📚 Set Theory

Cantor’s dangerous paradise: infinities of different sizes, and the axioms that keep the paradoxes out.

Below are the 30 works carrying the subject set theory in the Open Library catalogue with the most editions in print. Author and first year are as the record states them; a missing year means the record does not carry one, not that the book is undated. Novels set in the subject are left out, because a list of historical fiction is not a list of history. Where one author dominates the reprint counts, no more than two of their titles appear.

Cover	Title	Author	First published	Editions
	Contributions to the founding of the theory of transfinite numbers	Georg Cantor	1915	38
	The continuum, and other types of serial order, with an introduction to Cantor's transfinite numbers	Edward Vermilye Huntington	1917	20
	Elements of mathematics	Nicolas Bourbaki	1965	19
	Naive Set Theory	Paul R. Halmos	1960	18
	Mengenlehre	Felix Hausdorff	1927	12
	A first course in fuzzy logic	Hung T. Nguyen	1997	11
	Elements of the topology of plane sets of points	M. H. A. Newman	1939	10
	General topology	Wacław Sierpiński	1952	10
	Set theory and its logic	Willard Van Orman Quine	1963	10
	Etre et l'événement	Alain Badiou	1988	9
	Mathematical proofs	Gary Chartrand	2002	8
	Teoria mnogości	Kazimierz Kuratowski	1952	7
	Set theory	Felix Hausdorff	1957	7
	Aggregation in economic analysis	H. A. John Green	1964	7
	Einleitung in die mengenlehre	Abraham Fraenkel	1919	6
	Abstract set theory	Abraham Fraenkel	1953	6
	The theory of graphs and its applications	Claude Berge	1964	6
	Come and Count	M. E. Williams	1971	6
	The foundations of mathematics in the theory of sets	John P. Mayberry	2000	6
	Counting by	Esther Sarfatti	2007	6
	If you were a set	Marcie Aboff	2008	6
	Extremal Finite Set Theory	Daniel Gerbner	2018	6
	Introduction to set theory and topology	Kazimierz Kuratowski	1961	5
	An introduction to sets, probability and hypothesis testing	Howard F. Fehr	1964	5
	Sets and groups	J. A. Green	1965	5
	Constructibility	Keith J. Devlin	1984	5
	The philosophy of set theory	Mary Tiles	1989	5
	Essentials of mathematical thinking	Steven G. Krantz	2017	5
	Cardinal and ordinal numbers	Wacław Sierpiński	1958	4
	Axiomatic set theory	Patrick Suppes	1960	4

List built from Open Library (CC0 metadata) · retrieved 03 Nov 2026 UTC · capped at 30 works per subject.

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Want the ideas behind these books explained rather than listed? Try Study for short explainers, Academy for deeper tracks, and the periodic table or the night sky when the book is about matter or stars.