Many of us have already explored the road you are following, and we know what you will find at the end of it. It doesn’t matter how many new words you drag into this discussion to avoid having to utter the word ‘probability’ in a sense different from frequency: likelihood, confidence, significance, propensity, support, credibility, acceptability, indifference, consonance, tenability, – and so on, until the resources of the good Dr Roget are exhausted. All of these are attempts to represent degrees of plausibility by real numbers, and they are covered automatically by Cox’s theorems. It doesn’t matter which approach you happen to like philosophically – by the time you have made your methods fully consistent, you will be forced, kicking and screaming, back to the ones given by Laplace. Until you have achieved mathematical equivalence with Laplace’s methods, it will be possible, by looking at specific problems with Galileo’s magnification, to exhibit the defects in your methods.