Introduction to Modern Set Theory (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)

This is modern set theory from the ground up--from partial orderings and well-ordered sets to models, infinite cobinatorics and large cardinals. The approach is unique, providing rigorous treatment of basic set-theoretic methods, while integrating advanced material such as independence results, throughout. The presentation incorporates much interesting historical material and no background in mathematical logic is assumed. Treatment is self-contained, featuring theorem proofs supported by diagrams, examples and exercises. Includes applications of set theory to other branches of mathematics. Incorporating contemporary ideas, this introductory text assumes no knowledge of logic or of set theory. It features combinatorial prerequisites to set theory, definitions of models of axioms and includes consistency results. Illustrative examples and exercises are provided. Judith Roitman. A Wiley-interscience Publication. Includes Bibliographical References.