<p>Re No. 11: Because philosophy majors tend to study and debate questions involving human values, including justice, rather than focusing solely on numerical values. I am in no way putting down math majors, physicists, etc. who are some of the most brilliant people on the planet, and are often polymaths who are as talented in language, philosophy, etc. as those who specialize in those areas. However, a narrow focus on math may cause a lack of understanding of emotional, or broader societal, issues (of course, a narrow focus on any specialized subject can result in a narrow range of intellectual competence - a mind that is an inch wide but a mile deep).</p>