**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.

**Language: **EN

**Textbooks:** (Main text) K. Hrbacek and T. Jech, Introduction to Set Theory, third edition, revisited, and expanded, Marcel Dekker, 1999.

(supplementary texts)

• 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.