Set-Theoretic Multiverse},
  author={J. D. Hamkins},
  journal={Rev. Symb. Log.},
  year={2012},
  volume={5},
  pages={416-449}
}
  • J. D. Hamkins
  • Published 2012
  • Philosophy, Computer Science, Mathematics
  • Rev. Symb. Log.
  • The multiverse view in set theory, introduced and argued for in this article, is the view that there are many distinct concepts of set, each instantiated in a corresponding set-theoretic universe. The universe view, in contrast, asserts that there is an absolute background set concept, with a corre- sponding absolute set-theoretic universe in which every set-theoretic question has a definite answer. The multiverse position, I argue, explains our expe- rience with the enormous range of set… CONTINUE READING
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