Liao is a contemporary philosopher working in formal epistemology and philosophy of probability. Their work engages with the foundations of probabilistic reasoning, particularly the relationship between epistemic principles governing the assignment of prior probabilities under uncertainty.
Defended the principle of maximum entropy as a principled approach to prior probability assignment
Argued for maximum entropy as a more general and epistemically cautious alternative to the Principle of Indifference
Contributed to debates on rational belief formation under conditions of ignorance