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Titlebook: Handbook of Set Theory; Matthew Foreman,Akihiro Kanamori Book 2010 Springer Science+Business Media B.V. 2010 Arithmetic.Combinatorics.Cont

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书目名称Handbook of Set Theory
编辑Matthew Foreman,Akihiro Kanamori
视频video
概述Definitive compendium of all of modern set theory.Chapters written by the leading experts in their areas.Carefully crafted, self-contained expositions for all the subfields of set theory.No other up-t
图书封面Titlebook: Handbook of Set Theory;  Matthew Foreman,Akihiro Kanamori Book 2010 Springer Science+Business Media B.V. 2010 Arithmetic.Combinatorics.Cont
描述Numbers imitate space, which is of such a di?erent nature —Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Greeks. The urge to understand and systematize the mathematics of the time led Euclid to postulate axioms in an early attempt to put geometry on a ?rm footing. With roots in the Elements, the distinctive methodology of mathematics has become proof. Inevitably two questions arise: What are proofs? and What assumptions are proofs based on? The ?rst question, traditionally an internal question of the ?eld of logic, was also wrestled with in antiquity. Aristotle gave his famous syllogistic s- tems, and the Stoics had a nascent propositional logic. This study continued with ?ts and starts, through Boethius, the Arabs and the medieval logicians in Paris and London. The early germs of logic emerged in the context of philosophy and theology. The development of analytic geometry, as exempli?ed by Descartes, ill- tratedoneofthedi?cultiesinherentinfoundingmathematics. Itisclassically phrased as the question ofhow one reconciles the arithmetic with the geom- ric. Arenumbers onetypeofthingand geometricobjectsanother? Whatare the relationships
出版日期Book 2010
关键词Arithmetic; Combinatorics; Continuum; Determinacy; Equivalence; Large Cardinals; Lemma; cardinals; set theor
版次1
doihttps://doi.org/10.1007/978-1-4020-5764-9
isbn_softcover978-94-024-0466-1
isbn_ebook978-1-4020-5764-9
copyrightSpringer Science+Business Media B.V. 2010
The information of publication is updating

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Philip D. WelchDiscovery of chemical control of gastric secretion immediately followed discovery of chemical control of pancreatic secretion. Consequently, I must describe the latter as an introduction to the former.
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William J. MitchellThis chapter charts the history of expansionist adventures of European Colonial Powers in India, Indonesia, and China. The chapter focuses on the relationship between the colonial elite and the natives. It analyses the theories of client patron relationships and the role of special events such as the battle of Plassey and the Mutiny.
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Introduction,This extensive introduction develops a historical frame that affirms the background, basic concepts and notation, and then provides summaries of the individual chapters.
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Matthew Foreman,Akihiro KanamoriDefinitive compendium of all of modern set theory.Chapters written by the leading experts in their areas.Carefully crafted, self-contained expositions for all the subfields of set theory.No other up-t
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