Lectures on Topos Quantum Theory

"A possible way to overcome the above mentioned issues is through a reformulation of quantum theory in terms of a different mathematical framework called topos theory.

The reason for choosing topos theory is that it ‘looks like’ sets and is equipped with an internal logic. As we will explain in detail in the following chapters, both these features are desirable, because they will allow for a reformulation of quantum theory which is more realist (thus solving issue (B)) and which does not rest on a priori assumptions about the nature of space and time"