(August 12, 2012 at 1:18 pm)Categories+Sheaves Wrote: Likewise, if I can directly prove that a particular solution to a problem exists, I need not prove whether solutions exist in general beforehand. How many examples do I have to throw at you here?
That is assuming that you can prove it, which is a poor example, given that nothing has been proven by this time suck of a thread. Furthermore, if there is no consensus as to whether solutions exist, you damn well do have to prove they do before you can posit that a specific solution exists. They didn't skip speed on their way to the speed of light.
