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Module MA346J: Axiomatic Set Theory

Credit weighting (ECTS)
5 credits
Semester/term taught
Hilary term 2018-19
Contact Hours

11 weeks, including tutorials which will be held in lecture slots, and a review period at the end of term.

Lecturer
Prof. Colm Ó Dúnlaing
Learning Outcomes
On successful completion of this module students will be able to
  • Cite the axioms of ZF and apply them.
  • Derive the properties of ordinal numbers.
  • Be familiar with proofs by transfinite induction.
  • Cite the axiom of constructibility and prove its relative consistency.
  • Derive the relative consistency of AC and GCH.
  • Show some knowledge of the Standard Model axiom and the principles of forcing.
  • Extend their knowledge of set theory and forcing.
Module Content
    Refer to course web page.
Module Prerequisite
MA 2361 (computability and logic).
Assessment Detail

2-hour examination in April 2019, and 5 quizzes.