Re: Turing computable functions

From	Kaz Kylheku <643-408-1753@kylheku.com>
Newsgroups	comp.theory
Subject	Re: Turing computable functions
Date	2025-09-21 18:52 +0000
Organization	A noiseless patient Spider
Message-ID	<20250921094900.891@kylheku.com> (permalink)
References	(25 earlier) <1758432565-7160@newsgrouper.org> <10ao4l3$1hcdu$2@dont-email.me> <1758439002-7160@newsgrouper.org> <20250921002052.455@kylheku.com> <10ap91b$1r86e$1@dont-email.me>

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On 2025-09-21, dart200 <user7160@newsgrouper.org.invalid> wrote:
> On 9/21/25 8:39 AM, Kaz Kylheku wrote:
>> What do you mean by "paradox"? Do you mean formal logical paradox,
>> referring to a situation in which we cannot assign a stable truth value
>> due to some circularity?
>
> yes
>
> und = () -> halts(und) ? loop_forever() : halt
>
> if halts(und)->true then und() loops forever, but
> if halts(und)->false then und() halts immediately
>
> it's an expression involving an unstable value, and that's precisely 
> where the undecidability comes in. this absolutely bizarre claims of 
> this not being a paradox are just absolutely mind-numbingly retarded

It's not a logical paradox similar to the Liar Paradox.

It is a sort of informal paradox.

It's only "unstable", in a sense, if your goal is to make halts() give
an answer which is correct about its input.

That's not a logical instability; it's just a wish that cannot
come true.

For instance, wishing that "P and not P" should be true doesn't point to
an instability in that expression.

Is an engine logically unstable if, by turning its crankshaft, you are
not able to get a valve to collide with the piston?  No; it's by design.
The valves are moved by a cam shaft, which is linked to the crankshaft
by a timing belt/chain, configured so that the situation cannot occur.

The diagonal case similarly links together the decider and the input
such that the decider's result is always false.

In any instance of this situation, you can assign a stable truth value
to the propositions, without going in circles.

>> Or some other type, like a flawed argument that
>> appears to successfully argue for some absurdity?
>> 
>> Or the everyday paradox in that category of, "gee that looks like it
>> should be false but it's true?"
>> 
>>> liar's paradox: /this sentence is false
>> 
>> This is a situation in which we cannot assign a truth value due
>> to circularity. Such a situation positively does not arise in the
>> diagonal arguments used to prove the incomputability of halting.
>> 
>>> halting paradox: ask decider /if this programs halts, and if so then do
>>> /run forever, but if not then do halts.
>> 
>> The situation is completely stable. Effectively, the diagonal test
>> case has the last word and simply shows the decider's decision
>> to be incorrect. The decision is what it is, true or false; it does
>> not vaccilate due to any circular logic.
>
> yes it does

If you believe so, you have to show what you mean.

>> Crucially, there is no self-reference in the diagonal test case.  The
>> test case D can contain a complete, self-contained implementation of the
>> decider that it is aligned against. So that is not reference.
>
> still involves self-reference. either the diagonal computation will 
> iterate until the self-referencing program is found (like the halting 
> diagonal) or until a reference to the diagonal computation itself is 
> found (like in the case of turing's diagonal across computable numbers).
>
> both forms involve a self-reference that sets up an unstable semantics 
> cannot be decided upon, used to form the basis on a contradiction.

There is no /logical/ contradiction though. The diagonal case behaving
in a manner opposite to the decision isn't a logical contradiction,
because it is not directly expressing a truth value.

That allows us to assign a value of "false" to the proposition
that "the halter's return value corresponds to the halting function",
and be done.

>> The decider can receive its input by copy: also not reference.
>
> semantic nonsense. the copy and self refers to the same underlying 
> mathematical object, so it's still a self-reference.

Yes; clearly that it wrong to say there is no self-reference.
Just no paradoxical self-reference.

The diagonal D test case has to pass some representation of itself to
the decider: it has to refer to an equivalent calculation to itself.

