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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 21:36:16 -0500
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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)


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