Student Seminar: Introduction to Set Theory


Lior Silberman Email: lior @ MATX 1112
Dave Gilbert Email: dave.gilbert @ 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
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

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