Undergraduate Course: Naive and Axiomatic Set Theory (MATH10034)
Course Outline
School | School of Mathematics |
College | College of Science and Engineering |
Course type | Standard |
Availability | Available to all students |
Credit level (Normal year taken) | SCQF Level 10 (Year 4 Undergraduate) |
Credits | 10 |
Home subject area | Mathematics |
Other subject area | Specialist Mathematics & Statistics (Honours) |
Course website |
https://info.maths.ed.ac.uk/teaching.html |
Taught in Gaelic? | No |
Course description | 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)
Pre-requisites |
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Co-requisites | |
Prohibited Combinations | |
Other requirements | None |
Additional Costs | None |
Information for Visiting Students
Pre-requisites | None |
Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
Not being delivered |
Summary of Intended 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. |
Assessment Information
Coursework 20%, Examination 80% |
Special Arrangements
None |
Additional Information
Academic description |
Not entered |
Syllabus |
Not entered |
Transferable skills |
Not entered |
Reading list |
Not entered |
Study Abroad |
Not entered |
Study Pattern |
Not entered |
Keywords | NAS |
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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