Revised edition intended as a primary text for mathematics courses. Basic material covered includes: relations, functions, and orderings; finite, countable, and uncountable sets; and cardinal and ordinal numbers. Advanced material discussed includes the Axiom of Choice, filters, ultrafilters, closed unbounded and stationary sets, partitions, large and measurable cardinals, well-founded and non- well-founded sets, partition calculus, and other topics.

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