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Textbooks on set theory

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I want to do a survey of textbooks in set theory. Amazon returns 3582 books for the keywords "set theory". A small somewhat random selection with number of references in Google scholar is the following.

Two questions:

  • What textbooks in set-theory are considered standard?

  • What is a good place to aggregate standard references (of textbooks)?

(I'm only interested in text-books, which as a format already provide a kind of standardization)

Textbooks on set theory (author: title (year) #Google Scholar citations )

  • Thomas J. Jech: Set Theory 3rd Edition (1978) #2441
  • Kenneth Kunen: Set Theory (1980) #1881
  • P. R. Halmos: Naive Set Theory (1974) #1079
  • AA Fraenkel, Y Bar-Hillel, A Levy: Foundations of set theory (1973) #696
  • K Kuratowski, A Mostowski, M Mączyński: Set theory (1976) #609
  • Suppes: Axiomatic set theory (1972) #589
  • Quine: Set theory and its logic (1969) #442
  • A Levy: Basic set theory (1979) #442
  • Herbert B. Enderton: Elements of Set Theory (1977) #349
  • Karel Hrbacek, Thomas J. Jech: Introduction to set theory (1999) #284
  • RR Stoll: Set theory and logic (1979) #281
  • N. Bourbaki: theory of sets (1970) #211
  • K Devlin: The joy of sets: fundamentals of contemporary set theory (1994) #182
  • Ciesielski: Set theory for the working mathematician (1997) #156
  • YN Moschovakis: Notes on set theory (1994) #138
  • FW Lawvere: Sets for mathematics (2003) #118
  • G Takeuti, WM Zaring: Introduction to axiomatic set theory (1982) #106
  • Kaplansky: Set Theory and Metric Spaces (2001) #103
  • Potter: Set Theory and Its Philosophy: A Critical Introduction (2004) #91
  • PT Johnstone: Notes on logic and set theory (1987) #87
  • Judith Roitman: Introduction to Modern Set Theory (1990) #47
  • Derek Goldrei: Set Theory: For Guided Independent Study (1996) #31
  • Basic set theory: A Shen, NK Vereshchagin (2002) #14
  • Ralf Schindler: Set Theory (2014) #13
  • Foreman, Kanamori: Handbook of Set Theory (2009) #38

Note: Please feel free to add textbooks to the list, as long as they are not just on a smaller subset of set theory. (Some of the dates might not be the first published edition.)


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