Title of the course: Introduction to Axiomatic Set Theory
Instructor: Prof. Alexei Muravitsky
Institution: Northwestern State University
Dates: 15-28 July 2019
Prerequisites: There are no special technical prerequisites; however, familiarity with the grammar and terminology of set-theoretic language and that of formal logic would be a great help.
Level: Graduate, advanced undergraduate
Abstract: The course adopts an intuitive stance to the subject (set theory) before launching into formal axiomatic development. This policy is supposed to engender an easy feel for set-theoretic concepts. Prerequisites: There are no special technical prerequisites; however, familiarity with the grammar and terminology of set-theoretic language and that of formal logic would be a great help. E-copies of the books that are listed below will be provided.
Textbooks: (Main text) K. Hrbacek and T. Jech, Introduction to Set Theory, third edition, revisited, and expanded, Marcel Dekker, 1999.
• R. L. Vaught, Set Theory, An Introduction, second edition, Birkhäuser, 1995.
• J. Barwise (editor), Handbook of Mathematical Logic, Elsevier, 1993.
• I. Lavrov and L. Maksimova, Problems in Set Theory, Mathematical Logic and the Theory of Algorithms, Kluwer Academic/Plenum Publishers, 2003.
• A. Levy, Basic Set Theory, Springer-Verlag, 1979.
• J. Malitz, Introduction to Mathematical Logic: Set Theory, Computable Functions, Model Theory, Springer-Verlag New York, Inc., 1979.
• P. Halmos, Naïve Set Theory, Springer-Verlag, 1974.
• M. Hallett, Cantorian Set Theory and Limitation of Size, Clarendon Press, 1984.