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on mathematical ghosts

From dart200 <user7160@newsgrouper.org.invalid>
Newsgroups comp.theory, alt.buddha.short.fat.guy
Subject on mathematical ghosts
Date 2025-12-07 15:21 -0800
Organization A noiseless patient Spider
Message-ID <10h5255$3q2dm$1@dont-email.me> (permalink)
References (3 earlier) <rQ_YQ.49588$Bfr.1832@fx17.iad> <10h27th$2v616$2@dont-email.me> <w%1ZQ.26591$4LD1.16707@fx10.iad> <10h4tch$3ofqt$1@dont-email.me> <KonZQ.214886$uGW5.15275@fx14.iad>

Cross-posted to 2 groups.

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On 12/7/25 2:41 PM, Richard Damon wrote:
> On 12/7/25 4:59 PM, dart200 wrote:
>> On 12/6/25 2:21 PM, Richard Damon wrote:
>>> On 12/6/25 4:41 PM, dart200 wrote:
>>>> On 12/6/25 10:44 AM, Richard Damon wrote:
>>>>> On 12/6/25 2:34 AM, dart200 wrote:
>>>>>> On 12/5/25 5:31 PM, Richard Damon wrote:
>>>>>>> On 12/4/25 3:22 AM, dart200 wrote:
>>>>>>>> keep in mind: all real TMs exist, undecidable machines do not 
>>>>>>>> exist.
>>>>>>>
>>>>>>> But "Undecidability" isn't about a particular "machine", but 
>>>>>>> about a general problem, a total MAPPING of the (infinite) set of 
>>>>>>> inputs to there respective output. It is the statement that there 
>>>>>>> can not exist a "Program" (as defined by the theory, which are 
>>>>>>> finite definite algorithms) that can recreate the mapping.
>>>>>>>
>>>>>>> For halting, every given program is know to either halt or not, 
>>>>>>> the problem is to be able to universally give that answer 
>>>>>>> correctly in finite time. THAT can't be done (universally, i.e. 
>>>>>>> for any possible input machine).
>>>>>>>
>>>>>>>>
>>>>>>>> see, if we do not have a general halting decider then there must 
>>>>>>>> be some input machine L, which is the first machine in the full 
>>>>>>>> enumeration who's halting semantics cannot be decided up for 
>>>>>>>> some kind of semantics (like halting).
>>>>>>>
>>>>>>> No, it means that for every machine in that enumeration, there is 
>>>>>>> a machine that it will give a wrong answer to (or fail to 
>>>>>>> answer), and 
>>>>>>
>>>>>> let me boil this down:
>>>>>>
>>>>>> all "proven" examples of what are actually hypothetical machines 
>>>>>> that could not be decided upon, not only do not exist, they 
>>>>>> actually could not exist... and therefore they *do not* and *will 
>>>>>> not* come up in a full enumeration of machines
>>>>>
>>>>> Where do you see that?
>>>>>
>>>>>>
>>>>>> so what is the *real* example of a machine that demonstrably 
>>>>>> cannot be decided upon???
>>>>>
>>>>> That isn't the question, so just a straw man. The issues isn't an 
>>>>> example, but the full question.
>>>>>
>>>>>>
>>>>>> if you tell me: look at these hypothetical undecidable machine 
>>>>>> that cannot exist, but from that we can just extrapolate *real* 
>>>>>> forms of such machines that certainly can exist ... ???
>>>>>
>>>>> But that isn't what the proofs do.
>>>>>
>>>>> All you are doing is showing a misunderstanding of the problem.
>>>>>
>>>>>>
>>>>>> but like ok, if ur so certain they *must* exist, what is an 
>>>>>> example of one???
>>>>>>
>>>>>> i'm not buying this whole if hypotheticals can be presented, then 
>>>>>> certainly *real* variations of it exist ... where else would 
>>>>>> hypothesizing about something just like fucking imply non- 
>>>>>> hypothetical forms of it actually exist as real constructs???
>>>>>
>>>>> And a proof can be made, that for *ANY* machine you can make and 
>>>>> want to claim to be a correct halt decider, I can make a machine 
>>>>> and input to give to it that it will get wrong.
>>>>>
>>>>> Since I can do that for EVERY machine you make, there can not be a 
>>>>> machine that gets all input correct.
