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Re: help i'm stuck in a liar's paradox

From Kaz Kylheku <643-408-1753@kylheku.com>
Newsgroups comp.theory, sci.logic, comp.ai.philosophy, sci.math
Subject Re: help i'm stuck in a liar's paradox
Date 2025-11-19 19:47 +0000
Organization A noiseless patient Spider
Message-ID <20251119113813.580@kylheku.com> (permalink)
References (26 earlier) <10fj75p$1udbr$1@dont-email.me> <10fku3m$2d0vq$1@dont-email.me> <10fl33s$2do5h$2@dont-email.me> <20251119104426.66@kylheku.com> <10fl57i$2do5g$1@dont-email.me>

Cross-posted to 4 groups.

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On 2025-11-19, dart200 <user7160@newsgrouper.org.invalid> wrote:
> On 11/19/25 10:48 AM, Kaz Kylheku wrote:
>> On 2025-11-19, dart200 <user7160@newsgrouper.org.invalid> wrote:
>>> On 11/19/25 9:17 AM, Tristan Wibberley wrote:
>>>> On 19/11/2025 01:40, dart200 wrote:
>>>>
>>>>> i'm currently a bit stumped on dealing with a possible a halting paradox
>>>>> constructed within RTMs, using an RTM simulating a TM simulating an RTM.
>>>>> this chain similarly mechanically cuts off the required information to
>>>>> avoid a paradox, kinda like a TM alone. not fully confident it's a
>>>>> problem or not
>>>>
>>>> It sounds equivalent to problems of security wrt. leaky sandboxes.
>>>> Interesting stuff. Maybe valuable too.
>>>
>>> i'm actually pretty distraught over this rn. who's gunna care if all i
>>> did was reframe the halting problem?? i'm stuck on quite literally a
>>> liar's paradox, with emphasis on a clear lie taking place
>>>
>>> specifically: the simulated TM simulating an RTM is lying about the true
>>> runtime context, bamboozling reflection's ability to prevent paradox
>>> construction
>> 
>> Don't you have mechanisms to prevent the procedures from being
>> able to manipulate the environment?
>> 
>>> und = () -> {
>>>     simTM {
>>>       if ( simRTM{halts(und)} )
>>>         loop_forever()
>>>       else
>>>         return
>>>     }
>>> }
>> 
>> So in ths above construction, simTM creates a contour around a new
>> context, which is empty?
>
> essentially yes. simTM does not support REFLECT, so simulations within 
> the simulation have no method of accessing the runtime context, creating 
> the illusion (or lie) of an null context

In a computational system with context, functions do not have a halting
status that depends only on their arguments, but on their arguments plus
context.

Therefore, the question "does this function halt when applied to these
arguments" isn't right in this domain; it needs to be "does this function,
in a context with such and such content, and these arguments, halt".

Then, to have a diagonal case whch opposes the decider, that diagonal
case has to be sure to be using that same context, otherwise it
is not diagonal; i.e.

  in_context C { // <-- but but construct is banned!

     // D, in context C "behaves opposite" to the decision
     // produced by H regarding D in context C:

     D() {
       if (H(D, C))
         loop();
     }
  }

Or:

  D() {
    let C = getParentContext(); // likewise banned?

    if (H(D, C))
      loop();
  }



-- 
TXR Programming Language: http://nongnu.org/txr
Cygnal: Cygwin Native Application Library: http://kylheku.com/cygnal
Mastodon: @Kazinator@mstdn.ca

