Organizers:
Lior Silberman | Email: lior | @ | math.ubc.ca | MATX 1112 |
Dave Gilbert | Email: dave.gilbert | @ | ubc.ca | BUCH E 360 |
We will study axiomatic set theory, a foundation for mathematics, following Enderton's textbook [1]. Very little background will be assumed. The books by Halmos [2] and Jech [3] are included in UBC's SpringerLink subscription; you can download PDF copies by following the links in the references section while on the UBC network.
Meeting | Title | Speaker | Notes & References | Homework |
---|---|---|---|---|
1. 9/9 | Introduction | Lior Silberman | ||
2. 16/9 | Algebra of Sets | Annie Li | Ch. 2 | PS1 |
3. 23/9 | Relations and functions | Cat Raanes | Ch. 3 | PS2 |
4. 30/9 | The Natural Numbers | Zach Pellegrin | Ch. 4 | PS3 |
5. 7/10 | Equinumerosity and Cardinals | Taeuk Nam | Ch. 6 | PS4 |
6. 21/10 | The Axiom of Choice | Annie Li | Ch. 6 | |
7. 28/10 | (continued) Ordering and well-ordering |
Annie Li Cat Raanes | Ch. 6 Ch. 7 |
PS5 |
8. 4/11 | (continued) | Cat Raanes | Ch. 7 | PS6 |
9. 18/11 | Transfinite Recursion and Ordinal Arithmetic | Zach Pellegrin | Ch. 8 | PS7 |
10. 25/11 | The Universe of Constructible Sets | Taeuk Nam | [3, Ch. 13] |
Author(s) | Title | Data | |
---|---|---|---|
[1] | Enderton | Elements of Set Theory | Academic Press, Cambridge, 1977. xiv+279 pp. ISBN: 978-0122384400, MR: 0439636 |
[2] | Halmos | Naive Set Theory | Springer Verlag, New York, 1974. vii+104 pp. ISBN: 978-0-387-90104-6, MR: 0453532 |
[3] | Jech | Set Theory | Springer Verlag, Berlin, 2003. xiv+769 pp. ISBN: 3-540-44085-2, MR: 1940513 |
Clarification: the writings on these pages are generally my own creations (to which I own the copyright), and are made available for traditional academic reuse. If you wish to republish substantial portions (including in "derivative works") please ask me for permission. The material is expressly excluded from the terms of UBC Policy 81.