I think a better way to look at it is that frequentist reasoning is appropriate in certain situations and Bayesian reasoning is appropriate in other situations. Very roughly, frequentist reasoning works well for descriptive statistics and Bayesian reasoning works well for inferential statistics. I believe that Bayesian reasoning is appropriate to use in certain kinds of cases with a probability of (1-delta), where 1 represents the probability of something that has been rationally proven to my satisfaction and delta represents the (hopefully small) probability that I am deluded.
I think a better way to look at it is that frequentist reasoning is appropriate in certain situations and Bayesian reasoning is appropriate in other situations. Very roughly, frequentist reasoning works well for descriptive statistics and Bayesian reasoning works well for inferential statistics. I believe that Bayesian reasoning is appropriate to use in certain kinds of cases with a probability of (1-delta), where 1 represents the probability of something that has been rationally proven to my satisfaction and delta represents the (hopefully small) probability that I am deluded.