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

Thread

on deciding the undecidable dart200 <user7160@newsgrouper.org.invalid> - 2025-09-18 21:30 +0000
  Re: on deciding the undecidable olcott <polcott333@gmail.com> - 2025-09-18 16:52 -0500
    Re: on deciding the undecidable dart200 <user7160@newsgrouper.org.invalid> - 2025-09-18 22:02 +0000
      Re: on deciding the undecidable olcott <polcott333@gmail.com> - 2025-09-18 17:11 -0500
        Re: on deciding the undecidable dart200 <user7160@newsgrouper.org.invalid> - 2025-09-19 18:19 +0000
          Re: on deciding the undecidable olcott <polcott333@gmail.com> - 2025-09-19 13:24 -0500
            Re: on deciding the undecidable dart200 <user7160@newsgrouper.org.invalid> - 2025-09-19 18:35 +0000
              Re: on deciding the undecidable olcott <polcott333@gmail.com> - 2025-09-19 13:47 -0500
                Re: on deciding the undecidable dart200 <user7160@newsgrouper.org.invalid> - 2025-09-19 18:53 +0000
            Re: on deciding the undecidable Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-19 19:14 +0000
              Re: on deciding the undecidable dart200 <user7160@newsgrouper.org.invalid> - 2025-09-19 19:22 +0000
                Re: on deciding the undecidable olcott <polcott333@gmail.com> - 2025-09-19 15:01 -0500
              Re: on deciding the undecidable olcott <polcott333@gmail.com> - 2025-09-19 14:59 -0500
          Re: on deciding the undecidable Alan Mackenzie <acm@muc.de> - 2025-09-19 18:51 +0000
            Re: on deciding the undecidable dart200 <user7160@newsgrouper.org.invalid> - 2025-09-19 19:03 +0000
              Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 14:57 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-19 20:14 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-19 20:16 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 15:23 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-19 20:41 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-19 20:46 +0000
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-19 20:57 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-19 22:55 +0000
                Re: Turing computable functions Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-09-20 17:48 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 17:04 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-20 05:09 +0000
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-19 20:25 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 15:31 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-19 20:32 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 15:38 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-19 20:48 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 16:58 -0500
                Re: Turing computable functions joes <noreply@example.org> - 2025-09-19 22:11 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 17:30 -0500
                Re: Turing computable functions joes <noreply@example.org> - 2025-09-19 22:35 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 18:07 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-20 00:24 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 19:38 -0500
                Re: Turing computable functions dbush <dbush.mobile@gmail.com> - 2025-09-19 21:09 -0400
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-20 02:26 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 20:40 -0500
                Re: Turing computable functions dbush <dbush.mobile@gmail.com> - 2025-09-19 21:47 -0400
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-20 03:03 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 21:26 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-20 07:49 +0100
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-20 04:40 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 23:49 -0500
                Re: Turing computable functions "Fred. Zwarts" <F.Zwarts@HetNet.nl> - 2025-09-20 09:55 +0200
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 07:40 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-20 17:01 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 12:08 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-20 20:40 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 22:59 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-21 06:50 +0000
                Re: Turing computable functions joes <noreply@example.org> - 2025-09-20 07:19 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 07:22 -0500
                Re: Turing computable functions joes <noreply@example.org> - 2025-09-20 13:02 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 08:10 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-19 23:00 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 18:11 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-20 01:08 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-20 02:12 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 21:39 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-20 03:00 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-19 22:21 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-20 05:02 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 06:52 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-20 15:51 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 10:56 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-20 22:04 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-20 22:10 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 17:34 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-20 23:03 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 18:07 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-20 23:25 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 18:40 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 03:17 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 23:02 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-21 06:16 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 22:23 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 03:24 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-20 23:04 -0500
                Olcott meets Buddha Richard Heathfield <rjh@cpax.org.uk> - 2025-09-21 05:56 +0100
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-21 06:28 +0000
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-21 05:35 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-20 21:54 -0700
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-21 06:21 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 05:29 +0000
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-21 07:06 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 07:16 +0000
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-21 09:19 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 08:42 +0000
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-21 10:24 +0100
                Re: Turing computable functions vallor <vallor@cultnix.org> - 2025-09-21 09:49 +0000
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-21 11:53 +0100
                Re: Turing computable functions --- Correctness Defined !!! olcott <polcott333@gmail.com> - 2025-09-21 09:02 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 14:57 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-21 10:23 -0500
                Re: Turing computable functions vallor <vallor@cultnix.org> - 2025-09-21 09:17 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-21 10:20 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-21 15:39 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 09:27 -0700
                Re: Turing computable functions Alan Mackenzie <acm@muc.de> - 2025-09-21 17:12 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 10:27 -0700
                Re: Turing computable functions Alan Mackenzie <acm@muc.de> - 2025-09-21 17:53 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 17:47 -0700
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-22 02:04 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 20:51 -0700
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-21 21:17 -0700
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-21 21:54 +0100
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-21 18:52 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 17:33 -0700
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-22 01:59 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 21:52 -0700
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-22 05:31 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-21 23:32 -0700
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-22 08:05 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 00:20 -0700
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-22 09:14 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 01:41 -0700
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-22 10:09 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 02:32 -0700
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-22 11:52 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 09:23 -0700
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-22 18:49 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 10:51 -0700
