Sujet : Re: Two computer science professors agree with Flibble
De : rjh (at) *nospam* cpax.org.uk (Richard Heathfield)
Groupes : comp.theoryDate : 05. May 2025, 09:33:33
Autres entêtes
Organisation : Fix this later
Message-ID : <vv9t4t$10mr$5@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
User-Agent : Mozilla Thunderbird
On 05/05/2025 02:38, olcott wrote:
When the Halting Problem is defined as an input that
does the opposite of whatever its decider reports
But it isn't defined as any such thing. The Halting Problem is defined as asking whether a /program/ can be written that can, for any (syntactically correct) program and any input, correctly determine whether the submitted program halts on the given input.
Turing showed that, if such a program could be written, it would lead to the absurdity that you find so unpalatably absurd.
He correctly concludes that such a program cannot therefore be written, and *therefore* there are questions that it is easy to ask but to which a computer cannot provide an answer.
-- Richard HeathfieldEmail: rjh at cpax dot org dot uk"Usenet is a strange place" - dmr 29 July 1999Sig line 4 vacant - apply within