# A natural model of the multiverse axioms

• V. Gitman and J. D. Hamkins, “A natural model of the multiverse axioms,” Notre Dame J.~Formal Logic, vol. 51, iss. 4, pp. 475-484, 2010.
@ARTICLE{GitmanHamkins2010:NaturalModelOfMultiverseAxioms,
AUTHOR = {Gitman, Victoria and Hamkins, Joel David},
TITLE = {A natural model of the multiverse axioms},
JOURNAL = {Notre Dame J.~Formal Logic},
FJOURNAL = {Notre Dame Journal of Formal Logic},
VOLUME = {51},
YEAR = {2010},
NUMBER = {4},
PAGES = {475--484},
ISSN = {0029-4527},
MRCLASS = {03E40},
MRNUMBER = {2741838},
DOI = {10.1215/00294527-2010-030},
URL = {http://wp.me/p5M0LV-3I},
eprint = {1104.4450},
archivePrefix = {arXiv},
primaryClass = {math.LO},
}

In this article, we prove that if ZFC is consistent, then the collection of countable computably saturated models of ZFC satisfies all of the Multiverse Axioms that I introduced in my paper, “The set-theoretic multiverse.”