Set Theory (MAE714)

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School of Science

Academic Unit

Department of Mathematics

Level of Studies


Course Code




Course Title

Set Theory

Independent Teaching Activities

Lectures (Weekly Teaching Hours: 3, Credits: 6)

Course Type

Special Background

Prerequisite Courses -
Language of Instruction and Examinations


Is the Course Offered to Erasmus Students

Yes (in English)

Course Website (URL) See eCourse, the Learning Management System maintained by the University of Ioannina.

Learning Outcomes

Learning outcomes

The plan of the course is an introduction to Axiomatic Set Theory.

General Competences
  • Working independently
  • Team work
  • Production of free, creative and inductive thinking


The construction of the sets of numbers (Natural, Rational and Real numbers), Axioms for the Zermelo-Fraenkel theory, the Axiom of Choice, Zorn's Lemma, Well ordered sets, Ordinal and Cardinal Numbers and arithmetic of them.

Teaching and Learning Methods - Evaluation


Lectures\ Presentations in class

Use of Information and Communications Technology -
Teaching Methods
Activity Semester Workload
Lectures 39
Assignments/Essays 33
Individual study 78
Course total 150
Student Performance Evaluation

Written examination at the end of the semester.

Attached Bibliography

See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:

  • Derek Goldrei, Classical Set Theory
  • Γ. Μοσχοβάκη, Θεωρία Συνόλων
  • R. Vaught, Set Theory, An Introduction
  • Paul Halmos, Naïve Set Theory