Philosophy
The Epistemology of Bayesian Reasoning and Probabilistic Knowledge
Quick fact
In Bayesian epistemology, rational agents must assign probabilities to all propositions they consider, and these probabilities must obey the laws of probability. This means that a rational agent's beliefs cannot be in a logical contradiction—they must be probabilistically coherent.
Why this is interesting
Ever since a single word can change the color of your whole world, probability has been the calculus of doubt. But what if a belief is not a single point, but a range of degrees?