Re: The halting problem is self-contradictory

From	Kaz Kylheku <643-408-1753@kylheku.com>
Newsgroups	comp.theory, sci.logic, comp.lang.c, sci.math
Subject	Re: The halting problem is self-contradictory
Date	2025-10-15 03:34 +0000
Organization	A noiseless patient Spider
Message-ID	<20251014202441.931@kylheku.com> (permalink)
References	<10cn08f$3c8c3$1@dont-email.me> <20251014193940.96@kylheku.com> <10cn303$3cvon$1@dont-email.me>

Cross-posted to 4 groups.

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On 2025-10-15, olcott <polcott333@gmail.com> wrote:
> On 10/14/2025 9:46 PM, Kaz Kylheku wrote:
>> On 2025-10-15, olcott <polcott333@gmail.com> wrote:
>>> 5. In short
>>>
>>> The halting problem as usually formalized is syntactically consistent
>>> only because it pretends that U(p) is well-defined for every p.
>>>
>>> If you interpret the definitions semantically — as saying that
>>> U(p) should simulate the behavior
>> 
>> ... then you're making a grievous mistake. The halting function doesn't
>> stipulate simulation.
>> 
>
> None-the-less it is a definitely reliable way to
> discern the actual behavior that the actual input
> actually specifies.

No, it isn't.  When the input specifies halting behavior
then we know that simulation will terminate in a finite number
of steps. In that case we discern that the input has terminated.

When the input does not terminate, simulation does not inform
about this.

No matter how many steps of the simulation have occurred,
there are always more steps, and we have no idea whether
termination is coming.

In other words, simulation is not a halting decision algorithm.

Exhaustive simulation is what we must desperately avoid
if we are to discern the halting behavior that
the actual input specifies.

You are really not versed in the undergraduate rudiments
of this problem, are you!

> The system that the halting problem assumes is
> logically incoherent when  ...

when it is assumed that halting can be decided; but that inconsitency is
resolved by concluding that halting is not decidable.

... when you're a crazy crank on comp.theory, otherwise all good.

>    "You’re making a sharper claim now — that even
>     as mathematics, the halting problem’s assumed
>     system collapses when you take its own definitions
>     seriously, without ignoring what they imply."
>

I don't know who is supposed to be saying this and to whom;
(Maybe one of your inner vocies to the other? or AI?)

Whoever is making this "sharper claim" is an absolute dullard.

The halting problem's assumed system does positively /not/
collapse when you take its definitions seriously,
and without ignoring what they imply.

(But when have you ever done that, come to think of it.)

