![The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings (2nd edition) [Repost]](https://pixhost.icu/avaxhome/d2/d4/0041d4d2_medium.jpg)
The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings (2nd edition) [Repost]
![The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings (2nd edition) [Repost]](https://pixhost.icu/avaxhome/d2/d4/0041d4d2.jpg)
Akihiro Kanamori - The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings (2nd edition)
Published: 2008-11-28 | ISBN: 3540888667, 3540003843 | PDF | 538 pages | 4.4 MB
This softcover reprint of a popular reference 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.
After describing the beginnings of the subject - the theory of large cardinals - a comprehensive account is given of the work in the 1960s on partition properties, forcing and sets of reals, and aspects of measurability (including saturated ideals and inner models of measurability). Then discussed are the strong hypotheses like supercompactness up to Kunen's inconsistency. The last sections describe the investigation of determinacy from its beginnings up to a survey of the recent consistency results of Woodin. The material is presented in the context of its historical development and leads to the frontiers of contemporary research. It will serve as a reference and guide to graduate students and researchers in set theory and set-theoretic topology.