R. Srinivasan wrote: > Barb Knox wrote: > > > > Consider that calculus too started out as a half-baked theory laden with > > paradoxes, and that one of the great mathematical achievements was to > > put it on a rigourous footing. And indeed, set theory was one of the > > important tools in that enterprise. > > The presently accepted foundations of the calculus still does not > resolve Zeno's paradoxes.
Why not? What's the paradox?
> These foundations have been challenged and > new foundations have been proposed. See Sec. 4 of > <http://arxiv.org/abs/math.LO/0506475>. The failure of the academic > community to respond to this work still seems completely inexplicable > to me. > > The prroblem with academics today is not that it is dominated by any > particular race or clan. The problem is that institutionalization of > research has led to systematic suppression of dissent. And from my own > perspective, it looks to me like protecting turf has at some stage > become more important than honesty, ethics and the true spirit of > enquiry that research is all about. When professionals in a field of > research fail to acknowledge significant new work in their own field > just because it happens to represent dissent, then they are as much > politicians as they are researchers. And there is something seriously > wrong with that. > > Regards, RS