It may just be my physician's bias, but "diseased" seems like a very imprecise term. The title would be more informative and more widely quoted with another word choice. In medicine you would not find that word in an article title.

There needs to be more cross-talk between philosophy and science. It is not an "either or" choice; we need an amalgam of the two. As a scientist I object strongly to your statement "Second, if you want to contribute to cutting-edge problems, even ones that seem philosophical, it's far more productive to study math and science than it is to study philosophy." Combined approaches are what is needed, not abandonment of philosophy.