Re: Two results of set geometry

On 18 Sep., 17:52, William Hughes <wpihug...@xxxxxxxxxxx> wrote:

WM is an ultrafinitist.

A realist.

This he does not accept the existence
of an infinite or potentially infinite set (I never said he
was consistent).

No? But that does not exclude that I am, does it?

For small numbers local logic is sufficient --- as it is sufficient
to
assume a flat earth if you want to erect a building. If, however, you
want to know how many buildings can be erected on the earth, it would
be advisable, to take into account its correct shape --- as it is
advisable to take into account universal logic if you ponder about
general questions of existence. Universal logic includes the fact
that
no proof can have more than 10^100 steps, no set can have more than
10^100 elements, and no number can have more than 10^100 independent
numerals. Compare the number of buildings fitting on the surface of
the earth.

Mathematicians who use local logic only are simply a bit naive as are
those people who thought (or think) the earth was a flat disk.

Regards, WM

.

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