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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.logic
Subject: Re: A different perspective on undecidability --- incorrect question
Date: Mon, 21 Oct 2024 22:48:41 -0400
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On 10/21/24 10:04 PM, olcott wrote:
> On 10/16/2024 11:37 AM, Mikko wrote:
>> On 2024-10-16 14:27:09 +0000, olcott said:
>>
>>> The whole notion of undecidability is anchored in ignoring the fact that
>>> some expressions of language are simply not truth bearers.
>>
>> A formal theory is undecidable if there is no Turing machine that
>> determines whether a formula of that theory is a theorem of that
>> theory or not. Whether an expression is a truth bearer is not
>> relevant. Either there is a valid proof of that formula or there
>> is not. No third possibility.
>>
> 
> After being continually interrupted by emergencies
> interrupting other emergencies...
> 
> If the answer to the question: Is X a formula of theory Y
> cannot be determined to be yes or no then the question
> itself is somehow incorrect.

Only if "can not be determined" means that there isn't an actual answer 
to it,

Not that we don't know the answer to it.

For instance, the Twin Primes conjecture is either True, or it is False, 
it can't be a non-truth-bearer, as either there is or there isn't a 
highest pair of primes that differs by two.

The fact we don't know, and maybe can never know, doesn't make the 
question incorrect.

Some truth is just unknowable.

> 
> An incorrect question is an expression of language that
> is not a truth bearer translated into question form.

Right, and a question that we don't know (or maybe can't know) but is 
either true or false, is not an incorrect question.

> 
> When "X a formula of theory Y" is neither true nor false
> then "X a formula of theory Y" is not a truth bearer.
> 
> 
> 

Does D halt, is not an incorrect question, as it will halt or not.

That the H that it was built from won't give the right answer is irrelevent.

You just don't understand what the terms mean, because you CHOSE to make 
youself ignorant, and thus INTENTIONALY made yourself into a pathetic 
ignorant pathological lying idiot.

Sorry, but that is the facts.