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 2201
Mikhail Gromov, Université Paris-Saclay
The success of probability theory in mathematics and in theoretical physics is due not so much to its measure-theoretic 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one is motivated by the ongoing revision of the set-theoretic language in mathematics, as it is being systematically superseded by the category-theoretic one;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.