Topic Archive: Columbia University
Professor Gaifman’s first result (obtained when he was a math student) was the equivalence of context-free grammars and categorial grammars. He was Carnap’s research assistant, working on the foundations of probability theory, and got his Ph. D. under Tarski (on infinite Boolean algebras). He worked on a broad spectrum of subjects: in mathematical logic (mostly set theory, where he invented the technique of iterated ultrapowers, and models of Peano’s arithmetic), foundations of probability (where he defined probabilities on first-order and on richer languages), in philosophy of language and philosophy of mathematics, as well as in theoretical computer science.. He held various permanent and visiting positions in mathematics, philosophy and computer science departments. While he was professor of mathematics at the Hebrew University, he taught courses in philosophy and directed the program in History and Philosophy of Science. Gaifman’s recent interests include foundations of probability, rational choice, philosophy of mathematics, logical systems that formalize aspects of natural reasoning, Frege and theories of naming.
The City University of New York
Professor Dolich (Ph.D. 2002 University of Maryland, M.A. Columbia University, B.A. University of Pennsylvania) held a VIGRE Van Vleck Assistant Professorship at the University of Wisconsin, Madison, before coming to the New York area, where he now holds an Assistant Professor position at Kingsborough CC of CUNY. Professor Dolich conducts research in model theory, simple theories, and o-minimal theories with secondary interests in algebraic geometry and set theory.