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Set Theory and Hierarchy Theory A Memorial Tribute to Andrzej Mostowski [electronic resource] : Bierutowice, Poland 1975 / edited by Wiktor Marek, Marian Srebrny, Andrzej Zarach.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 537Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1976Description: XVI, 352 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540381228
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 510 23
LOC classification:
  • QA1-939
Online resources:
Contents:
Curriculum vitae of A. Mostowski -- Two remarks on the models of Morse’ set theory -- A remark on powers of singular cardinals -- Uncountable standard models of ZFC+V?L -- Changing cofinality of X 2 -- Inductive definitions: Positive and monotone -- An alternative to Martin’s axiom -- Elementary extensions of ?-models of A2 with fixed height -- Das Problem von Souslin für geordnete algebraische Strukturen -- A cumulative system of fuzzy sets -- Non-standard satisfaction classes -- Ehrenfeucht games for generalized quantifiers -- Dimension and totally transcendental theories of rank 2 -- Measure and categoricity in ?-recursion -- Urelements and extendability -- On limit reduced powers, saturateness and universality -- Extensions of models for ZFC to models for ZF+V=HOD with applications -- Decision problems for generalized quantifiers—A survey -- The alternative set theory -- Some cases of Künig’s lemma -- Categoricity relative to ordinals for models of set theory and the nonabsoluteness of L -- The universality of boolean algebras with the Härtig quantifier -- Von Neumann’s hierarchy and definable reals -- Generic extension of admissible sets -- Some remarks on observational model-theoretic languages.
In: Springer eBooks
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Curriculum vitae of A. Mostowski -- Two remarks on the models of Morse’ set theory -- A remark on powers of singular cardinals -- Uncountable standard models of ZFC+V?L -- Changing cofinality of X 2 -- Inductive definitions: Positive and monotone -- An alternative to Martin’s axiom -- Elementary extensions of ?-models of A2 with fixed height -- Das Problem von Souslin für geordnete algebraische Strukturen -- A cumulative system of fuzzy sets -- Non-standard satisfaction classes -- Ehrenfeucht games for generalized quantifiers -- Dimension and totally transcendental theories of rank 2 -- Measure and categoricity in ?-recursion -- Urelements and extendability -- On limit reduced powers, saturateness and universality -- Extensions of models for ZFC to models for ZF+V=HOD with applications -- Decision problems for generalized quantifiers—A survey -- The alternative set theory -- Some cases of Künig’s lemma -- Categoricity relative to ordinals for models of set theory and the nonabsoluteness of L -- The universality of boolean algebras with the Härtig quantifier -- Von Neumann’s hierarchy and definable reals -- Generic extension of admissible sets -- Some remarks on observational model-theoretic languages.

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