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-22 19:11 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 11:20 -0700
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-22 19:54 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 12:20 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-22 20:13 -0500
                Re: Turing computable functions dbush <dbush.mobile@gmail.com> - 2025-09-22 21:16 -0400
                Re: Turing computable functions wij <wyniijj5@gmail.com> - 2025-09-23 09:22 +0800
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-23 07:15 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-22 12:55 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 11:08 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-22 13:56 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-23 19:10 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 12:18 -0700
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 12:32 -0700
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-23 19:37 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 13:08 -0700
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-23 21:22 +0000
                Re: Turing computable functions Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-09-24 01:00 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 19:15 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 19:53 -0700
                Re: Turing computable functions Jeff Barnett <jbb@notatt.com> - 2025-09-24 01:16 -0600
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 19:05 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 21:08 -0700
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 06:35 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 23:59 -0700
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 07:11 +0000
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-24 18:18 -0700
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 03:11 +0000
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 04:26 +0100
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-23 19:26 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-22 13:31 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-22 20:10 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-22 18:17 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-23 07:00 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 10:02 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-23 16:29 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 10:35 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-23 17:08 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 11:29 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-23 18:18 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 12:35 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-23 18:46 +0100
                Re: Turing computable functions Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-09-23 17:21 +0000
                Re: Turing computable functions dbush <dbush.mobile@gmail.com> - 2025-09-23 14:17 -0400
                Re: Turing computable functions joes <noreply@example.org> - 2025-09-23 10:03 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 10:07 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-23 16:36 +0100
                Re: Turing computable functions dbush <dbush.mobile@gmail.com> - 2025-09-23 14:18 -0400
                Re: Turing computable functions dbush <dbush.mobile@gmail.com> - 2025-09-22 15:12 -0400
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-21 14:23 -0500
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-21 19:45 -0500
                Re: Turing computable functions vallor <vallor@cultnix.org> - 2025-09-21 09:36 +0000
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-21 11:33 +0100
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-21 06:33 +0000
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-21 07:54 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-21 21:34 -0500
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-21 21:10 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-21 23:20 -0500
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-22 16:40 -0700
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-22 04:57 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-22 16:16 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 14:19 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-22 16:44 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 14:53 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-22 17:04 -0500
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-22 16:46 -0700
                Re: Turing computable functions wij <wyniijj5@gmail.com> - 2025-09-23 08:04 +0800
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-22 18:50 -0700
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 21:12 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-22 23:29 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 21:34 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-22 23:42 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-22 21:53 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 09:16 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 10:24 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 12:43 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 11:07 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 13:22 -0500
                Re: Turing computable functions dbush <dbush.mobile@gmail.com> - 2025-09-23 14:30 -0400
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-23 21:51 +0100
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 11:34 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 13:49 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 12:07 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 14:24 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 12:29 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 14:45 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 12:52 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 15:03 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 13:10 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 15:15 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 13:40 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 19:31 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 19:33 -0700
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 19:57 -0700
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 20:49 -0700
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 21:06 -0700
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 21:09 -0700
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 22:03 -0700
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 22:05 -0700
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 22:18 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 22:06 -0500
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 20:19 -0700
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 20:51 -0700
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 22:04 -0700
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 22:14 -0700
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 22:15 -0700
                church-turing thesis debunked dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 22:21 -0700
                Re: church-turing thesis debunked "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 22:22 -0700
                Re: church-turing thesis debunked dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 22:40 -0700
                Re: church-turing thesis debunked "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 22:51 -0700
                Re: church-turing thesis debunked dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 23:23 -0700
                Re: church-turing thesis debunked "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-24 12:42 -0700
                Re: church-turing thesis debunked --- LLM system review olcott <polcott333@gmail.com> - 2025-09-24 08:30 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 21:02 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 23:08 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 21:25 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 23:49 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 22:04 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 00:09 -0500
                Re: Turing computable functions dart200 <user7160@newsgrouper.org.invalid> - 2025-09-23 22:18 -0700
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 22:20 -0700
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 08:10 -0500
                Re: Turing computable functions joes <noreply@example.org> - 2025-09-24 09:24 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 08:16 -0500
                Re: Turing computable functions dbush <dbush.mobile@gmail.com> - 2025-09-24 08:04 -0400
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 14:44 +0100
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 22:07 -0700
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-23 22:12 -0700
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 06:42 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 08:45 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 17:10 +0000
