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From: wij <wyniijj5@gmail.com>
Newsgroups: comp.theory
Subject: Re: Incorrect requirements --- Computing the mapping from the input
 to HHH(DD)
Date: Mon, 12 May 2025 06:11:21 +0800
Organization: A noiseless patient Spider
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In-Reply-To: <vvr6lj$lieg$1@dont-email.me>

On Sun, 2025-05-11 at 17:00 -0500, olcott wrote:
[cut]
> > > ZFC corrected the error in set theory so that
> > > it could resolve Russell's Paradox. The original
> > > set theory has now called naive set theory.
> > >=20
> > > I corrected the error of the HP that expects
> > > HHH to report on behavior that is different
> > > than the behavior that its input actually
> > > specifies.
> >=20
> > Specificly, "Halt(D)=3D1 iff D() halts" is an error?
> > And it should expect: Halt(D)=3D1 iff POOH(D)=3D1 (correct problem)?
> >=20
>=20
> Yes that is an error because the behavior that
> the input to HHH(DDD) specifies is the behavior
> that HHH must report on.

If so, how do we know a given function e.g. D, halts or not by giving it to=
 H,=20
i.e. H(D)? Wrong question (according to you)?
Instead, every time we want to know whether D halts or not, we should ask=
=20
POOH(D)? Because you said 'halt' means "the input to HHH(DDD) specifies is =
the=20
behavior that HHH must report on."

And, how is POOH useful to AI and human if POOH cannot be reproduced?