Re: The halting problem as defined is a category error

On 7/20/2025 3:46 AM, Mikko wrote:

On 2025-07-19 14:59:41 +0000, olcott said:
 

On 7/19/2025 4:02 AM, Mikko wrote:

On 2025-07-18 22:11:50 +0000, Mr Flibble said:
>

On Thu, 17 Jul 2025 13:01:31 -0500, olcott wrote:
>

Claude.ai agrees that the halting problem as defined is a category
error.
>
https://claude.ai/share/0b784d2a-447e-441f-b3f0-a204fa17135a
>
This can only be directly seen within my notion of a simulating halt
decider. I used the Linz proof as my basis.
>
Sorrowfully Peter Linz passed away 2 days less than one year ago on my
Mom's birthday July 19, 2024.

>
I was the first to state that the halting problem as defined is a category
error and I stated it in this forum.

>
Indeed you stated that but failed to identify the actual error. You
did not say which word in the problem statement is wrong or what is
the wrong category or what would be the right one.

>
I conclusively proved the actual category error yet
people that are only interested in rebuttal want no
part of any proof that I am correct.

 Is it the same error as Flibble found?
 

Flibble's category error is stated abstractly.
My version is stated concretely.
<ChatGPT>
Misrepresentation of Input:
The standard proof assumes a decider
H(M,x) that determines whether machine
M halts on input x.
But this formulation is flawed, because:
Turing machines can only process finite
encodings (e.g. ⟨M⟩), not executable entities
like M.
So the valid formulation must be
H(⟨M⟩,x), where ⟨M⟩ is a string.
</ChatGPT>
--
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer