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Open colorings,the continuum and the second uncountable cardinal
Open colorings the continuum second uncountable cardinal
2015/8/17
The purpose of this article is to analyze the cardinality of the continuum using Ramsey theoretic statements about open colorings or “open coloring axioms.” In particular I will show that the conjunct...
THE UTILITY OF THE UNCOUNTABLE
UTILITY UNCOUNTABLE
2015/8/17
In my lecture at the 2011 Congress on Logic, Methodology, and the Philosophy of Science in Nancy, France, I spoke on an additional axiom of set theory—the Proper Forcing Axiom—which has proved very su...