Math Department (Thesis/2007-08)

Set Theory

Under the direction of: Alan Taylor

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All the mathematics that has ever been done can be derived from a few relatively simple axioms for set theory - the so-called Zermelo-Frankel Axioms with the Axiom of Choice (ZFC). I would like to supervise work that deals with some aspect of these axioms. In particular, I'd like to see a history of the period 1870 - 1970, during which most of the important foundational results in set theory were obtained. I'd also like to see a thesis devoted to an exposition of some of the remarkably paradoxical consequences of the axiom of choice (predicting the future being just one).

Math Department web pages Created: 25 Apr 2007 Last modified: Apr 25, 2007 6:12:11 PM Comments to: math@union.edu

Thesis Topics - W. Zwicker Thesis Topics for 2007-2008 Thesis Topics - K. Plofker