Achievements

Daniel W. Cunningham, Mathematics

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Daniel Cunningham's paper "Strong Partition Cardinals and Determinacy in K(R)'' now appears in the latest issue of the journal Archive for Mathematical Logic 54 (1-2): 173–192. The paper shows that within K(R), the existence of strong partition cardinals is equivalent to the axiom of determinacy. K(R) is an inner model that satisfies the axioms of Zermelo-Fraenkel set theory.