Springer Monographs in Mathematics

The Higher Infinite

Large Cardinals in Set Theory from Their Beginnings

Authors: Kanamori, Akihiro

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  • Has become a standard reference and guide in the set theory community

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About this book

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.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-540-88867-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.99
price for USA in USD
  • ISBN 978-3-540-88866-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Higher Infinite
Book Subtitle
Large Cardinals in Set Theory from Their Beginnings
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2003
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-88867-3
DOI
10.1007/978-3-540-88867-3
Softcover ISBN
978-3-540-88866-6
Series ISSN
1439-7382
Edition Number
2
Number of Pages
XXII, 538
Additional Information
Originally published in the series: Perpectives Mathematical Logic
Topics