The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings (Springer Monographs in Mathematics)

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9783540888666: The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings (Springer Monographs in Mathematics)
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Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.

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Review:

"The exposition is intelligent and well-paced; ...as a source book it is a compendium of references, well indexed, and it will become literally the reference book, a Baedeker, for the enquiring student of the subject. It should therefore be on every University Librarys mathematical shelf." Proceedings of the Edinburgh Mathematical Society

"The exposition is intelligent and well-paced;...as a source book it is a compendium of references, well indexed, and it will become literally the reference book, a Baedeker, for the enquiring student of the subject. It should therefore be on every University Librarys mathematical shelf." Proceedings of the Edinburgh Mathematical Society

From the Back Cover:

The theory of large cardinals is currently a broad mainstream of modern set theory, the main area of investigation for the analysis of the relative consistency of mathematical propositions and possible new axioms for mathematics. The first of a projected multi-volume series, this book provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contempory research. A "genetic" approach is taken, presenting the subject in the context of its historical development. With hindsight the consequential avenues are pursued and the most elegant or accessible expositions given. With open questions and speculations provided throughout the reader should not only come to appreciate the scope and coherence of the overall enterpreise but also become prepared to pursue research in several specific areas by studying the relevant sections.

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Other Popular Editions of the Same Title

9783540003847: The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings (Springer Monographs in Mathematics)

Featured Edition

ISBN 10:  3540003843 ISBN 13:  9783540003847
Publisher: Springer, 2005
Hardcover

9783540570714: The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings (Perspectives in Mathematical Logic)

Springer, 1997
Hardcover

9780387570716: The Higher Infinite (Universitext)

Spring..., 1994
Hardcover

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