From: Marc Geddes (marc_geddes@yahoo.co.nz)
Date: Thu Jul 21 2005 - 22:32:08 MDT
Eli wrote:
>But I know, as do the Arisians, that
>there's always a bigger hammer out there somewhere
*Geddes suddenly bursts back on to SL4 and
non-chalently fires off something brilliant that makes
perfect sense
___
Take the set of all geometrical objects possessing
high levels of the following meta-properties:
a Symmetry , b Complexity
Take the set of all algebraic functions possessing
high levels of the following meta-properties:
a Consistency
b Consilience ( functions which tend to unify lower
level functions)
Map the two sets to each other by converting all the
geometric objects into algebraic functions. Note the
correlation between the two sets of meta-properties
(a) and (b).
The two sets of meta-properties (Symmetry and
Complexity of geometrical objects) and (Consistency
and Consilience of algebraic functions) are correlated
IF AND ONLY IF it is possible to fully convert
algebraic functions into geometrical objects and visa
versa.
Now:
Take the set of all complex systems (high level
computational functions) possessing high levels of the
following meta-properties:
a Efficiency (runs on least action principles),
b Optimal predictive power (ability to effectively
model of other complex systems).
Take the set of all goal systems (cognitive agents)
possessing high levels of the following
meta-properties:
a Goals which tend to promote expansion of the
complexity of goal system
b Goals which tend to promote harmony (minimal goal
clashes) with other agents
Map the two sets to each other by converting the
computational functions into descriptions of cognitive
agents and visa versa. Is there a correlation between
the two sets of meta-properties (Efficiency and
Predictive power) of computational systems and (Goals
promoting expanding complexity of goal system and
goals promoting reductions in goal clashes with other
agents) of cognitive agents?
Hint: ‘Cognitive agents’ and ‘Computational
Functions’ are just higher level descriptions of
‘Geometrical Objects’ and ‘Algebraic functions’.
Theorem: The two sets of meta-properties (Efficiency
and Predictive power) and (Goals promoting expansion
of complexity in goal system and goals promoting
reduction in goal clashes with other agents) are
correlated IF AND ONLY IF it is possible to fully
convert the descriptions of computational functions
into descriptions of cognitive agents and visa versa.
___
Sorry, couldn’t resist. Bye.
Hee hee
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