As a matter of fact, Jaynes is a good reference even though I didn't have him in mind at the time. I was more referring to the general impression I get reading

As a matter of fact, Jaynes is a good reference even though I didn't have him in mind at the time. I was more referring to the general impression I get reading a lot of statistics textbooks and papers, which is that they're trying to numerically formalize methodologies appropriate to experimental sciences. You end up with a fair amount of papers co-written between phil-of-science scholars and statisticians.