Re: Modern Pythagorean

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From	Keith Thompson <Keith.S.Thompson+u@gmail.com>
Newsgroups	comp.lang.c
Subject	Re: Modern Pythagorean
Followup-To	comp.theory
Date	Mon, 29 Aug 2022 02:18:03 -0700
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Followups directed to: comp.theory

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wij <wyniijj2@gmail.com> writes:
> Pythagorean: Any number can be infinitely approached by ratio p/q. There is
> no REAL number (e.g. the diagonal of a square) that cannot be approached by
> ratio number.
>
> The limit theory perfectly says THE LIMIT of lim(x->c) f(x) is L, and
> jumps to (logically invalid) conclusion f(c)=L (EQUAL).
> lim(x->1) x= 1 ... yes x can be 1
> lim(x->1) 1/(x-1)=? ... no x cannot be 1
> lim(x->∞) n/x=0 ... whatever, the magic of infinity emerges. (no x in
> ℝ can make 1/x=2/x=0, ∞ is also said not in ℝ)
>
> PS. I believe TM (program,algorithm) should/would be the foundation of math.
> These are for programmers.

I encourage anyone who wants to discuss this to do so in comp.theory,
where wij also posted.  (Note the complete lack of any content relevant
to C.)

-- 
Keith Thompson (The_Other_Keith) Keith.S.Thompson+u@gmail.com
Working, but not speaking, for Philips
void Void(void) { Void(); } /* The recursive call of the void */

Thread

Modern Pythagorean wij <wyniijj2@gmail.com> - 2022-08-28 21:53 -0700
  Re: Modern Pythagorean Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-08-29 02:18 -0700
    Re: Modern Pythagorean Jan van den Broek <balglaas@dds.nl> - 2022-08-29 10:15 +0000
      Re: Modern Pythagorean gazelle@shell.xmission.com (Kenny McCormack) - 2022-08-29 13:15 +0000
        Re: Modern Pythagorean Jan van den Broek <balglaas@dds.nl> - 2022-08-29 13:37 +0000
          Re: Modern Pythagorean gazelle@shell.xmission.com (Kenny McCormack) - 2022-08-29 16:23 +0000
      Re: Modern Pythagorean Manu Raju <MR@invalid.invalid> - 2022-08-29 17:30 +0100
        Re: Modern Pythagorean Jan van den Broek <balglaas@dds.nl> - 2022-08-29 17:56 +0000
      Re: Modern Pythagorean Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2022-08-29 11:15 -0700
        Re: Modern Pythagorean Anton Shepelev <anton.txt@gmail.com> - 2022-08-30 00:33 +0300
        Re: Modern Pythagorean Jan van den Broek <balglaas@dds.nl> - 2022-08-30 06:37 +0000
    Re: Modern Pythagorean wij <wyniijj2@gmail.com> - 2022-08-31 00:48 -0700

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