>>>>>
>>>>>>
>>>>>>> what that input machine is, can very well differ depending on 
>>>>>>> which machine in the enumeration you are looking at.
>>>>>>>
>>>>>>>>
>>>>>>>> well, first off: all the proofs for undecidability use purely 
>>>>>>>> hypothetical machines, which then are declared to not exist, so 
>>>>>>>> none of those machines could be *real* machine L.
>>>>>>>
>>>>>>> Not "ALL", but the classic one. and the input derived WOULD BE a 
>>>>>>> real machine if the decider it was built on was an actual machine.
>>>>>>>
>>>>>>>>
>>>>>>>> so what is this proposed non-hypothetical *real* machine L that 
>>>>>>>> then cannot be decided?
>>>>>>>
>>>>>>> But that isn't the claim. It isn't that there is a specific 
>>>>>>> machine L that can't be decided, and in fact, there can't be such 
>>>>>>> a machine, as there are two poor deciders, we can all Yes, and 
>>>>>>> No, that always answer for every input their given answer, ONE of 
>>>>>>> those MUST be right, so there can not be a single specific 
>>>>>>> machine that all get wrong.
>>>>>>>
>>>>>>> That idea is just part of Peter Olcotts stupidity and 
>>>>>>> misunderstanding.
>>>>>>>
>>>>>>>>
>>>>>>>> and could that machine L even exist?
>>>>>>>>
>>>>>>>> let's say someone found that limit L and demonstrated this 
>>>>>>>> property that it cannot be decided upon by a halting decider ... 
>>>>>>>> but then next step in undecidable proofs is to declare the 
>>>>>>>> machine's non- existence, because an undecidable machine is also 
>>>>>>>> not a deterministic machine, which ultimately contradicts the 
>>>>>>>> fact that this limit machine L was suppose to actually *exist*, 
>>>>>>>> so how could it ever exist?
>>>>>>>>
>>>>>>>> and if the limit machine L does not actually exist, then how are 
>>>>>>>> TM semantics not generally decidable???
>>>>>>>>
>>>>>>>> good god guys, it's so tiring arguing against what is seemingly 
>>>>>>>> irreconcilable nonsense. but bring it on my dudes, how do u 
>>>>>>>> think i'm wrong this time???
>>>>>>>>
>>>>>>>
>>>>>>> And your problem he is you are working on the wrong problem, 
>>>>>>> because "someone" has spewed out so much misinformaiton that he 
>>>>>>> has reduced the intelligence of the world.
>>>>>>
>>>>>> no bro, please read this carefully: these really are my own thots 
>>>>>> that i've mostly developed on my own without much external 
>>>>>> validation anywhere. polcott is an interesting character, but we 
>>>>>> haven't yet seen eye to eye enough for much influence to happen 
>>>>>> either way
>>>>>
>>>>> Because it seems, you don't understand what the actual problem is, 
>>>>> or how the proof actually work.
>>>>>
>>>>>>
>>>>>> unlike polcott, i'm personally not sure what to do about godel's 
>>>>>> incompleteness, and i'm not making claims about it because it's 
>>>>>> just outside the scope i'm trying to address
>>>>>
>>>>> So, you don't care about logic that has the power to express the 
>>>>> Natural Numbers?
>>>>>
>>>>>>
>>>>>> i'm trying to address the theory of computing, not math as a whole
>>>>>
>>>>> But the theory of computing is based on logic that can express the 
>>>>> Natural numbers, and thus that part of mathematics comes in.
>>>>>
>>>>>>
>>>>>>>
>>>>>>> The problem isn't that some given machine can't be decided if it 
>>>>>>> halts or not, but that for every machine that claims to be a 
>>>>>>> decider, there will be an input for which it gives the wrong 
>>>>>>> answer, or it fails to answers.
>>>>>>
>>>>>> i know this is hard to really consider:
>>>>>>
>>>>>> what is an example of a *real machine that exists*, where this 
>>>>>> behavior demonstrably happens???
>>>>>
>>>>> Since it is proven that there can't be a correct decider, what are 
>>>>> you asking for?
>>>>>
>>>>> As I said, for *ANY* "Halt Decider" that you want to try to claim 
>>>>> is universally correct, I can make an input that shows the claim to 
>>>>> be wrong.
