Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]


Groups > comp.theory > #133392

Re: UTM Theorem vs the identity function

Path csiph.com!weretis.net!feeder9.news.weretis.net!panix!.POSTED.2602:f977:0:1::2!not-for-mail
From pa@see.signature.invalid (Pierre Asselin)
Newsgroups comp.theory
Subject Re: UTM Theorem vs the identity function
Date Wed, 22 Oct 2025 18:45:22 -0000 (UTC)
Organization PANIX Public Access Internet and UNIX, NYC
Message-ID <10db8o2$tr$1@reader2.panix.com> (permalink)
References <10d8cp6$26v9$1@dont-email.me> <10d8km3$ndh$1@reader2.panix.com> <10d9gl1$btl9$1@dont-email.me>
Injection-Date Wed, 22 Oct 2025 18:45:22 -0000 (UTC)
Injection-Info reader2.panix.com; posting-host="2602:f977:0:1::2"; logging-data="955"; mail-complaints-to="abuse@panix.com"
User-Agent tin/2.6.4-20241224 ("Helmsdale") (NetBSD/10.1 (amd64))
Xref csiph.com comp.theory:133392

Show key headers only | View raw


Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> wrote:

> That damned wikipedia again. It didn't constrain e to Goedel numbers.

Quoting from the Wikipedia article "UTM theorem":

    The theorem states that a partial computable function u of
    two variables exists such that, for every computable function
    f of one variable, a Goedel number e exists such that f (
    x ) ? u ( e , x ) {\displaystyle f(x)\simeq u(e,x)} for
    all x.

Notice the phrase "a Goedel number e". Were you reading some other
article?

-- 
pa at panix dot com
This self-referential copyright notice is in the public domain.

Back to comp.theory | Previous | NextPrevious in thread | Next in thread | Find similar | Unroll thread


Thread

UTM Theorem vs the identity function Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-10-21 17:35 +0100
  Re: UTM Theorem vs the identity function pa@see.signature.invalid (Pierre Asselin) - 2025-10-21 18:50 +0000
    Re: UTM Theorem vs the identity function Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-10-22 03:48 +0100
      Re: UTM Theorem vs the identity function olcott <polcott333@gmail.com> - 2025-10-21 21:51 -0500
        Re: UTM Theorem vs the identity function Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-10-22 04:02 +0100
          Re: UTM Theorem vs the identity function --- Gödel olcott <polcott333@gmail.com> - 2025-10-21 22:35 -0500
      Re: UTM Theorem vs the identity function pa@see.signature.invalid (Pierre Asselin) - 2025-10-22 18:45 +0000
        Re: UTM Theorem vs the identity function Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-10-23 03:34 +0100
          Re: UTM Theorem vs the identity function pa@see.signature.invalid (Pierre Asselin) - 2025-10-23 18:50 +0000
  Re: UTM Theorem vs the identity function Mikko <mikko.levanto@iki.fi> - 2025-10-22 12:39 +0300
    Re: UTM Theorem vs the identity function Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-10-22 12:05 +0100
      Re: UTM Theorem vs the identity function Mikko <mikko.levanto@iki.fi> - 2025-10-23 11:12 +0300

csiph-web