Set Theory and Hierarchy Theory: A Memorial Tribute to Andrzej Mostowski. Bierutowice, Poland, 1975

ISBN-13: 9783540078562 / Angielski / Miękka / 1976 / 352 str.

W. Marek; M. Srebrny; A. Zarach

Spis treści

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.