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The Principle of Maximum Entropy is often used to update probabilities due to evidence instead of performing Bayesian updating using Bayes' Theorem, and its use often has efficacious results. However, in some circumstances the results seem unacceptable and unintuitive. This paper discusses some of these cases, and discusses how to identify some of the situations in which this principle should not be used. The paper starts by reviewing three approaches to probability, namely the classicaldoi:10.3390/e16074004 fatcat:pqroqkutbzb3dmf7v6kefaa7uq