In the School of Mathematical Sciences at Queen Mary in the University of London we have been running a module that teaches the students to write good mathematical English. The module is for second-year undergraduates and has been running for three years. It is based on logic, but the logic—though mathematically precise—is informal and doesn’t use logical symbols. Some theory of definitions is ...

There are human beings whose intellectual power exceeds that of ordinary men. In my life, in my personal experience, there were three such men, and one of them was Andrei Nikolaevich Kolmogorov. I was lucky enough to be his immediate pupil. He invited me to be his pupil at the third year of my being student at the Moscow University. This talk is my tribute, my homage to my great teacher. Andrei...

Aims of the course: To introduce the basic notions of Mathematical Fuzzy Logic and some of the open problems in its agenda. 1. Introduction to the algebraic study of propositional logics. The cases of intuitionistic and classical logic. The general notion of algebraizable logic.

In any model theoretic logic, Beth’s definability property together with Feferman-Vaught’s uniform reduction property for pairs imply recursive compactness, and the existence of models with infinitely many automorphisms for sentences having infinite models. The stronger Craig’s interpolation property plus the uniform reduction property for pairs yield a recursive version of Ehrenfeucht-Mostowsk...

Assessing student mathematical knowledge is an important factor in the mathematics learning process because students obtain feedback to improve their and learning. Despite importance of assessment, several researchers have shown that grades comprise noncognitive metacognitive factors teachers’ prejudices beliefs. One method a more objective view through standardized assessments. In this paper, ...