Re: Ultimate debunking of Cantor's Theory

On Jul 15, 1:31 pm, Rotwang <sg...@xxxxxxxxxxxxx> wrote:
Of course there's no reason why you should believe me and not
them when I say this, if you don't think my posts stand up on their
own (which you evidently don't).

I just looked over all of your posts, and to the
extent that I can understand them, I don't have
any disagreements, except two:

You seemed to be saying that an analogy could be
made between saying 'set of all sets' and saying
'infinite set of natural numbers'.

And you said you doubted that one could prove
that the natural numbers form an infinite set
without the axiom of infinity.

As to the latter, I was wrong to question your
motivation, and I'm sorry.

But this thing about the axiom of infinity is
illustrative of what I was complaining about in
the post that you just responded to.
There are things that the dullest among us can
know and understand and prove conclusively without
knowing anything at all about set theory, and
the unlimited nature of the total collection of
natural numbers is, I believe, one of them.

If one becomes interested in the set-theoretical
basis of the foundations of mathemetics, then by
all means, study all necessary and sufficient
axioms.

But don't try to deny Joe Blow the simple pleasure
of doing what he can do, correctly and conclusively,
without going into set theory at all.

.

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