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From: olcott <polcott2@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Re: ZFC solution to incorrect questions: reject them
Date: Tue, 12 Mar 2024 19:18:34 -0500
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On 3/12/2024 7:10 PM, immibis wrote:
> On 13/03/24 00:56, olcott wrote:
>> On 3/12/2024 6:38 PM, immibis wrote:
>>> On 13/03/24 00:24, olcott wrote:
>>>> On 3/12/2024 6:05 PM, immibis wrote:
>>>>> On 12/03/24 23:53, olcott wrote:
>>>>>> On 3/12/2024 5:30 PM, Richard Damon wrote:
>>>>>>> On 3/12/24 2:34 PM, olcott wrote:
>>>>>>>> On 3/12/2024 4:23 PM, Richard Damon wrote:
>>>>>>>>> On 3/12/24 1:11 PM, olcott wrote:
>>>>>>>>>> Not exactly. A pair of otherwise identical machines that
>>>>>>>>>> (that are contained within the above specified set)
>>>>>>>>>> only differ by return value will both be wrong on the
>>>>>>>>>> same pathological input.
>>>>>>>>>
>>>>>>>>> You mean a pair of DIFFERENT machines. Any difference is 
>>>>>>>>> different.
>>>>>>>>
>>>>>>>> Every decider/input pair (referenced in the above set) has a
>>>>>>>> corresponding decider/input pair that only differs by the return
>>>>>>>> value of its decider.
>>>>>>>
>>>>>>> Nope.
>>>>>>>
>>>>>> ∀ H ∈ Turing_Machines_Returning_Boolean
>>>>>> ∃ TMD ∈ Turing_Machine_Descriptions  |
>>>>>> Predicted_Behavior(H, TMD) != Actual_Behavior(TMD)
>>>>>>
>>>>>> Every H/TMD pair (referenced in the above set) has a
>>>>>> corresponding H/TMD pair that only differs by the return
>>>>>> value of its Boolean_TM.
>>>>>>
>>>>>> That both of these H/TMD pairs get the wrong answer proves that
>>>>>> their question was incorrect because the opposite answer to the
>>>>>> same question is also proven to be incorrect.
>>>>>>
>>>>>
>>>>> Nobody knows what the fuck you are talking about. You have to 
>>>>> actually explain it. The same machine always gives the same return 
>>>>> value on the same input.
>>>>>
>>>>
>>>> It has taken me twenty years to translate my intuitions into
>>>> words that can possibly understood.
>>>
>>> You failed.
>>>
>>>> A pair of Turing Machines that return Boolean that are identical
>>>> besides their return value that cannot decide some property of
>>>> the same input are being asked the same YES/NO question having
>>>> no correct YES/NO answer.
>>>
>>> https://en.wikipedia.org/wiki/Turing_machine#Formal_definition
>>> A Turing machine is ⟨Q, Γ, b, Σ, δ, q0, F⟩
>>> Show me two ⟨Q, Γ, b, Σ, δ, q0, F⟩ that are identical besides their 
>>> return value.
>>> You can't because you are talking nonsense. they don't exist.
>>
>> Turing machine descriptions that are identical finite strings
>> except for the the 1/0 that they write the their exact same
>> tape relative location.
> 
> So which part of ⟨Q, Γ, b, Σ, δ, q0, F⟩ is different?
Exactly one element of Q differs by writing a 1 instead of a 0.

http://www2.lns.mit.edu/~dsw/turing/doc/tm_manual.txt
One quintuple has a different third element.

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