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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Re: D correctly simulated by H cannot possibly halt --- templates and
 infinite sets
Date: Wed, 29 May 2024 22:48:45 -0500
Organization: A noiseless patient Spider
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On 5/29/2024 9:55 PM, Richard Damon wrote:
> On 5/29/24 10:36 PM, olcott wrote:
>> On 5/29/2024 9:25 PM, Richard Damon wrote:
>>> On 5/29/24 9:55 PM, olcott wrote:
>>>> When the category is examined all at once then there is no need
>>>> to look at each individual element.
>>>
>>> So, which one or ones gave the correct answer for their input?
>>>
>>
>> *Formalizing the Linz Proof structure*
>> ∃H  ∈ Turing_Machines
>> ∀x  ∈ *Turing_Machines_Descriptions*
>> ∀y  ∈ Finite_Strings
>> such that H(x,y) = Halts(x,y)
>>
>> When we formalize it that way then some simulating halt deciders
>> get the correct answer.
>>
>> *Everyone else implicitly assumes this incorrect formalization*
>> ∃H  ∈ Turing_Machines
>> ∀x  ∈ *Turing_Machines*
>> ∀y  ∈ Finite_Strings
>> such that H(x,y) = Halts(x,y)
>>
>>
> 
> Nope.
> 
> You just don't understand the meaning of a "Description" in the problem.
> 

I have an OCD/Aspergers degree of single-minded focus.
20 years ago I tested 50% above normal on the Aspergers test.
Because I have focused this concentration of having empathy
I now score 50% below normal on Asperger tests.

The issue is that everyone else has not paid close enough
attention to what a decider does.

*A deciders compute the mapping*

FROM ITS INPUTS
FROM ITS INPUTS
FROM ITS INPUTS
FROM ITS INPUTS
FROM ITS INPUTS

*to it own accept or reject state*

*Deciders cannot take*

ACTUAL TURING MACHINES AS INPUTS
ACTUAL TURING MACHINES AS INPUTS
ACTUAL TURING MACHINES AS INPUTS
ACTUAL TURING MACHINES AS INPUTS
ACTUAL TURING MACHINES AS INPUTS

*Deciders can only take*

FINITE STRINGS AS INPUTS
FINITE STRINGS AS INPUTS
FINITE STRINGS AS INPUTS
FINITE STRINGS AS INPUTS
FINITE STRINGS AS INPUTS


-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer