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On 5/6/2025 6:25 AM, Richard Damon wrote:No, H *IS* the one and only decider actually mentioned.On 5/5/25 9:31 PM, olcott wrote:Yet <is> the HHH/DD that professor Sipser agreed to:On 5/5/2025 8:16 PM, Richard Damon wrote:>On 5/4/25 11:10 PM, olcott wrote:>On 5/4/2025 10:00 PM, dbush wrote:>On 5/4/2025 9:38 PM, olcott wrote:>On 5/4/2025 8:13 PM, Ben Bacarisse wrote:>Richard Heathfield <rjh@cpax.org.uk> writes:>
>On 04/05/2025 23:34, Mr Flibble wrote:>The function is neither computable nor incomputable because there is no>
function at all, just a category error.
It's a point of view.
It's a point of view only in the sense that there is no opinion so daft
that it's not someone's point of view. The technical-sounding waffle
about it being a "category error" is simply addressed by asking where
the supposed category error is in other perfectly straightforward
undecidable problems. For example, whether or not a context-free
grammar is ambiguous or not, or the very simple to pose Post
correspondence problem.
>
Flibble IS CORRECT when the halting problem is defined
to be isomorphic (AKA analogous) to the Liar Paradox:
"This sentence is not true".
>
When the Halting Problem is defined as an input that
does the opposite of whatever its decider reports
then both Boolean return values are incorrect
False. One value is correct and one is incorrect.
>
Both Boolean RETURN VALUES FROM H *ARE* INCORRECT,
Even though D halts or fails to halt.
No, the given H can only return one of the values.
>
The other one is correct.
>>>
The linguistic context of WHO IS ASKED is an essential
part of the question.
No, because H^ has the same behavior to all deciders, it only makes H wrong, as it behaves the opposite of whichever is the one answer that H gives.
>>>
Math and Comp Sci people that are clueless about these
details of how language actually works think that they
can get away with ignoring a crucial part of the actual
question.
No, you are clueless as to the requirements of H being a program / fixed algorithm.
>
That is NOT what professor Sipser agreed to.
>
<MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
If simulating halt decider H correctly simulates its input D
until H correctly determines that its simulated D would never
stop running unless aborted then
>
*would never stop running unless aborted*
is one actual input and the hypothetical
HHH/DD that never aborts.
>
But hypothetical DD isn't the DD that was given to the original HHH,
*would never stop running unless aborted*
*would never stop running unless aborted*
*would never stop running unless aborted*
The above refers to an HHH that does not abort.
The above refers to an HHH that does not abort.
The above refers to an HHH that does not abort.
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