> >Gerry Myerson wrote: > >> My experience on Usenet has been that, by and large, it is >> the cranks and trolls who resort to shouting, name-calling, >> and other rude behavior. Between george and Norm, who is >> displaying more crankish traits? > >I'm hardly in a position to play Miss Manners, but I think one could >reasonably complain in both cases. One thing I am very tired of reading >on this list are the constant attempts to denigrate the mathematical >work of one distinguished mathematician or another, or one school of >mathematicians or another. I think ripping in to the positions people >take on the philosophy of mathematics is one thing, but treating the >mathematical work of the people involved is quite something else.
And how exactly does one distinguish one from the other? People who call themselves mathematicians invariably work within the context of one mathematical paradigm or another and one set of axiomatic beliefs or another. Their math is no more correct than the paradigm. You seem to suggest there is some way to distinguish mathematicians from their philosophy of mathematics. I agree there are ways to distinguish serious thinkers from the frivolous but I don't agree the distinction rests on mathematical paradigms and beliefs.