This book presents the classic relative consistency proofs in set theory that are obtained by the device of 'inner models'. Three examples of such models are investigated in Chapters VI, VII, and VIII; the most important of these, the class of constructible sets, leads to G6del's result that the axiom of choice and the continuum hypothesis are consistent with the rest of set theory [1]I. The text thus constitutes an introduction to the results of P. Cohen concerning the independence of these axioms [2], and to many other ...
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This book presents the classic relative consistency proofs in set theory that are obtained by the device of 'inner models'. Three examples of such models are investigated in Chapters VI, VII, and VIII; the most important of these, the class of constructible sets, leads to G6del's result that the axiom of choice and the continuum hypothesis are consistent with the rest of set theory [1]I. The text thus constitutes an introduction to the results of P. Cohen concerning the independence of these axioms [2], and to many other relative consistency proofs obtained later by Cohen's methods. Chapters I and II introduce the axioms of set theory, and develop such parts of the theory as are indispensable for every relative consistency proof; the method of recursive definition on the ordinals being an import ant case in point. Although, more or less deliberately, no proofs have been omitted, the development here will be found to require of the reader a certain facility in naive set theory and in the axiomatic method, such e as should be achieved, for example, in first year graduate work (2 cycle de mathernatiques)."
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Add this copy of Introduction to Axiomatic Set Theory to cart. $103.32, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1973 by Springer.
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Good in good dust jacket. Trade paperback (US). Glued binding. 97 p. All pages and cover are intact. Pages may have dog-ears. Possible slight loose binding or cocked spine. Cover may have creases, deep chips, scuffs, and scratches. The edges and corners may have a good amount of bumps and wear. Book may contain highlighting/underlining and markings or signed by the previous owner. Book may be Ex Library and have stickers, remainder marks, and library pockets. Used copy so book does not contain unused access codes or have the accompanying CD.
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Good in Good jacket. D. Reidel Publishing Company, 1971. Dustacket rubbed/sunned/soiled, three 1-inch tears at front cover, otherwise intact; cover lightly rubbed/sunned, top edge front board quite bumped, otherwise intact; edges sunned, top edge faintly foxed; pastedown/endpapers sunned, previous owner's bookplate/inscription at ffep, small price sticker at rear endpaper, previous owner's stamp at ffep/half-Title page/Title page/p.49, text block lightly age-toned; binding tight; interior intact and clean, except where noted. hardcover. Good/Good.
Add this copy of Introduction to Axiomatic Set Theory (Synthese Library) to cart. $51.06, good condition, Sold by Phatpocket Limited rated 4.0 out of 5 stars, ships from Waltham Abbey, ESSEX, UNITED KINGDOM, published 1971 by Springer.
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