Re: Collatz Conjecture proved.

From	wij <wyniijj5@gmail.com>
Newsgroups	comp.lang.c
Subject	Re: Collatz Conjecture proved.
Date	2026-01-27 04:34 +0800
Organization	A noiseless patient Spider
Message-ID	<5a18750c1bfccca69018e122b83f142fda7004b4.camel@gmail.com> (permalink)
References	(4 earlier) <10l5g5u$1pdvi$1@dont-email.me> <9dca223cfefd1e3e79492484e04d9ca343637fa2.camel@gmail.com> <10l6c9o$1b3n6$2@dont-email.me> <3198f8ff46a9ed1d1c107849375c1b3276e44a5a.camel@gmail.com> <10l8hhh$2qbti$2@dont-email.me>

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On Mon, 2026-01-26 at 21:07 +0100, David Brown wrote:
> On 26/01/2026 16:51, wij wrote:
> > On Mon, 2026-01-26 at 01:25 +0100, Janis Papanagnou wrote:
> > > (I probably regret answering to your post.)
> > > 
> > > On 2026-01-25 18:20, wij wrote:
> > > > 
> > > > You need to prove 4/33 exactly equal to 0.1212..., not approximation.
> > > 
> > > Is that all you want proven; a specific example?
> > > 
> > > This appears to be as trivial as the more general approach that James
> > > gave and that you (for reasons beyond me) don't accept (or don't see).
> > > 
> > > First
> > >       __
> > >     0.12   or   0.1212...
> > > 
> > > are just finite representations of real numbers; conventions. And 4/33
> > > is an expression representing an operation, the division. You can just
> > > do that computation (as you've certainly learned at school decades ago)
> > > in individual steps, continuing each step with the remainder
> > > 
> > >     4/33 = 0     => 0
> > >     40/33 = 1    => 0.1
> > >     remainder 7
> > >     70/33 = 2    => 0.12
> > >     remainder 4
> > >     40/33 = 1    and at this point you see that the _operations_ *repeat*
> > > 
> > > so the calculated decimals (1 and 2) will also repeat. And sensibly we
> > > need a finite representation (see above) to express that.
> > > 
> > >     Albert Einstein (for example) said: „Die Definition von Wahnsinn ist,
> > >     immer wieder das Gleiche zu tun und andere Ergebnisse zu erwarten“.
> > > 
> > > Are you expecting the sequence of decimals differing at some point?
> > > 
> > > If not you see that the number represented by the convention "0.1212..."
> > > equals to the number calculated or expressed by "4/33".
> > > 
> > > Janis
> > Not quite sure what you mean.
> > 
> > https://sourceforge.net/projects/cscall/files/MisFiles/RealNumber2-en.txt/download
> >           3. 1/3 = 0.333... + non-zero-remainder (True identity. How to deny?)
> > 
> > How would you deny it, and call the cut-off 'equation' identity?
> 
> Have you ever heard of the concept of "limits" ?  You might want to 
> learn something about them before embarrassing yourself.

What do you know about the concept of "limits"? (You invented? Don't try to be
the next one, again. I remember the other expert in this forum has humiliated himself
once, not sure which one, if I can safely predict. And I ignored the other reply,
because it is too obvious, I leave as record)

> > You cut off non-zero-remainder to stop repeating, so yes, you see the part you
> > want to see, i.e. the front part without "...", and forgot the definition
> > "infinitely repeat" is invalidated.
> > Let n(i) be the repeating number 0.999... The range [n(i),1] remains 1-1
> > correspondence to [0,1] in each step, nothing changed except scale. Or you
> > suggests every zooming of the small area of Mandelbrot set will be 'empty' or
> > uniform or 'stop' for some mysterious reason.
> > 
> > I assume you disagee my point in the previous post that every denial must
> > refute Prop 1= Repeating N+N infinitely does not yield natural number.
> >         Prop 2= Repeating Q+Q infinitely does not yield rational number.
> >                 (precisely, positive rational number)
> >

