We develop the theory of germs of generic functions in simple theories. Starting with an algebraic quadrangle (or other similar hypotheses), we obtain an "almost" generic...
We consider equational theories for functions defined via recursion involving equations between closed terms with natural rules based on recursive definitions of the function symb...
Abstract. We prove some results related to the problem of blowing up the power set of the least measurable cardinal. Our forcing results improve those of [1] by using the optimal h...
A propositional system of modal logic is second-order if it contains quantifiers p and p, which, in the standard interpretation, are construed as ranging over sets of possible worl...
Any model of ZFC + GCH has a generic extension (made with a poset of size 2) in which the following hold: MA + 20 = 2+ there exists a 2 1-well ordering of the reals. The proof con...