Undergraduate Course: Naive and Axiomatic Set Theory (MATH10034)
Course Outline
| 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 |
| SCQF Credits | 10 |
ECTS Credits | 5 |
| 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. |
| Course description |
Not entered
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | None |
Information for Visiting Students
| Pre-requisites | None |
Course Delivery Information
| Not being delivered |
Learning Outcomes
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.
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Contacts
| Course organiser | Dr Martin Dindos
Tel:
Email: M.Dindos@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
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