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Set theory and hierarchy theory: A memorial tribute to A. Mostowski

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Author(s): Zarach, A.; Marek, W.; Srebrny, M et al. (eds.)
Series: Lecture notes in mathematics 537
Publisher: Springer
Year: 1976

Language: English
Pages: 368
City: New York
Tags: Set Theory.;Recursion Theory.

Content: 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 fur 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 Kunig's lemma.- Categoricity relative to ordinals for models of set theory and the nonabsoluteness of L.- The universality of boolean algebras with the Hartig quantifier.- Von Neumann's hierarchy and definable reals.- Generic extension of admissible sets.- Some remarks on observational model-theoretic languages.