It would be cool if you found a way to work in the existence of Cox’s theorem—when I encountered it, I had never thought about why the laws of probability were given as they are, or if there could be a different consistent way to represent and calculate probability besides multiplying numbers together. So it made a big impression on me.
I don’t know how to make that part of a more layman-oriented discussion of probability and epistemology, though.
That’s a big point for me too. Show that it solves a problem, instead of being a formalism you just happen to use for reasoning under uncertainty for some unknown reason.
It would be cool if you found a way to work in the existence of Cox’s theorem—when I encountered it, I had never thought about why the laws of probability were given as they are, or if there could be a different consistent way to represent and calculate probability besides multiplying numbers together. So it made a big impression on me.
I don’t know how to make that part of a more layman-oriented discussion of probability and epistemology, though.
That’s a big point for me too. Show that it solves a problem, instead of being a formalism you just happen to use for reasoning under uncertainty for some unknown reason.