2008/9/2 Ben Goertzel <[EMAIL PROTECTED]>:
>
> Hmmm..
>
> Rather, I would prefer to model a self-modifying AGI system as something
> like
>
> F(t+1) =  (F(t))( F(t), E(t) )
>
> where E(t) is the environment at time t and F(t) is the system at time t

Are you assuming the system knows the environment totally? Or did you
mean the input the system gets from the environment? Would you have to
assume the environment was deterministic as well in order to construct
a hyperset? Unless you can construct a hyperset tree kind of thing,
with branches for each possible environmental state?

> This is a hyperset equation, but it seems to nicely and directly capture the
> fact that the system is actually acting on and modifying itself...
>

I'll use _ to indicate subscript for now.

I think s_n+1 = g_s_n(x) encompasses the same idea of
self-modification, as the function that g performs on x is determined
by the state if you consider g to be a UTM and s to be a program it
becomes a bit clearer. Consider g() and f() to be the hardware or
physics of the system.

  Will


-------------------------------------------
agi
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