| Unit name | Set Theory |
|---|---|
| Unit code | MATH32000 |
| Credit points | 20 |
| Level of study | H/6 |
| Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
| Unit director | Professor. Welch |
| Open unit status | Not open |
| Pre-requisites | |
| Co-requisites |
None |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
The theory of sets provides a foundation for all of mathematics. We shall discuss, informally, axioms for sets and develop the theory of infinite ordinal and cardinal numbers and their 'arithmetic'. This refines the idea of 'uncountable'. We shall discuss various undecidable statements in Set Theory, such as the continuum hypothesis: is every set of real numbers either countable or in a 1-1 correspondence with all of R?
