By its nature, set theory does not depend on any previous
mathematical knowl edge. Hence, an individual wanting to read this
book can best find out if he is ready to do so by trying to read
the first ten or twenty pages of Chapter 1. As a textbook, the book
can serve for a course at the junior or senior level. If a course
covers only some of the chapters, the author hopes that the student
will read the rest himself in the next year or two. Set theory has
always been a sub ject which people find pleasant to study at least
partly by themselves. Chapters 1-7, or perhaps 1-8, present the
core of the subject. (Chapter 8 is a short, easy discussion of the
axiom of regularity). Even a hurried course should try to cover
most of this core (of which more is said below). Chapter 9 presents
the logic needed for a fully axiomatic set th ory and especially
for independence or consistency results. Chapter 10 gives von
Neumann's proof of the relative consistency of the regularity axiom
and three similar related results. Von Neumann's 'inner model'
proof is easy to grasp and yet it prepares one for the famous and
more difficult work of GOdel and Cohen, which are the main topics
of any book or course in set theory at the next level."
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