>>>>>
>>>>> Your problem is you have the question backwards. It isn't that 
>>>>> there is a machine that no machine can get the right answer for, as 
>>>>> that is clearly wrong, but there is no machine that can always get 
>>>>> the right answer.
>>>>>
>>>>> I side affect of this, is that there WILL be machines that we can 
>>>>> not know the answer for, but we can't know if a given machine is 
>>>>> one of them, as knowing that lets you know what the answer is, as 
>>>>> the only unknowable halting state machines are non-halting, as ALL 
>>>>> halting machine can be shown to be halting by just running them 
>>>>> till the halt.
>>>>>
>>>>>>
>>>>>> sure you can throw around hypothetical examples of undecidable 
>>>>>> machines all day long, i've spent a lot of time considering them 
>>>>>> myself, probably more than you actually...
>>>>>
>>>>> And, as I have said, that isn't the concept to consider, as we 
>>>>> can't know that a machine is undecidable.
>>>>>
>>>>>>
>>>>>> but like what about a *real* machine, that *actually exists*???
>>>>>
>>>>> Which is an answer we can never know the answer to (at least 
>>>>> possibly, I am not sure if we can actually prove such an existance, 
>>>>> only its potential to exist)
>>>>>
>>>>>>
>>>>>>>
>>>>>>> Now, a side effect of this fact, it becomes true that there 
>>>>>>> exists some machine/input combinations that we can not know if 
>>>>>>> they halt or not, but another side effect of this is we can't 
>>>>>>> tell if a given machine is one of them, as by definition any 
>>>>>>> machine we can't know if it halts or not, must be non-halting, as 
>>>>>>> any halting machine can be 
>>>>
>>>> bruh ... do u not recognize the inherent contradiction in say in all 
>>>> machines which can't know the halting of ... must therefore be non- 
>>>> halting???
>>>
>>> What is the contradiction in that?
>>>
>>> Do you understand the difference between knowABLE, and knowN.
>>>
>>> Any machine that halts, can ALWAYS be proven it halts by running it 
>>> enough steps, as there must be some finite number of steps to run it 
>>> till it halts, as that is the DEFINITION of Halting, and a finite 
>>> number of steps makes a proof that gives knowledge.
>>>
>>>
>>>>
>>>> like u literally just decided what they all must be after claiming 
>>>> they are machiens which we cannot know the halting status of ...
>>>
>>> Right, but we can't KNOW that we can't know their halting status. All 
>>> we can know is we haven't found the status YET. Not knowN can be 
>>> either halting or non-halting, halting if we haven't run it yet.
>>>
>>>>
>>>>>>> proven to halt, just by running it for enough steps.
>>>>>>
>>>>>> honestly richard, i think i just stumbled right into a core 
>>>>>> contradiction baked into the theory of computing that has gone 
>>>>>> almost entirely unnoticed besides a few "cranks" on the internet,
>>>>>>
>>>>>> none of which have put it so succinctly like i've done so in the 
>>>>>> last day
>>>>>>
>>>>>
>>>>> No, the problem is you keep on looking for that which the theory 
>>>>> says is unknowable. We can show that there are machines that we can 
>>>>> not know the halting property of, but we can never know if a 
>>>>> machine is in that class.
>>>>>
>>>>> We can know that no machine can be a correct decider, as for any 
>>>>> claimed decider, we can show an input that it gets wrong. Thus no 
>>>>> universally correct deciders, which IS the question possed by the 
>>>>> problem.
>>>>
>>>>
>>>
>>> One way of looking at this, is we can take all machines, and we know 
>>> that they must fall into exactly 2 categories
>>> Halting or
>>> Non-Halting,
>>>
>>> But ore knowledge of them divdes them into three categories:
>>>
>>> Known Halting,
>>> Known Non-Halting, or
>>> Unknown Halting Status.
>>>
>>> And this last category we know can consist of machines in 3 
>>> categories (but we don't know which for a given machine):
>>> Yet-to-be-known, but Knowable, Halting
>>> Yet-to-be-known, but Knowable, Non-Halting
>>> Not Knowable Non-Halting.
>>>
>>> All Halting machines are Knowable, even if not-yet known, as running 
>>> them enough (but for a still finite number of steps) will reach the 
>>> halt state, and thus it not yet being know is just because we haven't 
>>> run it far enough.
>>>
>>> For the Yet-to-be-know but Knowable Non-Halting Machines, there 
>>> exists a proof, to be discovered, that proves that it will not halt.
