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The Rasiowa–Pawlak school was established during the second half of the twentieth century. The school concentrates on studies in logics, foundations of computer science and artificial intelligence (AI). Its formation has been greatly influenced by the logician Andrzej Mostowski, a professor at Warsaw University [110, 111], who, in particular, directed the… (More)
B. Jónsson has asked : Is there an algebra of power a with no proper subalgebra of power a? H. J . Keisler and F. Rowbottom proved that the answer is affirmative for every a, provided Gödel's constructibility axiom holds  . The main aim of this paper is to prove, using the generalized continuum hypothesis (G.C.H . in what follows), that the answer is… (More)
We investigate complete Boolean algebras that carry a continuous submeasure.