In article <email@example.com>, david petry <firstname.lastname@example.org> wrote:
> On Thursday, March 14, 2013 3:17:06 AM UTC-7, fom wrote: > > > For example, Wittgenstein understood perfectly > > well how to apply Cantor's argument and he > > certainly is not thought of as believing in > > a completed infinity. > > > Here's an "acceptable" use of the diagonal argument: Given a provably > well-defined list of provably well-defined real numbers (so that every digit > of every number on the list can provably be computed), the diagonal argument > gives us a new provably well-defined real number not on the list. > > Notice that that argument doesn't require the use of an actual infinite. > > > > > However, he also did not attack the mathematicians > > who conducted investigations along those lines. > > He most certainly did mock them. > > > FWIW, I was motivated to start this thread after reading an article you wrote > about problems you had in your encounters with mathematicians who didn't > accept your ideas. I'd like to know a little more about that, although I > admit you really have no obligation to tell us more if you don't want to. > > The mathematics community has simply lost touch with reality.
Physicists may insist that mathematics be limited to what they regard as "reality". But mathematicians needn't. --