The basic principle of an autocatalytic network is that even though nothing can make itself, everything in the pot has at least one reaction that mak… - J. Doyne Farmer

In a world of superintelligent humans, the account of a quest to prove a theorem may take on a universality in its drama that seems inconceivable to us now. I believe that rational adventure is fundamental to the human spirit, and that it won't go away. But it will evolve of necessity to take place in the increasingly abstract domains that characterize the boundaries and frontiers of an evolving and ever more complex and abstract world. As a result, it will evolve into forms that are difficult for us to even think about at this point in time.

Complex adaptive systems have the property that if you run them—by just letting the mathematical variable of "time" go forward—they'll naturally progress from chaotic, disorganized, undifferentiated, independent states to organized, highly differentiated, and highly interdependent states. Organized structures emerge spontaneously... A weak system gives rise only to simpler forms of self-organization; a strong one gives rise to more complex forms, like life.

The paradox that immediately bothers everyone who learns about the second law is this: If systems tend to become more disordered, why, then, do we see so much order around us? ...It seems to conflict with our "creation myth": In the beginning, there was a big bang. ...no one is saying that the second law of thermodynamics is wrong, just that there is a contrapuntal process organizing things at a higher level.