We have an apparently ambiguous word: “probability”. That we accept it’s ambiguous (the thesis of this post), means that there are situations where either of its multiple possibly contradictory meanings is intended. This doesn’t negate a possibility of there being a concept that can be applied to most situations, doesn’t itself suffer from ambiguity, and is usually referred to using the same word.
There is no apparent contradiction here: the disagreement you point out results from equivocating between the ambiguous word “probability” and (presumably) the more specific concept of probability that Jaynes refers to.
We have an apparently ambiguous word: “probability”. That we accept it’s ambiguous (the thesis of this post), means that there are situations where either of its multiple possibly contradictory meanings is intended. This doesn’t negate a possibility of there being a concept that can be applied to most situations, doesn’t itself suffer from ambiguity, and is usually referred to using the same word.
There is no apparent contradiction here: the disagreement you point out results from equivocating between the ambiguous word “probability” and (presumably) the more specific concept of probability that Jaynes refers to.