We investigate topological properties of subsets S of the real plane, expressed by first-order logic sentences in the language of the reals augmented with a binary relation symbol...
We consider a finite universe U (more exactly - a family U of them), second order quantifiers QK , where for each U this means quantifying over a family of n(K)-place relations clo...
It is consistent that there is a set mapping from the four-tuples of n into the finite subsets with no free subsets of size tn for some natural number tn. For any n < it is con...
The class of weakly algebrizable logics is defined as the class of logics having monotonic and injective Leibniz operator. We show that "monotonicity" cannot be discarde...
We obtain an equiconsistency for a weak form of universal indestructibility for strongness. The equiconsistency is relative to a cardinal weaker in consistency strength than a Woo...