# Generalizations of the Kunen inconsistency

@article{Hamkins2012GeneralizationsOT, title={Generalizations of the Kunen inconsistency}, author={J. D. Hamkins and Greg Kirmayer and Norman Lewis Perlmutter}, journal={Ann. Pure Appl. Log.}, year={2012}, volume={163}, pages={1872-1890} }

We present several generalizations of the well-known Kunen inconsistency that there is no nontrivial elementary embedding from the set-theoretic universe V to itself. For example, there is no elementary embedding from the universe V to a set-forcing extension V[G], or conversely from V[G] to V, or more generally from one ground model of the universe to another, or between any two models that are eventually stationary correct, or from V to HOD, or conversely from HOD to V, or indeed from any… CONTINUE READING

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