3 papers
math.LO2015
A position in infinite chess with game value
C. D. A. Evans, Joel David Hamkins, Norman Lewis Perlmutter
We present a position in infinite chess exhibiting an ordinal game value of , thereby improving on the previously largest-known values of and .
math.LO2013
The large cardinals between supercompact and almost-huge
Norman Lewis Perlmutter
I analyze the hierarchy of large cardinals between a supercompact cardinal and an almost-huge cardinal. Many of these cardinals are defined by modifying the definition of a high-ju…
math.LO2011
Generalizations of the Kunen Inconsistency
Joel David Hamkins, Greg Kirmayer, Norman Lewis Perlmutter
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,…