For the computability of subsets of real numbers, several reasonable notions have been suggested in the literature. We compare these notions in a systematic way by relating them to...
Assume that there is no quasi-measurable cardinal not greater than 2ω . We show that for a c.c.c. σ-ideal I with a Borel base of subsets of an uncountable Polish space, if A is a...
Abstract. In this paper, we give a classification of (finite or countable) ℵ0categorical coloured linear orders, generalizing Rosenstein’s characterization of ℵ0-categorica...
We construct two models containing exactly one supercompact cardinal in which all nonsupercompact measurable cardinals are strictly taller than they are either strongly compact or...
Bar Induction occupies a central place in Brouwerian mathematics. This note is concerned with the strength of Bar Induction on the basis of Constructive ZermeloFraenkel Set Theory...