# Categorical approach to probability?

1. May 23, 2008

I am interested in, and try to understand category theory. At the same time, I am taking my first (real) probability class. I am wondering if there is a way to understand probability theory through categories, and more importantly, if so, would it be interesting? It seems that there would only be very trivial limits, i.e. only categories with monadic diagrams would have limits.

2. May 23, 2008

### Hurkyl

Staff Emeritus
You can do the usual translations, but I haven't seen anyone present probability theory in a purely category theoretic manner.

One little point is, in my opinion, I think there's merit in syntactically treating random variables as generalized elements.

Last edited: May 24, 2008
3. May 24, 2008