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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Re: A computable function that reports on the behavior of its actual
 self is not allowed
Date: Mon, 13 May 2024 09:10:27 -0500
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On 5/13/2024 8:55 AM, Fred. Zwarts wrote:
> Op 13.mei.2024 om 15:39 schreef olcott:
>> On 5/13/2024 4:34 AM, Fred. Zwarts wrote:
>>> Op 12.mei.2024 om 21:27 schreef olcott:
>>>> Computable functions are the basic objects of study in computability
>>>> theory. Computable functions are the formalized analogue of the
>>>> intuitive notion of algorithms, in the sense that a function is
>>>> computable if there exists an algorithm that can do the job of the
>>>> function, i.e. given an input of the function domain it can return the
>>>> corresponding output. https://en.wikipedia.org/wiki/Computable_function
>>>>
>>>> A computable function that reports on the behavior of its actual
>>>> self (or reports on the behavior of its caller) is not allowed.
>>>
>>> So, olcott uses his authority to create a new problem. Why would 
>>> anybody be interested in such limitation?
>>>
>>
>> The definition of computable function is an axiomatic basis
>> not any mere authority.
> 
> I was referring to the "is not allowed". If olcott uses his authority to 
> introduce a new axiom with this sentence, a new problem is created. Who 
> is interested in a system with this new limitation?
> 

No decider can take an actual Turing Machine as its input.

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