The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings / Edition 2

The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings / Edition 2

by Akihiro Kanamori
     
 

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

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Overview

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.

Product Details

ISBN-13:
9783540888666
Publisher:
Springer Berlin Heidelberg
Publication date:
11/28/2008
Series:
Springer Monographs in Mathematics Series
Edition description:
2nd ed. 2003. Corr. 2nd printing 2005
Pages:
538
Product dimensions:
6.10(w) x 9.20(h) x 1.00(d)

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Table of Contents

Preliminaries.- Beginnings.- Partition Properties.- Forcing and Sets of Reals.- Aspects of Measurability.- Strong Hypotheses.- Determinacy.

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