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The Wholeness Axioms and V=HOD
Archive for Mathematical Logic 40 (1):1-8 (2001)
Abstract
If the Wholeness Axiom wa $_0$ is itself consistent, then it is consistent with v=hod. A consequence of the proof is that the various Wholeness Axioms are not all equivalent. Additionally, the theory zfc+wa $_0$ is finitely axiomatizableAuthor's Profile
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Citations of this work
Large cardinals need not be large in HOD.Yong Cheng, Sy-David Friedman & Joel David Hamkins - 2015 - Annals of Pure and Applied Logic 166 (11):1186-1198.
Large cardinals and definable well-orders on the universe.Andrew D. Brooke-Taylor - 2009 - Journal of Symbolic Logic 74 (2):641-654.
The spectrum of elementary embeddings j: Vā V.Paul Corazza - 2006 - Annals of Pure and Applied Logic 139 (1):327-399.
Coding into HOD via normal measures with some applications.Arthur W. Apter & Shoshana Friedman - 2011 - Mathematical Logic Quarterly 57 (4):366-372.
The Axiom of Infinity and Transformations j: V ā V.Paul Corazza - 2010 - Bulletin of Symbolic Logic 16 (1):37-84.
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