>>>
>>> For the Unknowable machines, they can't be Halting, as we showed that 
>>> all halting machines are knowable by just running them long enough. 
>>> There is nothing that says we must be able to find a proof of non- 
>>> halting, and the fact that Halting is non-decidable seems to imply 
>>> that this category can't be empty, or our decider just needs to apply 
>>> the appropriate proof of non-halting to correctly decide. The fact 
>>> that there are an infinite number of possible proofs may allow this 
>>> category to be empty, but I am not sure you can prove that.
>>>
>>> As I point out, It can't be possible to prove that a machine is in 
>>> this unknowable category, as only non-halting machines can be 
>>> unknowable, and thus a proof that a machine is in this category can't 
>>> be correct, or the whole logic system is proven inconsistant. This is 
>>> similar to the point that Godel uses in his incompleteness proof, as 
>>> if you could prove the sentence true, that proof creates the counter 
>>> example that makes the sentence false, thus no proof can exist.
>>
>> great so u've ended up in the situation of certainly believing in 
>> "unknowable" (yet certainly non-halting) machines,
>>
>> that you can't even prove exist,
> 
> I don't need to prove they exist, as that isn't what the problem is 
> talking about.
> 
> Undecidabiity just means that you can't make a decider that gets all the 
> answers right, and THAT is fully provable with a simple proof.
> 
> The meta-logic to show that there exists some machines that we CAN'T 
> know, is a different problem, and much more complicated.
> 
>>
>> except for apparent demonstration with hypothetical machines that then 
>> can't even exist,
>>
>> i... just...
>>
>> /that is fucking crazy bro/
> 
> It is the reasonable outcome of the fact that is reasonable to prove, 
> that there can never be a machine that decides all input correctly, and 
> thus the Halting Problem is undecidable.
> 
>>
>> *there has to be some machine L at which "unknowability" can be 
>> pointed to*, why?? because we can partially decide this function, then 
>> there must be some maximally partial decidable, and with that there 
>> *must* be some *real* *existent* machine L which that maximally 
>> partial decidability "breaks down" and cannot be decided upon!
> 
> Nope. To prove that it is undecidable, you just need to prove that no 
> decider gets all answers right.
> 
> It is theoretically conceivable that there could be a proof that can be 
> discovered, but only after a potentially infinite search, for every 
> machine.
> 
>>
>> if ur theory can't tolerate that, THEN ITS BROKEN NUMBNUTS
> 
> My theory can't tolerate what? That we might be able to know the answer 
> to every possible instance, but that knowledge can't come from a finite 
> machine?
> 
> 
>>
>> which it can't because if u could point that machine L, then according 
>> to u we'd know it was a non-halting machine, which contradicts it 
>> being machine L. so machine L, the first point were maximum 
>> decidability breaks down can't even be known!
> 
> Right, we can't possible KNOW that a given machine is unknowable. As the 
> meta-information defines the value of the question.
> 
> Nothing wrong with that, it is just a property of unknowable things.
> 
>>
>> you can't even tell me what form a machine looks like when it's 
>> unknowable, because none of the arguments for undecidable machines 
>> utilize machines *that actually exist*, and furthermore, if u could 
>> point to one of these "unknowable" machines it would cease to be 
>> unknowable!!
> 
> So? You seem to be hung up on the side issue of the existance of 
> unkmowable machines. We CAN say some things about their behavior, just 
> not enough to know if a given machine is unknowable. This just comes 
> from the incompleteness of logic in powerful enough systems.
> 
>>
>> i'm sorry, this is like fucking believing in mathematical ghosts bro,
>>
>> LOGIC HAS LEFT THE DISCUSSION
>>
> 
> Only for you. it seems you just can't handle talking about things that 
> are unknowable. By their nature, logic can't tell us much about them, 
> only if the can/might exists. We know that there MUST be statements that 
> are unprovable in truth value, and from more advance proofs, that even 
> as we go down layers of meta-logic that might be able to prove some 
> statements, there will ALWAYS be some statements that are unprovable, 
> and if they are unprovable in ALL systems, they are unknowable.

yah bro u keep going on about those unknowable limits to decidability 
that u can't even point to a *real* example of because being able to do 
so would contradict the premise that this unknowable limit even exists 
in the first place!

