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I recall reading a small book by T. Skolem presenting classical set theory, and I believe it was published in the late fifties while he was teaching in the United States. Does anyone have the bibliographical details?

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    $\begingroup$ MathSciNet has "MR0156776 Skolem, Thoralf A. Abstract set theory. Notre Dame Mathematical Lectures, No. 8 University of Notre Dame Press, Notre Dame, Ind. 1962 v+70 pp." Could that be it? $\endgroup$ Commented Nov 25, 2019 at 10:03
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    $\begingroup$ The book mentioned by @NateEldredge seems to be available at Project Euclid. (Although I do not see an option to get pdf of the whole book, only for each chapter separately.) $\endgroup$ Commented Nov 25, 2019 at 10:34
  • $\begingroup$ @NateEldredge Yes, I think that is it. $\endgroup$ Commented Nov 25, 2019 at 11:54
  • $\begingroup$ @NateEldredge If you want you can state an answer and I will accept it. $\endgroup$ Commented Nov 25, 2019 at 11:59

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This seems to fit. It's a short book published by the University of Notre Dame Press.

MR0156776 Skolem, Thoralf A. Abstract set theory. Notre Dame Mathematical Lectures, No. 8. University of Notre Dame Press, Notre Dame, Ind. 1962. v+70 pp.

As Martin Sleziak points out, it is on Project Euclid and may be downloadable depending on your subscriptions. Click the "Table of Contents" tab to get PDF links for each chapter. Unfortunately there are a lot of short chapters and it seems they have to be downloaded separately.

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