… , of the topological point of view in point-set theory, which seems to have attracted many
people to the first edition of this book ; in this new edition, I have restricted myself to the simpler …

… region of the theory of well-ordered sets, and … first steps of set theory and indicating that
something was rotten in the foundations of this discipline. But not only was the basis of set theory …

… We have been recounting the development of descriptive set theory on the real numbers,
but it is obvious that the basic notions are topological in nature and can be formulated in the …

… In the development of set theory, we shall have to add to our extended language, as we
should have done in the case of any other mathematical theory, symbols for defined relations …

… It is rather in what Fraenkel has called abstract set theory, as against point-set theory, that
we have so particularly to call our shots. A book in this branch typically takes up, in order, the …

… in the first two editions, but also covers recent developments of set theory during the last
25 years. We believe that this new version will become a standard reference on set theory for …

… This is our first example of an important procedure in set theory—the formation of new sets
from an existing set. The principle of abstraction may be used to define subsets of a given …

… However, it is of some interest that much of the elementary development of set theory does
not need AC, so in this chapter we shall explicitly indicate which results have used AC in their …

… We show that axiomatic set theory is powerful enough to serve as an underlying framework
… of the theory of natural, rational, and real numbers in it. However, we carry the development …

… the new book is the idea that set theory is a measure (not the … practice, which many set theory
textbooks contrive to obscure, … sits comfortably inside the first couple of dozen levels of the …