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

**Date:** Wed Jan 19 2005 - 20:28:01 MST

**Next message:**Marc Geddes: "A plain English description of my technical definition of 'Friendliness'"**Previous message:**Ben Goertzel: "RE: Bad Bayesian - no biscuit! (was A New Year's gift for Bayesians)"**Next in thread:**Harvey Newstrom: "Re: My attempt at a general technical definition of 'Friendliness'"**Reply:**Harvey Newstrom: "Re: My attempt at a general technical definition of 'Friendliness'"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]

I'm glad I'm not the one working on FAI all day. I'd

have gone mad by now. Lucky I'm only looking into it

as hobby. I can see why Eli called FAI theory

'friggin hard' (big understatement!).

None the less, I think my understanding has improved

to the point where I at least understand in general

terms what the concept 'Friendliness' mean. So here

I've had a go at attempting to give, in my own words,

a technical definition of 'Friendliness'. Admittedly

it's only a very general definition, but I don't think

it's vacuous or gibberish. That is, I think I'm

actually defining something meaningful here. If you

disagree by all means please tell me.

For background you just need to understand basic terms

from maths (functions, computability, uncomputability,

prospective attributes, listable attributes etc) and a

bit of cosmology too ;)

So here goes:

-----------------------------------------------------

PROPOSED TECHNICAL DEFINITION OF FRIENDLINESS

Marc Geddes, 19th Jan, 2005

* Proposition: A mind is a utility function. The

universe itself could be interpreted as a kind of mind

in the limit that it formed a super-intelligence at an

Omega Point. Therefore any concept within reality

could be interpreted as a 'utility function' within

the universal mind.

The 'Omega Point' condition requires that the rate of

information processing (computation) within the

universe approaches infinity as time approaches the

end. The idea is that a concept is no different to

the computational function existing in the mind of a

super-intelligence which generates a list of all

things possessing the attribute, in the limit that the

Omega Point condition is approached.

Example: The concept 'Beauty' is defined as being

equivalent to the mathematical function which

generates a list of all beautiful things. This is an

uncomputable function, since beauty appears to a

prospective attribute: the function to recognize or

generate beautiful things cannot be finitely

specified.

But if the Omega Point condition holds for our

universe, then the function can be defined to be the

one that a super-intelligence (Universal Mind) would

hold, in the limit that the rate of information

processing was approaching infinity (Omega Point). So

all concepts can be thought of as 'utility functions'

in the universal mind.

Concept x=

Omega x =

Utility function generating all things with attribute

x in the limit that the universe becomes Omega Point

super-intelligence

Partial x =

Utility function which is a finitely specified

approximation to function Omega x

* Propositions: All concepts in reality can be

interpreted as utility functions. 'Friendliness' is a

concept; therefore Friendliness is a utility function.

The class of friendly sentients appears to be

potentially infinite, making 'Friendliness' a

prospective attribute. Therefore the exact

Friendliness utility function is uncomputable.

All friendly sentients will consist of finitely

specified approximation functions to the exact

utility function. But by definition, a truly friendly

sentient aims to become as friendly as possible.

Therefore all finite approximations to 'Friendliness'

must have the property that they are recursive and

converge on the ideal utility function.

Let Partial Friendly (PF) = finitely specified

approximation to the Friendliness function.

Omega Friendly (OF) = exact Friendliness

function (uncomputable)

PF must be a recursive function such that PF (PF)

outputs PF’ which approaches OF as number of

iterations approaches infinity.

Definition of Friendliness

A computable 'Friendly' function (PF) is a function

which takes any finitely specified function Partial x

as input and modifies it such that the outputted

function Partial x' is a better approximation to Omega

x. Successive output used as input for the next

iteration has to cause Partial x' to converge on Omega

x as the number of iterations approaches infinity.

A PF function is itself a finitely specified function

approximating the uncomputable function Omega Friendly

(OF). So PF (PF) approaches OF as number of

iterations approaches infinity.

------------------------------------------------------

=====

Find local movie times and trailers on Yahoo! Movies.

http://au.movies.yahoo.com

**Next message:**Marc Geddes: "A plain English description of my technical definition of 'Friendliness'"**Previous message:**Ben Goertzel: "RE: Bad Bayesian - no biscuit! (was A New Year's gift for Bayesians)"**Next in thread:**Harvey Newstrom: "Re: My attempt at a general technical definition of 'Friendliness'"**Reply:**Harvey Newstrom: "Re: My attempt at a general technical definition of 'Friendliness'"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]

*
This archive was generated by hypermail 2.1.5
: Wed Jul 17 2013 - 04:00:50 MDT
*