                Re: Turing computable functions --- BAD FAITH Dishonest Dialogue olcott <polcott333@gmail.com> - 2025-09-24 13:33 -0500
                Re: Turing computable functions --- BAD FAITH Dishonest Dialogue Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 20:00 +0100
                Re: Turing computable functions --- BAD FAITH Dishonest Dialogue olcott <polcott333@gmail.com> - 2025-09-24 14:14 -0500
                Re: Turing computable functions --- BAD FAITH Dishonest Dialogue Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 20:41 +0100
                Re: Turing computable functions --- BAD FAITH Dishonest Dialogue Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 20:39 +0000
                Re: Turing computable functions --- BAD FAITH Dishonest Dialogue olcott <polcott333@gmail.com> - 2025-09-24 15:49 -0500
                Re: Turing computable functions --- BAD FAITH Dishonest Dialogue Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 20:33 +0000
                Re: Turing computable functions --- BAD FAITH Dishonest Dialogue olcott <polcott333@gmail.com> - 2025-09-24 15:38 -0500
                Re: Turing computable functions --- BAD FAITH Dishonest Dialogue Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 20:57 +0000
                Re: Turing computable functions --- BAD FAITH Dishonest Dialogue olcott <polcott333@gmail.com> - 2025-09-24 16:09 -0500
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 15:19 -0500
                Re: Turing computable functions Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-09-23 21:28 +0000
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-23 21:51 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 18:17 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 06:43 +0000
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 08:51 -0500
                Re: Turing computable functions --- CHEATER joes <noreply@example.org> - 2025-09-24 13:57 +0000
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 09:41 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 15:49 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 09:54 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 16:11 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 10:24 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 16:27 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 10:34 -0500
                Re: Turing computable functions --- CHEATER dbush <dbush.mobile@gmail.com> - 2025-09-24 11:36 -0400
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 16:43 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 10:51 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 17:06 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 11:18 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 17:55 +0100
                Re: Turing computable functions --- CHEATER Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 17:37 +0000
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 14:01 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 20:14 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 14:25 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 20:47 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 14:57 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 21:05 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 15:12 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 21:17 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 15:27 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 21:54 +0100
                Re: Turing computable functions --- CHEATER Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 20:08 +0000
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 15:30 -0500
                Re: Turing computable functions --- CHEATER "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-24 13:47 -0700
                Re: Turing computable functions --- CHEATER "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-24 13:51 -0700
                Re: Turing computable functions --- CHEATER Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 20:07 +0000
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 15:09 -0500
                Re: Turing computable functions --- CHEATER Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 21:00 +0000
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 16:05 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 22:15 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 16:20 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 22:48 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 16:57 -0500
                Re: Turing computable functions --- CHEATER "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-24 15:15 -0700
                Re: Turing computable functions --- CHEATER "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-24 15:21 -0700
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 23:38 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 17:43 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 23:54 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 19:12 -0500
                Re: Turing computable functions --- CHEATER Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 00:44 +0000
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 19:50 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 04:11 +0100
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 03:55 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 22:14 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 04:40 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 22:42 -0500
                Re: Turing computable functions --- CHEATER Richard Damon <Richard@Damon-Family.org> - 2025-09-27 08:59 -0400
                Re: Turing computable functions --- CHEATER Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 00:32 +0000
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 19:38 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 15:30 +0100
                Re: Turing computable functions --- CHEATER olcott <polcott333@gmail.com> - 2025-09-24 09:46 -0500
                Re: Turing computable functions --- CHEATER Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 15:58 +0100
                Re: Turing computable functions joes <noreply@example.org> - 2025-09-23 10:08 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 10:10 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-23 19:18 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 14:36 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-23 19:17 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 14:32 -0500
                Re: Turing computable functions Alan Mackenzie <acm@muc.de> - 2025-09-23 20:32 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-23 17:01 -0500
                Re: Turing computable functions Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-09-23 22:28 +0000
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 06:08 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 08:21 -0500
                Re: Turing computable functions dbush <dbush.mobile@gmail.com> - 2025-09-24 09:33 -0400
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 15:23 +0100
                Re: Turing computable functions Alan Mackenzie <acm@muc.de> - 2025-09-24 09:24 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 08:03 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 15:16 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 09:43 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 15:53 +0100
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 16:59 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 12:28 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 17:40 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 14:05 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 20:20 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 14:28 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 20:51 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 14:58 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 21:13 +0100
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 15:24 -0500
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 21:45 +0100
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 20:49 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 16:00 -0500
                Re: Turing computable functions --- Dishonesty "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-24 14:04 -0700
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 22:04 +0100
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 21:33 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 16:36 -0500
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 00:35 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 19:42 -0500
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 00:54 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 20:14 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-24 19:45 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 20:58 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-24 20:11 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 21:14 -0500
                Re: Turing computable functions --- Dishonesty wij <wyniijj5@gmail.com> - 2025-09-25 10:29 +0800
