Notre Dame Journal of Formal Logic

A Natural Model of the Multiverse Axioms

Victoria Gitman and Joel David Hamkins


If ZFC is consistent, then the collection of countable computably saturated models of ZFC satisfies all of the Multiverse Axioms of Hamkins.

Article information

Notre Dame J. Formal Logic Volume 51, Number 4 (2010), 475-484.

First available in Project Euclid: 29 September 2010

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03E40: Other aspects of forcing and Boolean-valued models 03E99: None of the above, but in this section

set theory multiverse ZFC forcing


Gitman, Victoria; Hamkins, Joel David. A Natural Model of the Multiverse Axioms. Notre Dame J. Formal Logic 51 (2010), no. 4, 475--484. doi:10.1215/00294527-2010-030.

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