This book is an introduction to set theory in which the author
develops the subject from first principles and presupposes little
more than an elementary grounding in logic. Throughout much
attention is paid to the historical and philosophical background
which illuminates the subject's development. This book differs from
most by providing a particularly elegant and intuitive approach
based on Scott's formulation of standard set theory in which sets
are built up stage by stage. This approach has the advantage of
introducing the axioms of set theory in a natural way and shows how
they come to take the form they do. The book covers all the basic
tools of set theory: the natural numbers, cardinals, ordinals, and
the axiom of choice in some detail. It also provides an account of
the representation theory of lattices and how this is closely
connected with the various forms of the axiom of choice.
General
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