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-24 20:33 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 21:44 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-24 20:57 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 22:11 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-24 21:14 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 22:18 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-24 21:29 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 22:35 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-24 21:42 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 23:05 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 08:27 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 09:39 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 09:18 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 10:22 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 09:42 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 11:23 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 10:46 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 11:49 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 11:01 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 12:06 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 18:23 +0100
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 11:32 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 12:46 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 11:59 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 13:04 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 12:11 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 13:27 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 19:46 +0100
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 13:30 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 15:05 -0500
                Re: Turing computable functions --- Dishonesty "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-25 13:14 -0700
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 14:26 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 15:52 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 15:08 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 16:12 -0500
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 22:19 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 17:45 -0500
                Re: Turing computable functions --- Dishonesty joes <noreply@example.org> - 2025-09-26 08:00 +0000
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-26 09:24 +0100
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-26 17:14 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-26 10:20 -0500
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-26 08:25 -0500
                Re: Turing computable functions --- Dishonesty joes <noreply@example.org> - 2025-09-26 13:42 +0000
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-26 17:17 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-26 10:50 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-26 16:09 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-26 09:53 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 18:04 -0600
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 19:17 -0500
                Re: Turing computable functions --- Dishonesty André G. Isaak <agisaak@gm.invalid> - 2025-09-25 19:43 -0600
                Re: Turing computable functions --- Dishonesty joes <noreply@example.org> - 2025-09-25 21:22 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 16:36 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 23:01 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 17:06 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 23:16 +0100
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 22:21 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 18:00 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-26 00:29 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 19:01 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-26 01:09 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 19:20 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-26 04:36 +0100
                Re: Turing computable functions --- Dishonesty Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-09-26 00:20 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 19:42 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-26 04:42 +0100
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-26 01:19 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 21:46 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-26 04:52 +0100
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 19:13 +0100
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 18:05 +0100
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 18:03 +0100
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 16:45 +0100
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 16:23 +0100
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 16:16 +0100
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 04:48 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 23:09 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 05:56 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 07:32 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 14:08 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 08:39 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 16:01 +0100
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 03:22 +0000
                Re: Turing computable functions --- Dishonesty Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-09-25 05:13 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 23:17 -0500
                Re: Turing computable functions --- Dishonesty dart200 <user7160@newsgrouper.org.invalid> - 2025-09-24 21:20 -0700
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 23:28 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 05:59 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 07:33 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 14:10 +0100
                Re: Turing computable functions --- Dishonesty Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-09-25 15:51 +0100
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 16:33 +0100
                Re: Turing computable functions --- Dishonesty dart200 <user7160@newsgrouper.org.invalid> - 2025-09-24 19:13 -0700
                Re: Turing computable functions --- Honesty? olcott <polcott333@gmail.com> - 2025-09-24 21:33 -0500
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 03:17 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 22:21 -0500
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 14:49 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 10:14 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 16:37 +0100
                Re: Turing computable functions --- Dishonesty Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-09-25 15:55 +0100
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 04:19 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 22:22 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 04:52 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 23:15 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 06:04 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 07:35 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 14:14 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 08:42 -0500
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 16:05 +0100
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 14:44 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 09:46 -0500
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 15:24 +0000
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-25 11:51 -0500
                Re: Turing computable functions --- Dishonesty Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-25 19:05 +0000
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 16:28 +0100
                Re: Turing computable functions --- Dishonesty Richard Heathfield <rjh@cpax.org.uk> - 2025-09-25 04:09 +0100
                Re: Turing computable functions --- Dishonesty Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-09-25 05:06 +0100
                Re: Turing computable functions --- Dishonesty olcott <polcott333@gmail.com> - 2025-09-24 23:13 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 20:31 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 15:36 -0500
                Re: Turing computable functions dbush <dbush.mobile@gmail.com> - 2025-09-24 16:40 -0400
                Re: Turing computable functions Richard Heathfield <rjh@cpax.org.uk> - 2025-09-24 21:58 +0100
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 20:28 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 15:34 -0500
                Re: Turing computable functions Kaz Kylheku <643-408-1753@kylheku.com> - 2025-09-24 20:54 +0000
                Re: Turing computable functions olcott <polcott333@gmail.com> - 2025-09-24 16:16 -0500
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-24 14:26 -0700
                Re: Turing computable functions "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-09-24 13:57 -0700

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