Answer to Question #3: As a pure mathematician I know that what I do has an application, but I don't know what that is. Would I be curious how it's applied? You're damn right I would, for knowing would help me to live and better judge my own place in history. Considering that the old dichotomy of the contexts of justification and discovery has been shown to be a false way of looking at the sciences, even the purest of mathematicians should be interested in the history of their own ideas!
Paul

