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From: joes
Newsgroups: comp.theory
Subject: Re: Halting Problem: What Constitutes Pathological Input
Date: Tue, 6 May 2025 09:53:04 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-Id: <953ed41793cdb6c3bf0d7155e9e292ee8ee2aaee@i2pn2.org>
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Am Mon, 05 May 2025 14:38:23 -0500 schrieb olcott:
> On 5/5/2025 2:23 PM, Richard Heathfield wrote:
>> On 05/05/2025 20:20, olcott wrote:
>>> Is "halts" the correct answer for H to return? NO Is "does not halt"
>>> the correct answer for H to return? NO Both Boolean return values are
>>> the wrong answer
>>
>> Or to put it another way, the answer is undecidable, QED.
>> See? You got there in the end.
>>
> Is this sentence true or false: "What time is it?"
> is also "undecidable" because it is not a proposition having a truth
> value.
>
> Is this sentence true or false: "This sentence is untrue."
> is also "undecidable" because it is not a semantically sound proposition
> having a truth value.
>
> Can Carol correctly answer “no” to this (yes/no) question?
>
> Both Yes and No are the wrong answer proving that the question is
> incorrect when the context of who is asked is understood to be a
> linguistically required aspect of the full meaning of the question.
Wrong, the correct answer is "no", Carol cannot correctly answer no.
--
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.