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Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-12 08:45 -0600
  Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-12 11:57 -0600
    Re: Rejecting expressions of formal language having pathological self-reference Alan Mackenzie <acm@muc.de> - 2025-11-12 18:12 +0000
      Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-14 14:30 -0600
        Re: Rejecting expressions of formal language having pathological self-reference Alan Mackenzie <acm@muc.de> - 2025-11-14 20:43 +0000
          "true on the basis of meaning" AKA Analytic(Olcott) olcott <polcott333@gmail.com> - 2025-11-16 10:01 -0600
            Re: "true on the basis of meaning" AKA Analytic(Olcott) Alan Mackenzie <acm@muc.de> - 2025-11-16 22:20 +0000
              Re: "true on the basis of meaning" AKA Analytic(Olcott) olcott <polcott333@gmail.com> - 2025-11-17 11:36 -0600
                Re: "true on the basis of meaning" AKA Analytic(Olcott) Alan Mackenzie <acm@muc.de> - 2025-11-17 21:11 +0000
                Re: "true on the basis of meaning" AKA Analytic(Olcott) olcott <polcott333@gmail.com> - 2025-11-17 17:45 -0600
                Re: "true on the basis of meaning" AKA Analytic(Olcott) Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-18 02:28 +0000
                Re: "true on the basis of meaning" AKA Analytic(Olcott) olcott <polcott333@gmail.com> - 2025-11-17 21:51 -0600
                Re: "true on the basis of meaning" AKA Analytic(Olcott) olcott <polcott333@gmail.com> - 2025-11-18 09:15 -0600
              The halting problem is merely the Liar Paradox in disguise olcott <polcott333@gmail.com> - 2025-11-17 16:59 -0600
                Re: The halting problem is merely the Liar Paradox in disguise Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-17 23:22 +0000
                Re: The halting problem is merely the Liar Paradox in disguise Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-18 06:40 +0000
                Re: The halting problem is merely the Liar Paradox in disguise Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-19 01:03 +0000
                Re: The halting problem is merely the Liar Paradox in disguise olcott <polcott333@gmail.com> - 2025-11-18 19:36 -0600
                Re: The halting problem is merely the Liar Paradox in disguise Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-19 18:51 +0000
                Re: The halting problem is merely the Liar Paradox in disguise olcott <polcott333@gmail.com> - 2025-11-19 14:22 -0600
                Re: The halting problem is merely the Liar Paradox in disguise Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-19 20:55 +0000
                Re: The halting problem is merely the Liar Paradox in disguise olcott <polcott333@gmail.com> - 2025-11-19 21:24 -0600
                Re: The halting problem is merely the Liar Paradox in disguise Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-20 20:49 +0000
                Re: The halting problem is merely the Liar Paradox in disguise olcott <polcott333@gmail.com> - 2025-11-21 13:50 -0600
                Re: The halting problem is merely the Liar Paradox in disguise Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-21 22:05 +0000
                Re: The halting problem is merely the Liar Paradox in disguise Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-19 02:47 +0000
                Re: The halting problem is merely the Liar Paradox in disguise olcott <polcott333@gmail.com> - 2025-11-18 21:04 -0600
                Re: The halting problem is merely the Liar Paradox in disguise Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-21 01:14 +0000
                Re: The halting problem is merely the Liar Paradox in disguise Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-21 01:28 +0000
                Re: The halting problem is merely the Liar Paradox in disguise olcott <polcott333@gmail.com> - 2025-11-20 22:00 -0600
              Re: "true on the basis of meaning" AKA Analytic(Olcott) olcott <polcott333@gmail.com> - 2025-11-17 18:07 -0600
              Re: polcott agrees with the halting problem olcott <polcott333@gmail.com> - 2025-11-17 18:31 -0600
                Re: polcott agrees with the halting problem dbush <dbush.mobile@gmail.com> - 2025-11-17 19:43 -0500
                Re: polcott agrees with the halting problem dart200 <user7160@newsgrouper.org.invalid> - 2025-11-17 18:46 -0800
                Re: polcott agrees with the halting problem Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-18 03:07 +0000
                Re: polcott agrees with the halting problem dart200 <user7160@newsgrouper.org.invalid> - 2025-11-17 19:10 -0800
                Re: polcott agrees with the halting problem "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-17 19:36 -0800
                Re: polcott agrees with the halting problem dart200 <user7160@newsgrouper.org.invalid> - 2025-11-17 21:18 -0800
                Re: polcott agrees with the halting problem "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-18 15:10 -0800
                Re: polcott agrees with the halting problem dart200 <user7160@newsgrouper.org.invalid> - 2025-11-18 17:40 -0800
                Re: polcott agrees with the halting problem olcott <polcott333@gmail.com> - 2025-11-18 19:46 -0600
                Re: polcott agrees with the halting problem Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-19 17:17 +0000
                help i'm stuck in a liar's paradox dart200 <user7160@newsgrouper.org.invalid> - 2025-11-19 10:43 -0800
                Re: help i'm stuck in a liar's paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-19 18:48 +0000
                Re: help i'm stuck in a liar's paradox dart200 <user7160@newsgrouper.org.invalid> - 2025-11-19 11:19 -0800
