Undergraduate Course: Naive and Axiomatic Set Theory (MATH10034)
|School||School of Mathematics
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 10 (Year 4 Undergraduate)
||Availability||Available to all students
|Summary||Course for final year students in Honours programmes in Mathematics.
1. Development in naive set theory of Cantor's basic results.
2. The Schröder-Bernstein Theorem and cardinal arithmetic, including exponentiation.
3. Ordinal number theory, the Axiom of Choice and Zorn's Lemma.
4. Formal axiomatic set theory and the role of the axioms in mathematics, including Power set, Choice, and Replacement.
Entry Requirements (not applicable to Visiting Students)
||Other requirements|| None
Information for Visiting Students
Course Delivery Information
|Not being delivered|
| 1. To understand how to set up the language of set theory.
2. To understand and use the concepts of transfinite cardinal and ordinal arithmetic.
3. To understand an axiom system for set theory.
|Course organiser||Dr Martin Dindos
|Course secretary||Mrs Alison Fairgrieve
Tel: (0131 6)50 5045