<p>Re engineering: EE, ME and CivE are by far the largest engineering disciplines. ChemE, Industrial, Materials etc. are much smaller. If you count software/CS/IT as engineering, it’s the biggest of all. (See BLS occupational outlook handbook.)</p>
<p>Re math & physics: Physics is empirical. It’s debatable whether math is empirical (see [Philosophy</a> of mathematics - Wikipedia, the free encyclopedia](<a href=“http://en.wikipedia.org/wiki/Philosophy_of_mathematics]Philosophy”>Philosophy of mathematics - Wikipedia) ). </p>
<p>Re Newton & Liebniz: I suspect that Newton and Liebniz thought of themselves as philosophers.</p>