Potent Axioms
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This paper suggests alternatives to the ordinary large cardinal axioms of set theory. These axioms can be viewed as generalizations of large cardinals and exhibit many of the same phenomena. They are shown to imply the G.C.H., every set of reals in L ( R ) L({\mathbf {R}}) is Lebesgue measurable, and various results in combinatorics, algebra and model theory.
- Hebrew University of Jerusalem Israel
- Rutgers, The State University of New Jersey United States
- California Institute of Technology United States
Large cardinals, generalizations of large cardinals, ideals, forcing, weak axiom of resemblance, Continuum hypothesis and Martin's axiom, low cardinals, GCH, Consistency and independence results, iterated ultrapowers
Large cardinals, generalizations of large cardinals, ideals, forcing, weak axiom of resemblance, Continuum hypothesis and Martin's axiom, low cardinals, GCH, Consistency and independence results, iterated ultrapowers
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