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| A historical introduction by A. A. Fraenkel to the original Zermelo-Fraenkel form of set-theoretic axiomatics, plus Paul Bernays'... One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This...
Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of... The purpose of this book is to introduce the basic ideas of mathematical proof and reasoning to students starting university mathematics.
This volume offers a guided tour of modern mathematics' Garden of Eden, beginning with perspectives on the finite universe and classes and... This is an extensively revised edition of Mr. Quine's introduction to abstract set theory and to various axiomatic systematizations of the...
The first part of this advanced-level text covers pure set theory, and the second deals with applications and advanced topics (point set... This monograph covers the recent major advances in various areas of set theory. From the reviews: "One of the classical textbooks and...
Vicious Circles is intended for researchers who use hypersets but is accessible to people of differing backgrounds. Thoroughly revised, updated, expanded, and reorganized to serve as a primary text for mathematics courses, Introduction to Set Theory, Third...
Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and... Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of...
Presents those methods of modern set theory most applicable to other areas of pure mathematics. This is a classic introduction to set theory, from the basics through to the modern tools of combinatorial set theory.
This introduction to topos theory examines local set theories, fundamental properties of toposes, sheaves, locale-valued sets, and natural... This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The award-winning author employs...
This up-to-date introductory treatment employs category theory to explore the theory of structures. Its unique approach stresses concrete... A lucid, elegant, and complete survey of set theory, this three-part treatment explores axiomatic set theory, the consistency of the...
This comprehensive handbook enables readers to prove hundreds of mathematical results. It presents the formal development of natural numbers... This is the softcover reprint of the very popular hardcover edition. The theory of large cardinals is currently a broad mainstream of modern...
Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. The... This outstanding text is written in clear language and enhanced with many exercises, diagrams, and proofs. It discusses historical...
This book covers the theoretical and experimental study of partial reducts and partial decision rules on the basis of the study of partial... This softcover reprint of a popular reference provides a comprehensive account of the theory of large cardinals from its beginnings and some...
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