# Research Areas

Please consult the individual web pages of the members of the departments for the list of publications which indicate the relevant research areas.

Here is a brief summary of the main topics:

## Set Theory & Foundations of Mathematics

- large cardinals and forcing
- large cardinal properties of small cardinals
- forcing & structure of the real line
- combinatorics of ultrafilters

## Logic

- nonclassical logics and their applications
- matemathematics of arithmetics

## Philosophy of set theory and mathematics

- Philosophy of mathematics and exact sciences
- Extensions of the axioms of set theory (ZFC) and their philosophical standing