Re: Two results of set geometry

On 17 Sep., 21:47, Tony Orlow <t...@xxxxxxxxxxxxx> wrote:

Do you disagree that, for any rational number, it can be distinguished
from pi, as being either greater or less than pi?

I diagree. The rational number which is made up from the first 10^100
digits of pi and a subsequent 5 cannot be distinguished from pi as
being greaer or less.

Based on what premise? If you already knew the first 10^100 digits of
pi, you couldn't calculate the next digit and tell if it were greater or
less than 5? To whatever accuracy you have attained, you can attain
greater, so that argument flops with me. Sorry.

It is impossible to know the first 10^100 digits of pi because the
universe including your and my brain has less memory space.

All numbers are ideas, but there is a difference between the point on
the real line and the digital representation of it. No completed digital
representation, in any natural base, exists for pi. That doesn't mean
the point doesn't exist on the real line.

It does.

It is.

Try to show it.

It can be distinguished from
every rational number, in the general quantitative order of the line.

False. See above.

Seen it. Wasn't impressed.


Your fault.



I am not, of course, referring to physical atoms, but to "atom" in the
more general sense as an indivisible element, such as a point in space,
or a symbol in a string.

Mathematics needs physics for representation.

Regards, WM

.

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