Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

Transfinite set theory encompasses the rigorous study of infinite hierarchies, particularly those structured by ordinals and cardinals. This field has been instrumental in deepening our comprehension ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in ...

This course is available on the MPhil/PhD in Philosophy of the Social Sciences, MSc in Economics and Philosophy, MSc in Philosophy of Science and MSc in Philosophy of the Social Sciences. This course ...

We develop the theory of partial satisfaction relations for structures that may be proper classes and define a satisfaction predicate (╞*) appropriate to such structures. We indicate the utility of ...

The William Reinhardt Memorial Lecture in the Philosophy of Mathematics was founded to commemorate the life of William Reinhardt, Professor of Mathematics at the University of Colorado from 1967 until ...

The branch of mathematics or logic that is concerned with sets of objects and rules for their manipulation. UNION, INTERSECT and COMPLEMENT are its three primary operations and they are used in ...