Showing math.LOShow all
3 papers · 1 filter
math.LO2004
The Necessary Maximality Principle for c.c.c. forcing is equiconsistent with a weakly compact cardinal
Joel David Hamkins, W. Hugh Woodin
The Necessary Maximality Principle for c.c.c. forcing asserts that any statement about a real in a c.c.c. extension that could become true in a further c.c.c. extension and remain…
math.LO2002
Beyond $\underTildeΣ^2_1$ absoluteness
W. Hugh Woodin
There have been many generalizations of Shoenfield's Theorem on the absoluteness of sentences between uncountable transitive models of . One of the strongest…
math.LO1998
Small forcing creates neither strong nor Woodin cardinals
Joel David Hamkins, W. Hugh Woodin
After small forcing, almost every strongness embedding is the lift of a strongness embedding in the ground model. Consequently, small forcing creates neither strong nor Woodin card…