A friendly iteration forcing that the four cardinal characteristics of $\mathcal E$ can be pairwise different

Creature forcing and five cardinal characteristics in Cichoń's diagram

On pairwise comparison matrices that can be made consistent by the modification of a few elements

Pairwise comparison matrices are often used in Multi-attribute Decision Making for weighting the attributes or for the evaluation of the alternatives with respect to a criteria. Matrices provided by the decision makers are rarely consistent and it is important to index the degree of inconsistency. In the paper, the minimal number of matrix elements by the modification of which the pairwise comp...

“Not Everything That Is Faced Can Be Changed, but Nothing Can Be Changed Until It Is Faced”: A Response to Recent Commentaries

Forcing Axioms and Cardinal Arithmetic

We survey some recent results on the impact of strong forcing axioms such as the Proper Forcing Axiom PFA and Martin’s Maximum MM on cardinal arithmetic. We concentrate on three combinatorial principles which follow from strong forcing axioms: stationary set reflection, Moore’s Mapping Reflection Principle MRP and the P-ideal dichotomy introduced by Abraham and Todorčević which play the key rol...

The first measurable cardinal can be the first uncountable regular cardinal at any successor height

We use techniques due to Moti Gitik to construct models in which for an arbitrary ordinal ρ, אρ+1 is both the least measurable and least regular uncountable cardinal.