If we taboo “emergence” what do we think is going on with Langton’s Ant?
We have one description of the ant/grid system in Langton’s Ant: namely, the rules which totally govern the behavior of the system. We have another description of the system, however: the recurring “highway” pattern that apparently results from every initial configuration tested. These two descriptions seem to be connected, but we’re not entirely sure how (The only explanation we have is akin to this: Q: Why does every initial configuration eventually result in the highway pattern? A: The rules did it.) That is, we have a gap in our map.
Since the rules, which we understand fairly well, seem on some intuitive sense to be at a “lower level” of description than the pattern we observe, and since the pattern seems to depend on the “low-level” rules in some way we can’t describe, some people call this gap “emergence.”
I recall hearing, although I can’t find a link, that the Langton Ant problem has been solved recently. That is, someone has given a formal proof that every ant results in the highway pattern.
We have one description of the ant/grid system in Langton’s Ant: namely, the rules which totally govern the behavior of the system. We have another description of the system, however: the recurring “highway” pattern that apparently results from every initial configuration tested. These two descriptions seem to be connected, but we’re not entirely sure how (The only explanation we have is akin to this: Q: Why does every initial configuration eventually result in the highway pattern? A: The rules did it.) That is, we have a gap in our map.
Since the rules, which we understand fairly well, seem on some intuitive sense to be at a “lower level” of description than the pattern we observe, and since the pattern seems to depend on the “low-level” rules in some way we can’t describe, some people call this gap “emergence.”
I recall hearing, although I can’t find a link, that the Langton Ant problem has been solved recently. That is, someone has given a formal proof that every ant results in the highway pattern.