Re: Extrapolating linear ratios

On Thu, 18 Dec 2008 13:23:35 -0800 (PST), WM
<mueckenh@xxxxxxxxxxxxxxxxx> wrote:

On 18 Dez., 20:37, stevendaryl3...@xxxxxxxxx (Daryl McCullough) wrote:
WM says...

Assume you are dreaming. You have a nightmare. Is it possible to prove
by logic that you are dreaming? No. Some realms simply are
unaccessible to logic, in particular such that do not exist - like the
nightmare of completed infinity.

I think that you've got this analogy backwards. *You* are dreaming,

I think that the cardinal number of a set of positive even numbers
cannot surpass the values of all elements of the set.

An argument in favour of my position lies in the obeservation that
this is true for every finite set.

I on the other hand think that birds cannot fly. An argument in
favor of this is the fact that monkey's can't fly. Nor can cats or
dogs.

What's that? Birds are not monkeys you say? Hmm, never mind.

Infinite sets are not finite. You seem to have missed that in
your otherwise exemplary reasoning.

This can be proved by counting.
Another argument is that every infinite set is but a union of finite
sets.

What argument do you have for the counter position (except that it is
impossible to check your position by counting)?

Regards, WM

David C. Ullrich

"Understanding Godel isn't about following his formal proof.
That would make a mockery of everything Godel was up to."
(John Jones, "My talk about Godel to the post-grads."
in sci.logic.)
.

Relevant Pages

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