Maximum entropy: Clearing up mysteries (Q1613029)

Summary: There are several mystifications and a couple of mysteries pertinent to MaxEnt. The mystifications, pitfalls and traps are set up mainly by an unfortunate formulation of Jaynes' die problem, the cause célèbre of MaxEnt. After discussing the mystifications, a new formulation of the problem is proposed. Then we turn to the mysteries. An answer to the recurring question 'Just what are we accomplishing when we maximize entropy?', based on MaxProb rationale of MaxEnt, is recalled. A brief view on the other mystery: 'What is the relation between MaxEnt and the Bayesian method?', in light of the MaxProb rationale of MaxEnt suggests that there is not and cannot be a conflict between MaxEnt and Bayes theorem.