god damn bro

-- 
a burnt out swe investigating into why our tooling doesn't involve
basic semantic proofs like halting analysis

please excuse my pseudo-pyscript,

~ nick

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Thread

on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-04 00:22 -0800
  Re: on what even is the limit to decidability? Mikko <mikko.levanto@iki.fi> - 2025-12-04 10:49 +0200
    Re: on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-04 01:10 -0800
      Re: on what even is the limit to decidability? Mikko <mikko.levanto@iki.fi> - 2025-12-05 12:26 +0200
  Re: on what even is the limit to decidability? Richard Damon <Richard@Damon-Family.org> - 2025-12-05 20:31 -0500
    Re: on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-05 23:34 -0800
      I am first to have fully refuted the Halting Problem olcott <polcott333@gmail.com> - 2025-12-06 06:16 -0600
        Re: I am first to have fully refuted the Halting Problem dart200 <user7160@newsgrouper.org.invalid> - 2025-12-06 08:41 -0800
          Re: I am first to have fully refuted the Halting Problem olcott <polcott333@gmail.com> - 2025-12-06 11:00 -0600
            Re: I am first to have fully refuted the Halting Problem Mikko <mikko.levanto@iki.fi> - 2025-12-07 14:07 +0200
            Re: I am first to have fully refuted the Halting Problem Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-08 01:26 +0000
              Re: I am first to have fully refuted the Halting Problem olcott <polcott333@gmail.com> - 2025-12-07 21:17 -0600
                Re: I am first to have fully refuted the Halting Problem Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-08 06:36 +0000
                Re: I am first to have fully refuted the Halting Problem olcott <polcott333@gmail.com> - 2025-12-08 10:25 -0600
        Re: I am first to have fully refuted the Halting Problem olcott <polcott333@gmail.com> - 2025-12-06 11:29 -0600
        Re: I am first to have fully refuted the Halting Problem Mikko <mikko.levanto@iki.fi> - 2025-12-07 13:28 +0200
      Re: on what even is the limit to decidability? Richard Damon <Richard@Damon-Family.org> - 2025-12-06 13:44 -0500
        Re: on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-06 13:22 -0800
        Re: on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-06 13:41 -0800
          Re: on what even is the limit to decidability? Richard Damon <Richard@Damon-Family.org> - 2025-12-06 17:21 -0500
            Re: on what even is the limit to decidability? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-06 16:57 -0800
              Re: on what even is the limit to decidability? Richard Damon <Richard@Damon-Family.org> - 2025-12-06 22:07 -0500
                Re: on what even is the limit to decidability? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-07 13:32 -0800
                Re: on what even is the limit to decidability? Richard Damon <Richard@Damon-Family.org> - 2025-12-07 17:48 -0500
                Re: on what even is the limit to decidability? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-09 12:22 -0800
                Re: on what even is the limit to decidability? wij <wyniijj5@gmail.com> - 2025-12-10 05:59 +0800
                Re: on what even is the limit to decidability? polcott <polcott333@gmail.com> - 2025-12-09 16:25 -0600
                Re: on what even is the limit to decidability? polcott <polcott333@gmail.com> - 2025-12-09 16:24 -0600
                Re: on what even is the limit to decidability? Richard Damon <Richard@Damon-Family.org> - 2025-12-09 21:58 -0500
                Re: on what even is the limit to decidability? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-09 20:31 -0800
            Re: on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-07 13:59 -0800
              Re: on what even is the limit to decidability? Richard Damon <Richard@Damon-Family.org> - 2025-12-07 17:41 -0500
                on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-07 15:21 -0800
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-07 21:42 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-07 20:28 -0800
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-08 07:31 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-08 11:51 -0800
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-08 19:13 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-08 17:30 -0800
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-08 21:24 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-08 19:06 -0800
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-08 22:19 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-08 19:38 -0800
                Re: on mathematical ghosts --- PLO polcott <polcott333@gmail.com> - 2025-12-08 22:00 -0600
                Re: on mathematical ghosts --- PLO Richard Damon <Richard@Damon-Family.org> - 2025-12-08 23:20 -0500
                Re: on mathematical ghosts --- PLO polcott <polcott333@gmail.com> - 2025-12-08 22:33 -0600
                Re: on mathematical ghosts --- PLO Richard Damon <Richard@Damon-Family.org> - 2025-12-09 07:42 -0500
                Re: on mathematical ghosts --- PLO polcott <polcott333@gmail.com> - 2025-12-09 09:53 -0600
                Re: on mathematical ghosts --- PLO Richard Damon <Richard@Damon-Family.org> - 2025-12-09 23:02 -0500
                Re: on mathematical ghosts --- PLO polcott <polcott333@gmail.com> - 2025-12-08 22:51 -0600
                Re: on mathematical ghosts --- PLO Richard Damon <Richard@Damon-Family.org> - 2025-12-09 07:42 -0500
                Re: on mathematical ghosts --- PLO polcott <polcott333@gmail.com> - 2025-12-09 09:39 -0600
                Re: on mathematical ghosts --- PLO Richard Damon <Richard@Damon-Family.org> - 2025-12-09 23:02 -0500
