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Set Theory
During the past 25 years, set theory has developed in several interesting directions. The most outstanding results cover the application of sophisticated techniques to problems in analysis, topology, infinitary combinatorics and other areas of mathematics. This book contains a selection of contributions, some of which are expository in nature, embracing various aspects of the latest developments. Amongst topics treated are forcing axioms and their applications, combinatorial principles used to construct models, and a variety of other set theoretical tools including inner models, partitions and trees. Audience: This book will be of interest to graduate students and researchers in foundational problems of mathematics.
Combinatorial Set Theory
This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory. Following an overview of basic notions in combinatorics and first-order logic, the author outlines the main topics of classical set theory in the second part, including Ramsey theory and the axiom of choice. The revised edition contains new permutation models and recent results in set theory without the axiom of choice. The third part explains the sophisticated technique of forcing in great detail, now including a separate chapter on Suslin’s problem. The technique is used to show that certain statements are neither provable nor disprovable from the axioms of se...
Paraconsistent Logic: Consistency, Contradiction and Negation
This book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including connections to other logics and applications in information processing, linguistics, reasoning and argumentation, and philosophy of science. It is recommended reading for anyone interested in the question of reasoning and argumentation in the presence of contradictions, in semantics, in the paradoxes of set theory and in the puzzling properties of negation in logic programming. Paraconsistent logic comprises a major logical theory and offers the broadest possible perspective on the debate of negation in logic and philosophy. It is a powerful tool for reasoning under contradictor...
Mathematical Reviews
None
Latin American Lives
Collects the 3,000 biographies from the 1996 reference for schools that would like to include more about the region in the curriculum but cannot invest in the entire set. Stretches temporally from the ancient civilizations of the Olmec, Maya, and Chavin to the present day. Geographically, includes South and Central America, the Caribbean, Mexico, and the historically Spanish borderlands north of the Rio Grande that are currently part of the US. Includes political leaders, artists, philosophers, religious figures, business leaders, educators, scientists, historians, military leaders, musicians and composers, and others who have had either a historical or a popular impact. Well cross-referenced. Moderately illustrated in black and white. Annotation copyrighted by Book News, Inc., Portland, OR
Combined Membership List
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