Thread

The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-14 21:17 -0500
  Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-15 02:46 +0000
    Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-14 22:04 -0500
      Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-15 03:34 +0000
        Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-14 22:46 -0500
          Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-15 05:36 +0000
            Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-15 06:44 -0500
              Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-15 16:38 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-15 12:12 -0500
                Re: The halting problem is self-contradictory Alan Mackenzie <acm@muc.de> - 2025-10-15 17:19 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-15 12:24 -0500
                Re: The halting problem is self-contradictory Alan Mackenzie <acm@muc.de> - 2025-10-15 18:25 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-15 14:07 -0500
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-16 06:55 +0000
                Re: The halting problem is self-contradictory Richard Heathfield <rjh@cpax.org.uk> - 2025-10-16 08:33 +0100
                The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-16 08:23 -0500
                The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-15 14:14 -0500
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-15 19:01 +0000
                The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-15 14:11 -0500
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-15 18:54 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-15 14:19 -0500
                Re: The halting problem is self-contradictory "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-10-15 13:14 -0700
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-15 20:47 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-15 16:00 -0500
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-15 17:18 -0500
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-16 19:12 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-16 14:58 -0500
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-16 15:56 -0500
                Re: The halting problem is self-contradictory Alan Mackenzie <acm@muc.de> - 2025-10-16 21:07 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-16 16:19 -0500
                Re: The halting problem is self-contradictory Richard Heathfield <rjh@cpax.org.uk> - 2025-10-16 22:25 +0100
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-16 16:39 -0500
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-16 21:46 +0000
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-16 21:45 +0000
                The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-16 17:28 -0500
        Re: The halting problem is self-contradictory cross@spitfire.i.gajendra.net (Dan Cross) - 2025-10-15 12:21 +0000
          Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-15 07:32 -0500
            Re: The halting problem is self-contradictory tTh <tth@none.invalid> - 2025-10-15 16:50 +0200
            Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-15 16:25 +0000
            Re: The halting problem is self-contradictory -- application to c/c++ Mikko <mikko.levanto@iki.fi> - 2025-10-16 12:34 +0300
              Re: The halting problem is self-contradictory -- application to c/c++ olcott <polcott333@gmail.com> - 2025-10-16 08:27 -0500
                Re: The halting problem is self-contradictory -- application to c/c++ "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-10-16 14:03 -0700
                Re: The halting problem is self-contradictory -- application to c/c++ Mikko <mikko.levanto@iki.fi> - 2025-10-17 11:45 +0300
                Re: The halting problem is self-contradictory -- application to c/c++ olcott <polcott333@gmail.com> - 2025-10-17 10:11 -0500
                Re: The halting problem is self-contradictory -- application to c/c++ Mikko <mikko.levanto@iki.fi> - 2025-10-18 11:58 +0300
                Re: The halting problem is self-contradictory -- application to c/c++ olcott <polcott333@gmail.com> - 2025-10-18 05:47 -0500
                Re: The halting problem is self-contradictory -- application to c/c++ Mikko <mikko.levanto@iki.fi> - 2025-10-19 11:39 +0300
                Re: The halting problem is self-contradictory -- application to c/c++ Richard Heathfield <rjh@cpax.org.uk> - 2025-10-19 10:31 +0100
                Re: The halting problem is self-contradictory -- application to c/c++ Mikko <mikko.levanto@iki.fi> - 2025-10-19 14:16 +0300
                Re: The halting problem is self-contradictory -- application to c/c++ Richard Heathfield <rjh@cpax.org.uk> - 2025-10-19 13:38 +0100
                Re: The halting problem is self-contradictory -- application to c/c++ olcott <polcott333@gmail.com> - 2025-10-19 11:04 -0500
                Re: The halting problem is self-contradictory -- application to c/c++ "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-10-19 13:22 -0700
                Re: The halting problem is self-contradictory -- application to c/c++ "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-10-19 13:34 -0700
        Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-14 23:00 -0500
      Re: The halting problem is self-contradictory Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-10-16 05:37 +0100
    Re: The halting problem is self-contradictory Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-10-15 05:39 +0100
      Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-15 05:38 +0000
        The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-15 18:33 -0500
          Re: The Halting Problem is Incoherent Python <jpierre.messager@gmail.com> - 2025-10-15 23:59 +0000
          Re: The Halting Problem is Incoherent Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-10-16 06:46 +0100
            Re: The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-16 08:14 -0500
        Re: The halting problem is self-contradictory Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-10-16 05:53 +0100
          Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-16 07:56 -0500
  Re: The halting problem is self-contradictory Mikko <mikko.levanto@iki.fi> - 2025-10-15 12:15 +0300
    Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-15 07:30 -0500
      Re: The halting problem is self-contradictory Mikko <mikko.levanto@iki.fi> - 2025-10-16 12:21 +0300
        Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-16 08:34 -0500
          Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-16 21:31 +0000
            The halting problem incoherent olcott <polcott333@gmail.com> - 2025-10-16 17:04 -0500
              Re: The halting problem incoherent Mikko <mikko.levanto@iki.fi> - 2025-10-17 11:59 +0300
                Re: The halting problem incoherent olcott <polcott333@gmail.com> - 2025-10-17 06:47 -0500
          Re: The halting problem is self-contradictory Mikko <mikko.levanto@iki.fi> - 2025-10-17 11:54 +0300
            Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-17 10:15 -0500
              Re: The halting problem is self-contradictory Mikko <mikko.levanto@iki.fi> - 2025-10-19 11:42 +0300
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-19 11:08 -0500
                Re: The halting problem is self-contradictory joes <noreply@example.org> - 2025-10-19 18:43 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 10:24 -0500
                Re: The halting problem is self-contradictory joes <noreply@example.org> - 2025-10-20 17:18 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 12:34 -0500
                Re: The halting problem is self-contradictory joes <noreply@example.org> - 2025-10-20 17:41 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 12:47 -0500
                Re: The halting problem is self-contradictory joes <noreply@example.org> - 2025-10-20 18:09 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 13:42 -0500
                Re: The halting problem is self-contradictory joes <noreply@example.org> - 2025-10-20 19:21 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 14:30 -0500
                Re: The halting problem is self-contradictory joes <noreply@example.org> - 2025-10-20 22:15 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 17:33 -0500
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 17:43 -0500
                Re: The halting problem is self-contradictory "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-10-20 15:59 -0700
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-20 23:58 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 19:07 -0500
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-21 01:32 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 20:38 -0500
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-21 02:00 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 21:21 -0500
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-21 03:22 +0000
                The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-20 22:37 -0500
                Re: The Halting Problem is Incoherent dbush <dbush.mobile@gmail.com> - 2025-10-20 23:45 -0400
                Re: The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-20 22:51 -0500
                Re: The Halting Problem is Incoherent dbush <dbush.mobile@gmail.com> - 2025-10-20 23:55 -0400
                Re: The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-20 23:09 -0500
                Re: The Halting Problem is Incoherent dbush <dbush.mobile@gmail.com> - 2025-10-21 08:09 -0400
                Re: The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-21 08:30 -0500
                Re: The Halting Problem is Incoherent dbush <dbush.mobile@gmail.com> - 2025-10-21 09:34 -0400
                Re: The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-21 09:45 -0500
                Re: The Halting Problem is Incoherent dbush <dbush.mobile@gmail.com> - 2025-10-21 10:51 -0400
                Re: The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-21 10:17 -0500
                Re: The Halting Problem is Incoherent dbush <dbush.mobile@gmail.com> - 2025-10-21 11:19 -0400
                Re: The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-23 10:26 -0500
                Re: The Halting Problem is Incoherent dbush <dbush.mobile@gmail.com> - 2025-10-23 11:31 -0400
                Re: The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-23 11:17 -0500
                Re: The Halting Problem is Incoherent dbush <dbush.mobile@gmail.com> - 2025-10-23 12:57 -0400
                Re: The Halting Problem is Incoherent Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-21 05:42 +0000
                Re: The Halting Problem is Incoherent Richard Heathfield <rjh@cpax.org.uk> - 2025-10-21 06:55 +0100
                Re: The Halting Problem is Incoherent olcott <polcott333@gmail.com> - 2025-10-21 01:37 -0500
                Re: The Halting Problem is Incoherent Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-21 16:22 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 20:55 -0500
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-21 02:15 +0000
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 22:02 -0500
                Re: The halting problem is self-contradictory Kaz Kylheku <643-408-1753@kylheku.com> - 2025-10-20 20:59 +0000
                Re: The halting problem is self-contradictory Mikko <mikko.levanto@iki.fi> - 2025-10-20 12:22 +0300
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-20 12:06 -0500
                Re: The halting problem is self-contradictory Mikko <mikko.levanto@iki.fi> - 2025-10-22 11:51 +0300
                Re: The halting problem is self-contradictory olcott <polcott333@gmail.com> - 2025-10-22 07:22 -0500
                Re: The halting problem is self-contradictory Mikko <mikko.levanto@iki.fi> - 2025-10-23 13:04 +0300
    Re: The halting problem is self-contradictory "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-10-15 13:08 -0700
  Re: The halting problem is self-contradictory Richard Damon <Richard@Damon-Family.org> - 2025-10-16 07:55 -0400

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