ENGLISH

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

By Akihiro Kanamori (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2003
ISBN
3540888667, 9783540888666
DOI
10.1007/978-3-540-88867-3
Open Library ID
OL23180062M
Language
english
Format
PDF
Filesize
5 MB (5090396 bytes)
Series
Springer Monographs in Mathematics
Edition
2
Pages
538\553
Orientation
no
Scanned
no
Time added
2011-08-31 04:54:40
Mathematical Logic and Foundations; Topology

Description

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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