Since the mid-20th century mathematicians have tried to develop an alternative to set theory in which it would be more natural to do mathematics in terms of equivalence. In 1945 the mathematicians ...

What inspired the book? This book describes results from something like 10 papers that I’ve written together with Dominic Verity starting in 2012. We’ve been developing a new approach to the ...

First, we discuss basic probability notions from the viewpoint of category theory. Our approach is based on the following four "sine quibus non" conditions: 1. (elementary) category theory is ...