And I thought I had the ball rolling...
Well, since it stopped, it is time to conclude. I must have my head in the sand, since I do not see much philosophy being used in science, apart from the scientific method, which took its current basic form in the end of the nineteenth century. But John Davis must also have his head in the sand, since he cannot come up with much either.
Philosophy studies the sciences, mathematics and other disciplines and uses them in its endeavour to understand knowledge (epistemology), reality (ontology) and especially the human (social philosophy, political philosophy), but the natural sciences do not interact much with philosophy, and the human sciences do so only in a very limited manner.
In the times of the encyclopedists like Diderot all the branches of knowledge were almost merged, and the study of ontology was not clearly distinguishable from the study of chemistry, for example. But those times are over. In the natural sciences the phrase from Feynman, which says something like "philosophy is about as useful to science as ornithology is to birds" says pretty much the whole story. In human sciences there are some places where philosophy gives inspiration in the search for models (which are scarce and not very powerful, yet in some human sciences) but not much more.
Philosophy is important for its own merits, not for what James or John Davis think.