**From:** Marc Geddes (*marc_geddes@yahoo.co.nz*)

**Date:** Thu Jul 21 2005 - 22:32:08 MDT

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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

--- THE BRAIN is wider than the sky, For, put them side by side, The one the other will include With ease, and you beside. -Emily Dickinson 'The brain is wider than the sky' http://www.bartleby.com/113/1126.html Send instant messages to your online friends http://au.messenger.yahoo.com

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