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Topic:
Cantor's absurdity, once again, why not?
Replies:
77
Last Post:
Mar 19, 2013 11:02 PM



Virgil
Posts:
8,833
Registered:
1/6/11


Re: Cantor's absurdity, once again, why not?
Posted:
Mar 14, 2013 4:37 PM


In article <024bf074c1c14a99ad5dbc592ef0375e@googlegroups.com>, david petry <david_lawrence_petry@yahoo.com> wrote:
> On Thursday, March 14, 2013 3:17:06 AM UTC7, 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 > welldefined list of provably welldefined real numbers (so that every digit > of every number on the list can provably be computed), the diagonal argument > gives us a new provably welldefined 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. 



