I think it's v. useful - although I was really extending his idea.
Correct me - but almost no matter what you guys do, (or anyone in AI does) ,
you think in terms of spaces, or frames. Spaces of options. Whether you're
doing logic, maths, or programs, spaces in one form or other are fundamental.
But you won't find anyone - or show me to the contrary - applying spaces to
creative problems (or AGI problems). T
And what's useful IMO is the idea of **trying** to encompass "the space of
creative options" - the options for any creative problem [wh can be as simple
or complex as "what shall we have to eat tonight?" or "how do we reform the
banks?" or "what do you think of the state of AGI?" ].
It's only when you **try** to formalise creativity , that you realise it can't
be done in any practical, programmable way - or formal way. You can only do it
conceptually. Informally.
The options are infinite, or, at any rate, "practically endless." - and
infinite not just in number, but in *diversity*, in endlessly proliferating
*domains* and categories extending right across the world.
**And this is the case for every creative problem - every AGI problem** (one
reason why you won't find anyone in the field of AGI, actually doing AGI, only
narrow AI gestures at the goal).
It's only when you attempt - and fail - to formalise the space of creativity,
that the meaning of "there are infinite creative options" really comes home.
And you should be able to start to see why narrow AI and AGI are fundamentally
opposite affairs - thinking in "closed spaces" vs thinking in "open worlds".
{It is fundamental BTW to the method of rationality - and rationalisation -
epitomised in current programming - to create and think in a closed space of
options, wh. is always artificial in nature].
From: rob levy
Sent: Sunday, July 25, 2010 9:16 PM
To: agi
Subject: Re: [agi] The Math Behind Creativity
Not sure how that is useful, or even how it relates to creativity if considered
as an informal description?
On Sun, Jul 25, 2010 at 10:15 AM, Mike Tintner <tint...@blueyonder.co.uk> wrote:
I came across this, thinking it was going to be an example of maths fantasy,
but actually it has a rather nice idea about the mathematics of creativity.
********************
The Math Behind Creativity
By Chuck Scott on June 15, 2010
The Science of Creativity is based on the following mathematical formula for
Creativity:
In other words, Creativity is equal to infinity minus the area of a defined
circle of what’s working.
Note: is the geometric formula for calculating the area of a circle; where
is 3.142 rounded to the nearest thousandth, and R is a circle’s radius (the
length from a circle’s center to edge).
**************
Simply, it's saying - that for every problem, and ultimately that's not just
creative but rational problems, there's a definable space of options - the
spaces you guys work with in your programs - wh. may work, if the problem is
rational, but normally don't if it's creative. And beyond that space is the
undefined space of creativity, wh. encompasses the entire world in an infinity
of combinations. (Or all the fabulous multiverse[s] of Ben's mind). Creative
ideas - and that can be small everyday ideas as well as large cultural ones -
can come from anywhere in, and any combinations of, the entire world (incl
butterflies in Brazil and caterpillars in Katmandu - QED I just drew that last
phrase off the cuff from that vast world). Creative thinking - and that incl.
the thinking of all humans from children on - is "what in the world ....?"
thinking - that can and does draw upon the infinite resources of the world.
"What in the world is he on about?" "Where in the world will I find s.o.
who..?" "What in the world could be of help here?"
And that is another way of highlighting the absurdity of current approaches
to AGI - that would seek to encompass the entire world of creative
ideas/options in the infinitesimal spaces/options of programs.
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