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Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2025-12-24 20:05 +0800
  Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-25 00:37 +0800
    Re: Collatz Conjecture proved. Lawrence D’Oliveiro <ldo@nz.invalid> - 2026-01-25 00:23 +0000
    Re: Collatz Conjecture proved. James Kuyper <jameskuyper@alumni.caltech.edu> - 2026-01-24 23:06 -0500
      Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-25 13:28 +0800
        Re: Collatz Conjecture proved. Lawrence D’Oliveiro <ldo@nz.invalid> - 2026-01-25 08:15 +0000
          Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-25 16:46 +0800
            Re: Collatz Conjecture proved. David Brown <david.brown@hesbynett.no> - 2026-01-25 10:38 +0100
              Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-25 18:55 +0800
              Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-25 19:06 +0800
                Re: Collatz Conjecture proved. David Brown <david.brown@hesbynett.no> - 2026-01-25 12:47 +0100
                Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-25 23:44 +0800
                Re: Collatz Conjecture proved. James Kuyper <jameskuyper@alumni.caltech.edu> - 2026-01-25 12:22 -0500
            [OT] Proofs.  Was: Collatz Conjecture proved. Ben Bacarisse <ben@bsb.me.uk> - 2026-01-25 11:33 +0000
              Re: [OT] Proofs.  Was: Collatz Conjecture proved. richard@cogsci.ed.ac.uk (Richard Tobin) - 2026-01-25 13:11 +0000
            Re: Collatz Conjecture proved. Lawrence D’Oliveiro <ldo@nz.invalid> - 2026-01-25 18:52 +0000
              Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-26 03:58 +0800
        Re: Collatz Conjecture proved. James Kuyper <jameskuyper@alumni.caltech.edu> - 2026-01-25 11:25 -0500
          Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-26 01:20 +0800
            Re: Collatz Conjecture proved. Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2026-01-26 01:25 +0100
              Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-26 23:51 +0800
                Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-27 00:07 +0800
                Re: Collatz Conjecture proved. David Brown <david.brown@hesbynett.no> - 2026-01-26 21:05 +0100
                Re: Collatz Conjecture proved. David Brown <david.brown@hesbynett.no> - 2026-01-26 21:07 +0100
                Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-27 04:34 +0800
                Re: Collatz Conjecture proved. David Brown <david.brown@hesbynett.no> - 2026-01-27 09:21 +0100
                Re: Collatz Conjecture proved. antispam@fricas.org (Waldek Hebisch) - 2026-01-27 16:31 +0000
                Re: Collatz Conjecture proved. Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2026-01-27 18:24 +0100
                Re: Collatz Conjecture proved. antispam@fricas.org (Waldek Hebisch) - 2026-01-28 15:17 +0000
                Re: Collatz Conjecture proved. David Brown <david.brown@hesbynett.no> - 2026-01-27 18:44 +0100
                Re: Collatz Conjecture proved. Lawrence D’Oliveiro <ldo@nz.invalid> - 2026-01-27 22:52 +0000
                Re: Collatz Conjecture proved. David Brown <david.brown@hesbynett.no> - 2026-01-28 08:29 +0100
                Re: Collatz Conjecture proved. Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2026-01-28 10:27 +0100
                Re: Collatz Conjecture proved. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-01-28 12:59 -0800
                Re: Collatz Conjecture proved. Janis Papanagnou <janis_papanagnou+ng@hotmail.com> - 2026-01-30 06:33 +0100
                Re: Collatz Conjecture proved. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-01-30 11:59 -0800
                Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-28 04:08 +0800
                Re: Collatz Conjecture proved. Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2026-01-27 15:11 -0800
                Re: Collatz Conjecture proved. Ben Bacarisse <ben@bsb.me.uk> - 2026-01-28 17:34 +0000
                Re: Collatz Conjecture proved. richard@cogsci.ed.ac.uk (Richard Tobin) - 2026-01-28 18:23 +0000
                Re: Collatz Conjecture proved. David Brown <david.brown@hesbynett.no> - 2026-01-29 08:39 +0100
                Re: Collatz Conjecture proved. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-01-28 13:02 -0800
                Re: Collatz Conjecture proved. James Kuyper <jameskuyper@alumni.caltech.edu> - 2026-01-26 21:18 -0500
                Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-28 04:01 +0800
            Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-30 08:29 +0800
        Re: Collatz Conjecture proved. Tim Rentsch <tr.17687@z991.linuxsc.com> - 2026-01-27 19:46 -0800
          Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-28 12:34 +0800
            Re: Collatz Conjecture proved. Tim Rentsch <tr.17687@z991.linuxsc.com> - 2026-02-03 04:16 -0800
          Re: Collatz Conjecture proved. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-01-28 13:04 -0800
    Re: Collatz Conjecture proved. Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2026-01-29 16:50 +0000
      Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-30 05:40 +0800
        Re: Collatz Conjecture proved. Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2026-01-30 02:20 +0000
          Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-30 11:03 +0800
            Re: Collatz Conjecture proved. Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2026-01-30 04:22 +0000
            Re: Collatz Conjecture proved. Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2026-01-29 20:38 -0800
              Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-31 05:30 +0800
                Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-02-06 14:16 +0800
          Re: Collatz Conjecture proved. wij <wyniijj5@gmail.com> - 2026-01-30 11:52 +0800
  Re: Collatz Conjecture proved. Jan van den Broek <fortytwo@xs4all.nl> - 2026-01-31 14:11 +0100
    Re: Collatz Conjecture proved. Tim Rentsch <tr.17687@z991.linuxsc.com> - 2026-02-03 03:58 -0800
      Re: Collatz Conjecture proved. Jan van den Broek <balglaas@dds.nl> - 2026-02-03 21:27 +0000

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