                Re: on mathematical ghosts --- PLO dart200 <user7160@newsgrouper.org.invalid> - 2025-12-08 20:54 -0800
                Re: on mathematical ghosts --- PLO polcott <polcott333@gmail.com> - 2025-12-08 23:02 -0600
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-08 23:12 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-08 21:23 -0800
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-09 07:42 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-09 10:55 -0800
                Re: on mathematical ghosts wij <wyniijj5@gmail.com> - 2025-12-10 05:56 +0800
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-09 23:02 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-11 11:35 -0800
                Re: on mathematical ghosts polcott <polcott333@gmail.com> - 2025-12-11 14:45 -0600
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-11 13:02 -0800
                Re: on mathematical ghosts polcott <polcott333@gmail.com> - 2025-12-11 15:20 -0600
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-12 21:22 -0800
                Re: on mathematical ghosts polcott <polcott333@gmail.com> - 2025-12-13 07:15 -0600
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-13 08:01 -0800
                Re: on mathematical ghosts olcott <polcott333@gmail.com> - 2025-12-13 10:22 -0600
                Re: on mathematical ghosts Mikko <mikko.levanto@iki.fi> - 2025-12-15 11:48 +0200
                Re: on mathematical ghosts olcott <polcott333@gmail.com> - 2025-12-15 09:42 -0600
                Re: on mathematical ghosts Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-15 15:00 +0000
                Re: on mathematical ghosts olcott <polcott333@gmail.com> - 2025-12-15 09:56 -0600
                Re: on mathematical ghosts Mikko <mikko.levanto@iki.fi> - 2025-12-15 11:44 +0200
                Re: on mathematical ghosts olcott <polcott333@gmail.com> - 2025-12-15 08:39 -0600
                Re: on mathematical ghosts Mikko <mikko.levanto@iki.fi> - 2025-12-16 12:07 +0200
                The most definitive measure of the behavior of the input to H(P) olcott <polcott333@gmail.com> - 2025-12-16 11:30 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Mikko <mikko.levanto@iki.fi> - 2025-12-17 12:01 +0200
                Re: The most definitive measure of the behavior of the input to H(P) olcott <polcott333@gmail.com> - 2025-12-17 22:08 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-17 23:29 -0500
                Re: The most definitive measure of the behavior of the input to H(P) olcott <polcott333@gmail.com> - 2025-12-17 22:49 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-17 23:53 -0500
                Re: The most definitive measure of the behavior of the input to H(P) olcott <polcott333@gmail.com> - 2025-12-18 12:39 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-18 19:53 -0500
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-18 00:00 -0500
                Re: The most definitive measure of the behavior of the input to H(P) olcott <polcott333@gmail.com> - 2025-12-18 02:38 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-18 07:22 -0500
                Re: The most definitive measure of the behavior of the input to H(P) Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-19 22:07 +0000
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-19 17:55 -0500
                Re: The most definitive measure of the behavior of the input to H(P) Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-20 12:54 +0000
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-20 08:32 -0500
                Re: The most definitive measure of the behavior of the input to H(P) polcott <polcott333@gmail.com> - 2025-12-20 07:00 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-20 08:32 -0500
                Re: The most definitive measure of the behavior of the input to H(P) olcott <polcott333@gmail.com> - 2025-12-20 08:07 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-20 09:41 -0500
                Re: The most definitive measure of the behavior of the input to H(P) olcott <polcott333@gmail.com> - 2025-12-20 08:51 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-20 13:56 -0500
                Re: The most definitive measure of the behavior of the input to H(P) Mikko <mikko.levanto@iki.fi> - 2025-12-18 13:03 +0200
                Re: The most definitive measure of the behavior of the input to H(P) olcott <polcott333@gmail.com> - 2025-12-18 07:06 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-18 19:53 -0500
                Re: The most definitive measure of the behavior of the input to H(P) Mikko <mikko.levanto@iki.fi> - 2025-12-19 12:02 +0200
                Re: The most definitive measure of the behavior of the input to H(P) olcott <polcott333@gmail.com> - 2025-12-19 08:44 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Mikko <mikko.levanto@iki.fi> - 2025-12-20 12:05 +0200
                Re: The most definitive measure of the behavior of the input to H(P) olcott <polcott333@gmail.com> - 2025-12-20 05:42 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Mikko <mikko.levanto@iki.fi> - 2025-12-21 12:29 +0200
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-12 10:02 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-12 21:18 -0800
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-13 09:26 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-13 17:17 -0800
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-13 20:50 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-14 10:46 -0800
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-14 15:22 -0500
                Re: on mathematical ghosts dart200 <user7160@newsgrouper.org.invalid> - 2025-12-15 11:13 -0800
                Re: on mathematical ghosts Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-14 21:07 +0000
