Elementary Set Theory

Textbook & References:

    I mostly follow the structure of the following book:

  • 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

  • Karel Hrbacek, Thomas Jech. Introduction to set theory. M. Dekker, New York, 1978.
  • Judith Roitman. Introduction to Modern Set Theory. Pure and applied mathematics. John Wiley & Sons, 1990.
  • Wikipedia (en). https://en.wikipedia.org (set theory)
  • For advanced students, I recommend

  • Kenneth Kunen, Set theory, An introduction to independence proofs. Studies in Logic and the Foundations of Mathematics, vol. 102, North-Holland Publishing Company, 1980.
  • Kenneth Kunen. Set theory, volume 34 of Studies in Logic (London). College Publications, London, 2011.
  • 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:

  • Logicomix (122Mb).

Other information:

  • Email: nc.ude.unb
    xyz
    @
    opq
    ihs
  • Teaching assistant: 夏天赐 (Tuesday 7:00-9:00pm,教二403)

Updates:

2025-09-17:
  • Sad news: Ronald Jensen, a great logician, passed away on September 16. May him R.I.P.
2025-09-12:
  • 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.

Files:

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