Van Horn’s response should be required reading!
Especially this snippet.
Chapman also writes,
“Statistical inference is based on probability theory, and enables reasoning from specifics to generalities in some cases. It is not just probability theory, though;”
—a statement which is only true of frequentist statistical inference, and is flat- out wrong for Bayesian statistical inference, which is in fact just probability theory. Chapman has such a determinedly frequentist mindset that he can’t seem to even acknowledge the existence of a non-frequentist statistics.