A natural model of the multiverse axioms

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V. Gitman and J. D. Hamkins, “A natural model of the multiverse axioms,” Notre Dame J. Form. Log., vol. 51, no. 4, pp. 475–484, 2010. Available at: http://dx.doi.org/10.1215/00294527-2010-030

If ${\rm ZFC}$ is consistent, then the collection of countable computably saturated models of ${\rm ZFC}$ satisfies all of the Multiverse Axioms of [1].


  1. J. D. Hamkins, “The set-theoretic multiverse,” Rev. Symb. Log., vol. 5, no. 3, pp. 416–449, 2012. Available at: https://doi.org/10.1017/S1755020311000359