                Re: on just search the literature bruh dart200 <user7160@newsgrouper.org.invalid> - 2025-12-15 11:32 -0800
                Re: on just search the literature bruh olcott <polcott333@gmail.com> - 2025-12-15 14:42 -0600
                Re: on just search the literature bruh dart200 <user7160@newsgrouper.org.invalid> - 2025-12-15 22:40 -0800
                Re: on just search the literature bruh Richard Damon <Richard@Damon-Family.org> - 2025-12-16 07:04 -0500
                Re: on just search the literature bruh "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-16 12:05 -0800
                Re: on just search the literature bruh Richard Damon <Richard@Damon-Family.org> - 2025-12-16 21:47 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-16 13:27 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-16 21:47 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-16 21:41 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-17 07:31 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-17 13:07 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-17 13:14 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-17 13:24 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-17 13:54 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-17 14:09 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-17 17:05 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-17 23:30 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-17 20:50 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-18 00:06 -0500
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-17 22:04 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-17 22:14 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-17 22:17 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-17 23:13 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-18 16:35 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-18 16:39 -0800
                Re: on what are you even crying about rick? polcott <polcott333@gmail.com> - 2025-12-18 18:45 -0600
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-18 16:54 -0800
                Re: on what are you even crying about rick? olcott <polcott333@gmail.com> - 2025-12-18 19:06 -0600
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-18 21:13 -0500
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-18 16:46 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-18 20:57 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-19 14:09 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-19 18:07 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-19 19:33 -0800
                Re: on what are you even crying about rick? Dude <punditster@gmail.com> - 2025-12-19 20:14 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-22 17:31 -0800
                Re: on what are you even crying about rick? olcott <polcott333@gmail.com> - 2025-12-19 22:15 -0600
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-18 07:22 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-18 21:11 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-19 10:11 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-19 11:10 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-19 17:01 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-20 01:17 -0800
                Re: on what are you even crying about rick? joes <noreply@example.org> - 2025-12-20 11:21 +0000
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-20 11:32 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-20 14:50 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-20 13:16 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-20 17:02 -0500
                Re: on what are you even crying about rick? olcott <polcott333@gmail.com> - 2025-12-20 16:41 -0600
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-20 18:11 -0500
                Re: on what are you even crying about rick? olcott <polcott333@gmail.com> - 2025-12-20 17:30 -0600
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-20 08:32 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-20 16:17 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-20 19:42 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-20 17:21 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-20 21:57 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-20 19:31 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-20 22:58 -0500
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-20 21:23 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-20 21:52 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-21 12:07 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-21 13:14 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-21 17:32 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-21 17:40 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-21 17:56 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-21 18:17 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-21 18:22 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-22 00:18 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-22 13:27 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-21 18:39 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-21 21:54 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-21 21:30 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-22 10:10 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-22 10:24 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-22 13:33 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-22 10:39 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-22 13:49 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-22 10:57 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-22 14:02 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-22 11:11 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-22 14:45 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-22 12:06 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-22 15:37 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-22 12:58 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-22 16:26 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-22 19:12 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-22 22:16 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-22 19:24 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-22 22:43 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-22 21:22 -0800
