Here's Gromov, one of the greatest geometers of the last 50 years, discussing his viewpoint on this.
He also has this series of talks beginning with the question "What is probability, what is randomness?"
https://www.youtube.com/watch?v=aJAQVletzdY&list=PLx5f8IelFR...
Here's Gromov, one of the greatest geometers of the last 50 years, discussing his viewpoint on this.