Re: HHH(DD) --- COMPUTE ACTUAL MAPPING FROM INPUT TO OUTPUT --- Using Finite String Transformations

On 4/21/25 4:41 PM, olcott wrote:

On 4/21/2025 3:57 AM, Mikko wrote:

On 2025-04-20 05:18:56 +0000, olcott said:
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On 4/19/2025 2:48 AM, Mikko wrote:

On 2025-04-17 19:57:30 +0000, olcott said:
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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:

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[ .... ]
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All of logic, reasoning and computation boils down to finite string
transformations on inputs deriving outputs.

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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.

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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.

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It is not at all self-evident.

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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.

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It seems that there is an error above as I can't parse it. But it is
not clear how that should be corrected.

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All mental, computational or logical reasoning
boils down to finite string transformation rules
applied to finite strings deriving finite string
outputs.
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That no counter-example to this rule exists is its proof.

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Unproven non-exitence of counter-examples is not a proof. In particular
mental reasoning is too poorly understood to be sure about anything.
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 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.

So, what is the symbol for the computation that a rose smells nice?
The problem is that the human brain is not a finite-string manipulation engine, so you can't make that claim about mental reasoning.

 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.
 

Yes, computations are finite string to finite string manipulations.
And not such manipulation exists that maps the finite string of the representation for a computation to the correct answer in all cases of if that computation represented will halt when run.