[adamnemecek]

Well fundamentally probability is a framework for reasoning about the future based on previous events. This framework is analogous to logic but it's separate and even though it's not as clean it's a lot more useful for dealing with the real world.

[danharaj]

Probability and probabilistic reasoning can be described by this framework. The theory is not yet as well developed as the classical theories. A discussion is here: https://golem.ph.utexas.edu/category/2007/02/category_theore...

[aminorex]

The framework itself needs description in probabilistic terms. Otherwise it has only pragmatic utility, and degraded epistemic status.