First, is it true that academic philosophers reside in ivory towers? And that their ivory tower is filled with books and greek sculptures?
Second, There seems to be an interesting feature of many logicians or philosophers of language, that they have a background in the field of mathematics or being related to the field of mathematics in some other way. Is this in your opinion a coincidence? Does the field of mathematics grant those capable of handling it some clarity of mind or perspective in observing the world? This could be interpreted as a question to what sort of intelligence, if any, is more favorable to logicians and philosophers of language(presupposing that the distinctions made in the theory of multiple intelligences hold).
It was an interesting and, in my opinion, true prediction of Alfred N. Whitehead when he said that science in its evolution becomes more and more mathematized.
As for the first question, I do (as it happens) work on a college campus in which my office is in an ivory covered building with a tower, and there are some Greek sculpture here and there on my floor, though the most common things (except for other professors, students, books, furniture) in our department are dozens and dozens of owls (symbol or wisdom), owl statues or as dolls, etc. But speaking to the ivory tower as a metaphor, I think philosophers today and certainly at many points historically, very much engage the world and culture at large. Socrates did philosophy at the market place, and now there are many philosophers who seek to engage others through popular culture, their courses that involve very practical moral concerns (e.g. bio-medical ethics, environmental ethics, courses on just war theory and so on), and in publications that have a wide, educated readership (e.g. New York Review of Books, Times Literary Supplement, and so on). On the second point, I think it is rare to find a...