Bernoulli Lecture: Alternative Probabilities. M. Gromov March 27, 2018:

Bernoulli Lecture  What is Probability?
27 March 2018  CIB  EPFL  Switzerland
17:15  18:15
Room : BCH 2201Lecturer
Mikhail Gromov, Université ParisSaclayVIDEO
Download the PDF of the lectureThe success of probability theory in mathematics and in theoretical physics is due not so much to its measuretheoretic foundation, but rather it is because it exploits and enhances the symmetries of the structures it applies to. We shall describe in this lecture two alternative approaches to the concept of probability, where

the first one is motivated by the ongoing revision of the settheoretic language in mathematics, as it is being systematically superseded by the categorytheoretic one;

the second approach is motivated by the needs of biology and linguistics, where the structures do not possess symmetries of the kind physical structures enjoy.
