Aspects of constructibility (Lecture notes in mathematics)
by Keith J. Devlin
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Zermelo-Fraenkel set theory.- The constructible universe.- The axiom of constructibility, the condensation lemma, and the consistency of the generalised continuum hypothesis.- The Souslin hypothesis.- The Kurepa hypothesis.- Constructibility and the continuum.- The Jensen hierarchy of constructible sets.- The fine structure of the Jensen hierarchy.- The combinatorial principles {{ie104-1}}.- The generalised Souslin hypothesis for successor cardinals.- Ineffable cardinals and the generalised show more Kurepa hypothesis.- Weakly compact cardinals and the generalised Souslin hypothesis.- The Gap-1 two cardinals theorem.- Gap-1 morasses.- The gap-2 two cardinals theorem. (Jensen).- Small large cardinals.- Medium large cardinals.- Large large cardinals.- Relative constructibility.- The inner model L[?].- Strongly compact cardinals and relative constructibility. show lessMember Reviews
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Born in England in 1947 and living in America since 1987, Keith Devlin has written more than 20 books and numerous research articles on various elements of mathematics. From 1983 to 1989, he wrote a column on for the Manchester (England) Guardian. The collected columns are published in All the Math That's Fit to Print (1994) and cover a wide range show more of topics from calculating travel expenses to calculating pi. His book Logic and Information (1991) is an introduction to situation theory and situation semantics for mathematicians. Co-author of the PBS Nova episode "A Mathematical Mystery Tour," he is also the author of Devlin's Angle, a column on the Mathematical Association of America's electronic journal. Devlin lives in California, where he is dean of the school of science at Saint Mary's College in Morgana. He is currently studying the use of mathematics to analyze communication and information flow in the workplace. (Bowker Author Biography) show less
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