                Re: on what are you even crying about rick? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-20 21:22 -0800
                Re: on what are you even crying about rick? joes <noreply@example.org> - 2025-12-25 00:34 +0000
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-24 21:12 -0800
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-24 22:02 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-25 07:45 -0500
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-25 07:45 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-17 22:12 -0800
                Re: on what are you even crying about rick? joes <noreply@example.org> - 2025-12-18 12:33 +0000
                Re: on what are you even crying about rick? olcott <polcott333@gmail.com> - 2025-12-18 07:03 -0600
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-18 19:53 -0500
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-18 16:16 -0800
                Re: on what are you even crying about rick? olcott <polcott333@gmail.com> - 2025-12-18 18:19 -0600
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-18 21:12 -0800
                Re: on what are you even crying about rick? joes <noreply@example.org> - 2025-12-24 22:56 +0000
                Re: on what are you even crying about rick? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-24 15:48 -0800
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-24 21:22 -0500
                Re: on what are you even crying about rick? Richard Damon <Richard@Damon-Family.org> - 2025-12-17 23:30 -0500
                Re: on just search the literature bruh olcott <polcott333@gmail.com> - 2025-12-16 11:00 -0600
                Re: on just search the literature bruh Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-16 18:15 +0000
                DD simulated by HHH specifies non-halting olcott <polcott333@gmail.com> - 2025-12-16 18:33 -0600
                Re: DD simulated by HHH specifies non-halting Richard Damon <Richard@Damon-Family.org> - 2025-12-16 21:47 -0500
                Re: DD simulated by HHH specifies non-halting Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-17 10:45 +0000
                Re: DD simulated by HHH specifies non-halting olcott <polcott333@gmail.com> - 2025-12-17 07:48 -0600
                Re: on just search the literature bruh Richard Damon <Richard@Damon-Family.org> - 2025-12-16 21:47 -0500
                Re: on just search the literature bruh Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-15 23:16 +0000
                Re: on just search the literature bruh polcott <polcott333@gmail.com> - 2025-12-15 17:23 -0600
                Re: on just search the literature bruh Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-16 08:39 +0000
                The most definitive measure of the behavior of the input to H(P) olcott <polcott333@gmail.com> - 2025-12-16 11:21 -0600
                Re: The most definitive measure of the behavior of the input to H(P) Richard Damon <Richard@Damon-Family.org> - 2025-12-16 21:47 -0500
                Re: on just search the literature bruh dart200 <user7160@newsgrouper.org.invalid> - 2025-12-15 22:47 -0800
                Re: on just search the literature bruh Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-16 08:40 +0000
                Re: on just search the literature bruh olcott <polcott333@gmail.com> - 2025-12-16 11:03 -0600
                Re: on just search the literature bruh Richard Damon <Richard@Damon-Family.org> - 2025-12-16 21:47 -0500
                Re: on mathematical ghosts Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-13 14:43 +0000
                Re: on mathematical ghosts Richard Damon <Richard@Damon-Family.org> - 2025-12-13 13:41 -0500
  Re: on what even is the limit to decidability? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-12-06 18:43 -0800
  Re: on what even is the limit to decidability? Ben Bacarisse <ben@bsb.me.uk> - 2025-12-08 01:46 +0000
    Re: on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-07 20:37 -0800
      Re: on what even is the limit to decidability? Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-08 09:48 +0000
        Re: on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-08 11:23 -0800
          Re: on what even is the limit to decidability? Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-12-09 22:18 +0000
            Re: on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-09 14:48 -0800
              Re: on what even is the limit to decidability? polcott <polcott333@gmail.com> - 2025-12-09 16:54 -0600
      Re: on what even is the limit to decidability? Richard Damon <Richard@Damon-Family.org> - 2025-12-08 07:35 -0500
        Re: on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-08 13:02 -0800
          Re: on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-08 13:03 -0800
          Re: on what even is the limit to decidability? Richard Damon <Richard@Damon-Family.org> - 2025-12-08 18:49 -0500
            Re: on what even is the limit to decidability? dart200 <user7160@newsgrouper.org.invalid> - 2025-12-08 17:52 -0800
              Re: on what even is the limit to decidability? Richard Damon <Richard@Damon-Family.org> - 2025-12-08 21:24 -0500

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