Pondering some more on Hawking.. He is a scientist. Yet he aslo seems to be a philosopher. I seem to be having trouble distinguishing were one ends (the scientist) & the philosopher begins. Anyone else?
I'm both!
Degrees in Chemistry and Philosophy.
Of course, the Philosophy degree was an accident...
I was taking Philosophy electives, and one day noticed that there were none left! So I just paid the Graduation Fee, and got the Degree.
There does not need to be a distinction anyhow.
The Degree named PhD (Doctorate) literally means Philosopher's Degree, yet it is most commonly given to Scientists.
Math courses are in the Arts department, not Science.
The distinction is merely for show. Really you can't have one without the other...