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" The Higher Infinite : "
by Akihiro Kanamori.
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BL
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| Record Number
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760913
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b580886
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| Main Entry
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by Akihiro Kanamori.
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| Title & Author
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The Higher Infinite : : Large Cardinals in Set Theory from Their Beginnings\ by Akihiro Kanamori.
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| Publication Statement
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Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint : Springer, 1997
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| Series Statement
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Perspectives in mathematical logic
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| Page. NO
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(XXIV, 536 pages)
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| ISBN
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3662131676
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: 9783662131671
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| Abstract
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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.
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| Subject
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Logic, Symbolic and mathematical.
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Mathematics.
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Topology.
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| LC Classification
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QA248.B935 1997
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| Added Entry
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Akihiro Kanamori
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