Re: a question for the anti-Cantorians

Robert Kolker said:
> Tony Orlow (aeo6) wrote:
>
> >
> > It seems to be considerably more relaible in this case to a set of unfounded
> > axioms,
>
> All mathematical axioms are (emprically) unfounded. They are abstract.
> They say nothing about the world.
>
> Bob Kolker
>
>
They are supposed to be facts assumed to be true. That is why they are not
questioned. Some people question the existence of the very world around them. I
have come to the conclusion that that's a waste of time, that we have to assume
some things are true, and try to build upon them. We have to keep in mind,
however, that we have assumed things true, if we haven't derived their truth by
other means, and that even if we have derived them from some other truths,
those rest on some level upon things assumed to be true. Some assumed truths
survive a long time before being displaced by contradictions. None is immune
from the possibility of being falsified. That's why it is so important to try
to resolve contradiction as we go along, by placing concepts within an
environment of realted concepts, not in a capsule in space unrealted to
anything else.
--
Smiles,

Tony
.

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