The Wholeness Axioms and V=HOD |
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| Authors: | Joel David Hamkins |
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| Institution: | (1) Kobe University, Graduate School of Science and Technology, Rokko-Dai, Nada-Ku, 657 Kobe, Japan , JP;(2) The Graduate Center of the City University of New York, 365 Fifth Avenue, New York, NY 10016, USA. jhamkins@gc.cuny.edu; http://www.math.csi.cuny.edu/˜hamkins , US |
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| Abstract: | If the Wholeness Axiom wa
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
is finitely axiomatizable.
Received: 16 February 1999 / Revised version: 1 June 1999 |
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