Conway’s Game of Life is Turing-complete. Therefore, it is possible to create an AI in it. If you created a 3^^3 by 3^^3 Life board, setting the initial state at random, presumably somewhere an AI would be created.
I don't think Turing-completeness implies that.
Consider the similar statement: "If you loaded a Turing machine with a sufficiently long random tape, and let it run for enough clock ticks, an AI would be created." This is clearly false: Although it's possible to write an AI for such a machine, the right selection pressures don't exist to produce one this way; the machine is overwhelmingly likely to just end up in an uninteresting infinite loop.
Likewise, the physics of Life are most likely too impoverished to support the evolution of anything more than very simple self-replicating patterns.
Consider the similar statement: "If you loaded a Turing machine with a sufficiently long random tape, and let it run for enough clock ticks, an AI would be created." This is clearly false
That is not the same thing at all, though.
Conway’s Game of Life is Turing-complete. Therefore, it is possible to create an AI in it. If you created a 3^^3 by 3^^3 Life board, setting the initial state at random, presumably somewhere an AI would be created. Would this AI somehow take over the whole game board, if given enough time?
Would this be visible from the top, as it were?
EDIT: I probably meant 3^^^3, sorry. Also, by generating at random, I meant 50% chance on. But any other chance would work too, I suspect.