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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: HHH(DD) --- COMPUTE ACTUAL MAPPING FROM INPUT TO OUTPUT --- Using
 Finite String Transformations
Date: Tue, 22 Apr 2025 11:38:45 -0500
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On 4/22/2025 10:27 AM, Alan Mackenzie wrote:
> olcott <polcott333@gmail.com> wrote:
>> On 4/21/2025 4:33 PM, Alan Mackenzie wrote:
>>> olcott <polcott333@gmail.com> wrote:
>>>> On 4/21/2025 3:57 AM, Mikko wrote:
>>>>> On 2025-04-20 05:18:56 +0000, olcott said:
> 
>>>>>> On 4/19/2025 2:48 AM, Mikko wrote:
>>>>>>> On 2025-04-17 19:57:30 +0000, olcott said:
> 
>>>>>>>> On 4/17/2025 2:19 PM, Alan Mackenzie wrote:
>>>>>>>>> olcott <polcott333@gmail.com> wrote:
>>>>>>>>>> On 4/17/2025 6:49 AM, Alan Mackenzie wrote:
>>>>>>>>>>> olcott <polcott333@gmail.com> wrote:
>>>>>>>>>>>> On 4/16/2025 1:09 PM, Alan Mackenzie wrote:
>>>>>>>>>>>>> Mr Flibble <flibble@red-dwarf.jmc.corp> wrote:
>>>>>>>>>>>>>> On Wed, 16 Apr 2025 13:29:18 +0100, Richard Heathfield wrote:
> 
>>>>>>>>> [ .... ]
> 
>>>>>>>>>>>> All of logic, reasoning and computation boils down to finite
>>>>>>>>>>>> string transformations on inputs deriving outputs.
> 
>>>>>>>>>>> That's a big assertion, one you have not proved.  It is one you
>>>>>>>>>>> can't prove, even were it true, since you don't understand the
>>>>>>>>>>> concept of proof.
> 
>>>>>>>>>> When a categorically exhaustive search is made it is self-evident
>>>>>>>>>> that all computation, logic, and human reasoning has as its
>>>>>>>>>> barest possible essence transforming input finite strings into
>>>>>>>>>> outputs via finite string transformations.
> 
>>>>>>>>> It is not at all self-evident.
> 
>>>>>>>> It is self-evident that there are no exceptions to the rule
>>>>>>>> the all truth that is entirely anchored in fully formalized
>>>>>>>> semantics an be expressed as finite string transformations
>>>>>>>> from input finite strings.
> 
>>>>>>> It seems that there is an error above as I can't parse it. But it is
>>>>>>> not clear how that should be corrected.
> 
>>>>>> All mental, computational or logical reasoning
>>>>>> boils down to finite string transformation rules
>>>>>> applied to finite strings deriving finite string
>>>>>> outputs.
> 
>>>>>> That no counter-example to this rule exists is its proof.
> 
>>>>> Unproven non-existence of counter-examples is not a proof. In particular
>>>>> mental reasoning is too poorly understood to be sure about anything.
> 
>>>> In other words you cannot find a counter-example.
>>>> I claim that the entire category of counter-example
>>>> to the above statement is the empty set.
> 
>>> You're being stupid.  Just because you can't think up a counterexample
>>> doesn't mean other more intelligent people can't.
> 
>>>> When you try and find any computation that is not
>>>> essentially finite string transformations to finite
>>>> strings it is self-evident that none can possibly exist.
> 
>>> It's self evident only to the arrogantly stupid.
> 
>> All computation is isomorphic to:
>> Finite string transformations to finite strings.
> 
> Is that really the best you can manage?  Simply repeat discredited
> falsehood, ignoring the argument which discredits it?
> 

All computation is defined to be represented as finite
string transformations to finite strings.

a function is computable if there exists an algorithm
that can do the job of the function, i.e. given an input
of the function domain it can return the corresponding output.
https://en.wikipedia.org/wiki/Computable_function

On Turing Machines inputs <are> finite strings, and
finite string transformation rules <are> applied to
these finite strings to derive corresponding outputs.

People here stupidly assume that the outputs are not
required to correspond to the inputs.  That comes from
learn-by-rote with zero depth of understanding.

> By the way, falsehoods don't become truths by continual repetition.
> 

Misunderstood truths become understood with additional
elaboration.

-- 
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer