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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: Turing Machine computable functions MUST apply finite string
 transformations to inputs
Date: Thu, 1 May 2025 21:25:33 -0500
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On 5/1/2025 9:10 PM, André G. Isaak wrote:
> On 2025-05-01 19:55, olcott wrote:
> 
>> Specify every single step of the mapping and you will
>> see that it has never been well defined. It has ONLY
>> ever been a leap to a conclusion.
> 
> Mappings don't HAVE steps. Again, you are confusing functions with 
> algorithms.
> 
> André
> 

In other words people just guess that a mapping exists or not?
THE MAPPING FROM INPUTS TO OUTPUTS IS BY FINITE STRING TRANSFORMATIONS.

The mapping to compute the sum function is from integers
transformed by the steps of arithmetic to an integer OUTPUT.

int sum(int x, int y) { return 5; }
The above mapping IS NOT for the sum function.

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