                Re: help i'm stuck in a liar's paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-19 19:47 +0000
                Re: help i'm stuck in a liar's paradox --- TXR and AWK olcott <polcott333@gmail.com> - 2025-11-19 14:49 -0600
                Re: help i'm stuck in a liar's paradox dart200 <user7160@newsgrouper.org.invalid> - 2025-11-19 21:01 -0800
                Re: help i'm stuck in a liar's paradox olcott <polcott333@gmail.com> - 2025-11-19 14:18 -0600
                Re: polcott agrees with the halting problem "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-19 13:03 -0800
                Re: polcott agrees with the halting problem Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-18 03:45 +0000
                polcott agrees the halting problem is wrong olcott <polcott333@gmail.com> - 2025-11-17 22:07 -0600
                Re: polcott agrees with the halting problem Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-19 17:41 +0000
                polcott agrees the halting problem is incorrect olcott <polcott333@gmail.com> - 2025-11-19 12:37 -0600
                Re: polcott agrees the halting problem is incorrect Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-19 20:55 +0000
                Re: polcott agrees the halting problem is incorrect olcott <polcott333@gmail.com> - 2025-11-19 15:05 -0600
                Re: polcott agrees the halting problem is incorrect Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-19 21:41 +0000
                Re: polcott agrees the halting problem is incorrect olcott <polcott333@gmail.com> - 2025-11-19 21:12 -0600
                Re: polcott agrees the halting problem is incorrect Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-20 04:42 +0000
                Re: polcott agrees the halting problem is incorrect olcott <polcott333@gmail.com> - 2025-11-19 22:57 -0600
                Re: polcott agrees the halting problem is incorrect "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-20 13:22 -0800
                Re: polcott agrees the halting problem is incorrect Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-20 22:10 +0000
                Re: polcott agrees the halting problem is incorrect "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-20 14:56 -0800
                polcott agrees that the halting problem is incorrect in this way olcott <polcott333@gmail.com> - 2025-11-17 21:47 -0600
                Re: polcott agrees with the halting problem Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-11-18 23:47 +0000
                Re: polcott agrees with the halting problem Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-19 00:13 +0000
                Re: polcott agrees with the halting problem Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-11-19 00:57 +0000
                polcott has shwn that the halting problem is incorrect olcott <polcott333@gmail.com> - 2025-11-18 18:17 -0600
                Re: polcott agrees with the halting problem dart200 <user7160@newsgrouper.org.invalid> - 2025-11-19 10:26 -0800
                Re: polcott agrees with the halting problem Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-11-19 19:42 +0000
                polcott agrees the halting problem is incorrect --- quit lying about what I say olcott <polcott333@gmail.com> - 2025-11-19 14:45 -0600
                Re: polcott agrees with the halting problem "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-19 12:51 -0800
                Re: polcott agrees with the halting problem Jeff Barnett <jbb@notatt.com> - 2025-11-19 16:04 -0700
                Re: polcott agrees with the halting problem olcott <polcott333@gmail.com> - 2025-11-19 17:43 -0600
                Re: polcott agrees with the halting problem Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-11-20 00:04 +0000
                homework assignment for the group: multi-decider paradox dart200 <user7160@newsgrouper.org.invalid> - 2025-11-19 18:08 -0800
                Re: homework assignment for the group: multi-decider paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-20 02:29 +0000
                Re: homework assignment for the group: multi-decider paradox dart200 <user7160@newsgrouper.org.invalid> - 2025-11-19 18:49 -0800
                Re: homework assignment for the group: multi-decider paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-20 02:58 +0000
                Re: homework assignment for the group: multi-decider paradox dart200 <user7160@newsgrouper.org.invalid> - 2025-11-19 19:53 -0800
                Re: homework assignment for the group: multi-decider paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-20 19:55 +0000
                Re: homework assignment for the group: multi-decider paradox dart200 <user7160@newsgrouper.org.invalid> - 2025-11-20 12:03 -0800
                Re: homework assignment for the group: multi-decider paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-20 20:14 +0000
                Re: homework assignment for the group: multi-decider paradox Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-20 20:24 +0000
                Re: homework assignment for the group: multi-decider paradox Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-20 07:22 +0000
                Re: polcott agrees with the halting problem "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-20 18:10 -0800
                Re: polcott agrees with the halting problem olcott <polcott333@gmail.com> - 2025-11-17 21:37 -0600
              Re: the halting problem is founded in computer science not math olcott <polcott333@gmail.com> - 2025-11-18 14:12 -0600
              Making True(Language L, Expression E) always computable olcott <polcott333@gmail.com> - 2025-11-21 09:09 -0600
              halting problem counter example H/D pair is the Liar Paradox olcott <NoOne@NoWhere.com> - 2025-11-21 21:34 -0600
