From: Walter Watts (wlwatts@home.com)
Date: Tue Jan 29 2002 - 22:39:23 MST
joedees@bellsouth.net wrote:
> <snip>
> Godel's Theorems hold ONLY in systems that are complex enough to
> admit of recursion, for only in self-referential systems is it possible to
> construct statements that are ABOUT the relationship between the
> statements and the system in the system language, such as when
> statement B says that "B is not an axiom of axiomatic system A".
> <snip>
and joedees@bellsouth.net also wrote:
> <snip>
> Mathematical recursion is a general attribute that has a particular
> instantiation in the complex system of neurons and their axonal and
> dendritic connections that is found in the human mind. It applies to
> ANY recursive systems, and since we are consciously self-aware
> (aware that we are aware), human minds are tokens of the type
> 'recursive system."
and wlwatts@home.com STARTED to write:
something in agreement with the above excellent observations from Joe, but
possibly stated in a different fashion in hopes of clarifying and strengthening
the point for as many readers as possible.
I reread Joe's points several times. My mind and my fingers found no clever
substitutes.
At this point I can only offer my heartfelt gratitude for the insight and
experience of Joe Dees.
He is one of several folk around here that I can collectively consider
"Super-Heroes" per their input and involvement in this hallowed forum.
Thanks, Joe.
Walter
-- Walter Watts Tulsa Network Solutions, Inc. "To err is human. To really screw things up requires a bare-naked command line and a wildcard operator."
This archive was generated by hypermail 2.1.5 : Wed Sep 25 2002 - 13:28:42 MDT