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

Curriculum vitae of A. Mostowski....Pages 1-11
Two remarks on the models of Morse’ set theory....Pages 13-21
A remark on powers of singular cardinals....Pages 25-28
Uncountable standard models of ZFC+V≠L....Pages 29-36
Changing cofinality of X 2 ....Pages 37-49
Inductive definitions: Positive and monotone....Pages 51-63
An alternative to Martin’s axiom....Pages 65-76
Elementary extensions of β-models of A 2 with fixed height....Pages 77-81
Das Problem von Souslin für geordnete algebraische Strukturen....Pages 83-107
A cumulative system of fuzzy sets....Pages 109-119
Non-standard satisfaction classes....Pages 121-144
Ehrenfeucht games for generalized quantifiers....Pages 145-152
Dimension and totally transcendental theories of rank 2....Pages 153-183
Measure and categoricity in α-recursion....Pages 185-201
Urelements and extendability....Pages 203-219
On limit reduced powers, saturateness and universality....Pages 221-239
Extensions of models for ZFC to models for ZF+V=HOD with applications....Pages 241-247
Decision problems for generalized quantifiers—A survey....Pages 249-258
The alternative set theory....Pages 259-271
Some cases of Künig’s lemma....Pages 273-284
Categoricity relative to ordinals for models of set theory and the nonabsoluteness of L....Pages 285-290
The universality of boolean algebras with the Härtig quantifier....Pages 291-296
Von Neumann’s hierarchy and definable reals....Pages 297-319
Generic extension of admissible sets....Pages 321-333
Some remarks on observational model-theoretic languages....Pages 335-345