Problem with the personal Bayesian interpretation of probability

Don't know whether it was debated in formal epistemology, but think about the following.

Possible sentences that can be formed in human language is countable, but even in personal Bayesian interpretation of probability, probabilities take their values in a continuum, and more awkwardly the sigma algebra might be infinite, hence possesses a cardinality at least that of a continuum.

Then even if only countable many events can be distinguished, and these events are subjectively conceived ipso facto from the dogma of personal Bayesianism, it is still formulated that there are more events, at least a continuum of events at that. Outrightly a contradiction.