                Re: halting problem counter example H/D pair is the Liar Paradox Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-22 04:26 +0000
                Re: halting problem counter example H/D pair is the Liar Paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-22 06:08 +0000
                Re: halting problem counter example H/D pair is the Liar Paradox olcott <polcott333@gmail.com> - 2025-11-22 07:16 -0600
                Re: halting problem counter example H/D pair is the Liar Paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-22 16:45 +0000
                Re: halting problem counter example H/D pair is the Liar Paradox olcott <polcott333@gmail.com> - 2025-11-22 11:14 -0600
                Re: halting problem counter example H/D pair is the Liar Paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-22 17:44 +0000
                Re: halting problem counter example H/D pair is the Liar Paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-23 04:11 +0000
      Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-16 14:37 -0600
    Re: Rejecting expressions of formal language having pathological self-reference Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-12 18:39 +0000
      Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-12 12:52 -0600
        Re: Rejecting expressions of formal language having pathological self-reference Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-13 02:36 +0000
          Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-12 20:57 -0600
            Re: Rejecting expressions of formal language having pathological self-reference Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-13 03:22 +0000
              Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-12 22:43 -0600
                Re: Rejecting expressions of formal language having pathological self-reference Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-13 08:44 +0000
                Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-13 09:38 -0600
                Re: Rejecting expressions of formal language having pathological self-reference Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-13 18:57 +0000
    Re: Rejecting expressions of formal language having pathological self-reference Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-14 00:09 +0000
      Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-13 18:45 -0600
        Re: Rejecting expressions of formal language having pathological self-reference Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-14 01:02 +0000
          Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-13 20:29 -0600
            Re: Rejecting expressions of formal language having pathological self-reference Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-14 13:09 +0000
              Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-14 07:42 -0600
        Re: Rejecting expressions of formal language having pathological self-reference Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-14 01:14 +0000
          Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-13 20:33 -0600
      Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-14 10:45 -0600
  Re: Rejecting expressions of formal language having pathological self-reference Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-13 02:22 +0000
    Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-12 20:32 -0600
      Re: Rejecting expressions of formal language having pathological self-reference Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-13 02:38 +0000
        Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-12 22:48 -0600
        Re: Rejecting expressions of formal language having pathological self-reference Richard Heathfield <rjh@cpax.org.uk> - 2025-11-13 04:50 +0000
          Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-12 23:00 -0600
          Re: Rejecting expressions of formal language having pathological self-reference "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-13 00:16 -0800
  Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-26 09:27 -0600
    Re: Rejecting expressions of formal language having pathological self-reference Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-26 19:46 +0000
      Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-26 14:07 -0600
        Re: Rejecting expressions of formal language having pathological self-reference Richard Damon <Richard@Damon-Family.org> - 2025-11-26 21:00 -0500
        Re: Rejecting expressions of formal language having pathological self-reference Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-01 14:45 +0000
          Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-12-01 09:18 -0600
      Re: Rejecting expressions of formal language having pathological self-reference Mikko <mikko.levanto@iki.fi> - 2025-11-27 10:22 +0200
        Re: Rejecting expressions of formal language having pathological self-reference "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-27 00:39 -0800
    Re: Rejecting expressions of formal language having pathological self-reference Mikko <mikko.levanto@iki.fi> - 2025-11-27 10:20 +0200
      Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-27 09:49 -0600
        Re: Rejecting expressions of formal language having pathological self-reference Richard Damon <Richard@Damon-Family.org> - 2025-11-27 12:27 -0500
        Re: Rejecting expressions of formal language having pathological self-reference Mikko <mikko.levanto@iki.fi> - 2025-11-28 10:45 +0200
          Re: Rejecting expressions of formal language having pathological self-reference olcott <polcott333@gmail.com> - 2025-11-28 09:22 -0600
            Re: Rejecting expressions of formal language having pathological self-reference Mikko <mikko.levanto@iki.fi> - 2025-11-29 12:28 +0200

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