Elementary Set Theory
Textbook & References:
I mostly follow the structure of the following book:
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Thomas Jech. Set Theory: The Third Millennium Edition, Revised and Expanded, Part I. Springer Monographs in Mathematics. Springer-Verlag, Berlin, 2003. (2-in-1 printing version of Part I is available here.)
For more details, I recommend
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Karel Hrbacek, Thomas Jech. Introduction to set theory. M. Dekker, New York, 1978.
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Judith Roitman. Introduction to Modern Set Theory. Pure and applied mathematics. John Wiley & Sons, 1990.
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Wikipedia (en). https://en.wikipedia.org (set theory)
For advanced students, I recommend
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Kenneth Kunen, Set theory, An introduction to independence proofs. Studies in Logic and the Foundations of Mathematics, vol. 102, North-Holland Publishing Company, 1980.
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Kenneth Kunen. Set theory, volume 34 of Studies in Logic (London). College Publications, London, 2011.
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Akihiro Kanamori, The higher infinite. Springer Monographs in Mathematics. Springer-Verlag, Berlin, second edition, 2003.
- Ralf Schindler. Set theory. Exploring independence and truth. Universitext. Springer, Cham, 2014.
Fun materials:
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Logicomix (122Mb).
Other information:
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Email:
nc.ude.unb
xyz @opq ihs
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Teaching assistant: 张书凡(Wed 6:00-9:30pm,教二322)
Updates:
2024-11-26:
- A sample final from the past.
- Final: 11.28, 10am-11:40am @ J7-306
2024-11-21:
- Solutions to takehome midterm and homework 4.1-4.4 are uploaded.
2024-11-14:
- The rest lecture slides are uploaded.
2024-11-07:
2024-10-29:
- Add solutions to homework #4.
2024-10-24:
2024-10-16:
- Solutions to the first three homework are uploaded.
- Take home midterm is on page 33 of Slide #3.
2024-10-15:
2024-09-25:
2024-09-12:
2024-08-26:
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Class starts. Lecture slides for Week 1 are uploaded. (see Files section).
- Here is the tex template (GBK, UTF8) for homework.
The latest CTeX or TeX Live [for Windows], teTeX [for linux], macTeX [for MacOS] are recommended.
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Lecture Slides:
Intro,
01,
02,
03,
04,
04-AD,
05,
06,
07,
08,
09,
final review,
sample final
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Homework Solutions:
01,
02,
03,
04,
midterm,
4.1,
4.2,
4.3,
4.4
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