By H. Hermes (auth.), Prof. E. Casari (eds.)

H. Hermes: simple notions and functions of the speculation of decidability.- D. Kurepa: On a number of continuum hypotheses.- A. Mostowski: versions of set theory.- A. Robinson: difficulties and techniques of version theory.- S. Sochor, B. Balcar: the overall idea of semisets. Syntactic types of the set theory.

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In each c a s e we find , starting with the f i r s t domino of the (j+l; s t s t r i p and going to the F i s uniquely determined by the right, that each domina of this s t r i p of matching conditions. In this way we show to (2) and (3). The details a r e left the reader. R e f e r e n c e--s: -------- Wang ilf . 111 Buchi , Kahr-Moore-Wang 117 , Rerger H. Hermes Lecture AVA - C a s e o f t h e D e c i s i o n P r o b l e m of P r e d i - 8: c a t e -- C a l c u l u s . 1. A formula y of predicate calculus i s called satisfiable if it has a model.

I'Jone h a s Ord -+ ordinal mapping of the preceding continuum hypotheses in acceptable. Each 3 . 7 . On factorials. -- Fo" any ordinal (cardinal) number c>--'inal (cardinal) numbers m the ,ar-dinal number of dinallty 11 all such n that let m < n. . = 2n . F o r natursal Inirlgers w e have a s well a s ( 3 . 7 . 3 . ') where such P ( n ) denoiea the s e t of a l l uniform mappings that be ? h e s e t of a l l the If the permutations of , then f o r every transfinite cardinal n ( 3 . ) In . n is defined a s any s e t S 3f car- D.

1. ( ) 1 $ks)' If 5% of all means "to be of cardinality 211, then P S denotes the system X the 2-point-subsets of S; the cardinality of and the question whether (2) S equals - 58 - D': Kurepa for every is linked t o the choice axiom, the identical relation x = x2 sfinite cardinality . g. t h e r this number is necessarily with . being equivalent to the choice axiom (A. T a r s k i ) m e a n s n to be closed", one has the tran- all F - s e t s of the space S the problem of De Groot, a s a 2-power, i.