And so ...

There's a strong argument to be made for tossing the concept of purpose onto the sentimental, self-delusional pile of anthropomorphisms. There's no proof that purpose exists beyond our own intentions. I can create something for a particular reason, and using the word purpose in describing it helps us exchange ideas. Other than that, we can't honestly prove that anything has a purpose. Does a lion intend to stalk and kill the antelope, or is it acting purely from instinct to behave in a particular way when prompted by certain stimulus? Can it truly consider the implications of its actions? Doesn't having purpose imply intention? (That being said, I still can't help but believe that my cats really do love me.) These ideas and Langton's Ants remind me of Valentino Braitenberg's "Vehicles" – the first few pages are available for preview on Amazon. Braitenberg’s thought experiment uses simple robots with basic instructions that lead to complex behaviors that appear to demonstrate intention, emotions, and even intelligence. The experiments demonstrate how easy it is to suppose purpose in observing behavior when you have no idea as to how something works. Braitenberg explains the "law of uphill analysis and downhill invention," meaning that it is much easier to create something with complex behavior than it is to guess the underlying structure of something by observation.

I’m confused about the distinction between deterministic and random systems. If we impose purpose and if “Randomness can generate anything that can result from rules if you have enough time to wait,” then how easily can the line be drawn? “See how important even a passive observer is? It is the observer who creates a story that gives meaning to what is taking place in the world of Langton's ant. And it is the meaning that creates the new questions that we use to further explore the world, including by becoming a participant in it and hence altering it.” “That a world does things that are surprising to an observer does not establish whether it is deterministic or not.” I find myself quite interested in the importance of the observer. The observer is also important to one’s understanding of much of physics including Quantum Mechanics’ uncertainty principle and inertial reference frames in General and Special Relativity. I find the quantum correlation especially interesting because many claim that quantum is not satisfactorily explained in Wolfram’s book and related theories of emergence.

While fiddling with Langton's ant I thought back to Wolfram's cellular automata. A striking similarity is that both depend not only on a set of rules but also the starting environment. Of course with Langton’s ant it doesn’t stop there; the interaction between the ant and the environment is clearly evident. When the ant moves she changes her environment, and as a result, it changes what she might do at that spot in the future. Changing the starting environment changes what the ant does too, just like with cellular automata, there is this intrinsic connection between the rules and environment. An interesting difference between the CA environments we've seen and our ant world is the ability to change our environment during the middle of an ant run. By allowing us to produce or remove "road blocks", i.e. add more dark or light squares, we can change the system at any given time. This is something that increases the complexity of the system a great deal. The ant’s future is still deterministic, but it is harder to comprehend what is happening from the outside. (This seems more like real life to me then the CAs we have been playing with because in the world there are more changes in the environment that affect our behavior other than a simple starting point.) Of course we could introduce environmental changes in CAs at different time points by randomly adjusting zeroes or ones at a given step. Isn't that where randomness can take a part even in a system that is deterministic? Not only could the Prime Mover create randomness in a neatly packaged starting condition but also by meddling with the system along the way. One thing I find frustrating about all of these examples including the Game of Life as well, is the fact that we are in a finite dimensional space in our computer that we are treating like a torus so we don't have to limit the number of times we apply the rules. The limitations of this space lead me to wonder how our system would behave if we truly had infinite dimension to go with the infinite number of time sets we use to apply the rules. I understand that the ant’s life is deterministic, but will it always make a road? Since the computer is constrained by some boundaries, I found that adding in lots of extra dark squares at a certain point in time in a random distribution made it "hard" for the ant to construct a road. I'm not saying that I know whether or not it would be impossible for the ant to produce a road by some point, but it went for a great deal of time (until my computer froze) without reaching it’s road-making purpose. Is there an amount and positioning of squares in our finite java applet space such that the ant is forever stuck trying to create a space without ever making it? Even if our space was truly infinite would it ever encounter a setup where it couldn’t build road? An interesting thing I tried was to set the left half of the starting environment to black squares and leaving the other half light (like a black and white cookie, oh, those are so good). My thinking was that it might not be able to make roads if the starting plane had an equal distribution of light and dark squares. When I pressed go the ant proceeded to move to the dark side (he he) but did not act as erratically as it had with the starting condition of all white squares. In fact, the ant almost moved in a perfectly straight line but rather than a straight line it looked more like it was following a tangent curve up and down the dark left half (of course movement is in the eye of the observer). However once it made the toroidal jump to the right white side, it behaved erratically once again and started on road construction. Now I think that difficulty building roads must have something more to do with the positioning of the dark and light squares rather than just their density.