This is insane, yet fascinating. Also see solution link at bottom of page.
Brought to you by John McCarthy, creator of LISP.

ma and pa kettle

puppets

"Wolfram suggests that the theory of computational irreducibility may provide a resolution to the existence of free will in a nominally deterministic universe. He posits that the computational process in the brain of the being with free will is actually complex enough so that it cannot be captured in a simpler computation, due to the principle of computational irreducibility. Thus while the process is indeed deterministic, there is no better way to determine the being's will than to essentially run the experiment and let the being exercise it."

:D

note to self: objects appear to be "manifolds"

note to self: an algorithm describes twists and connectivity of a state space. this defines processing that will occur if the space is embodied in a real machine and symbols placed into the space.
dijkstra -- i think we're onto something, buddy :)
...
in considering the topology of the state space, time is treated as a dimension.
the shape of the space is independent of the data that's put in it; the shape defines processing.
the connections between sub-spaces are object methods.

WOW

"Eureqa is a software tool for detecting equations and hidden mathematical relationships in your data. Its primary goal is to identify the simplest mathematical formulas which could describe the underlying mechanisms that produced the data. Eureqa is free to download and use."

this theory is interesting every time i run into it :)

neat! :)