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I Am a Strange Loop - Douglas R. Hofstadter [130]

By Root 1705 0
it means. I wish I did! And I reckon that if I did, I would be the world’s greatest philosopher and psychologist rolled into one. As best I can guess, from far below such a Parnassus, it means we manufacture an enormously stripped-down version of our own strange loop of selfhood and install it at the core of our symbols for other people, letting that initially crude loopy structure change and grow over time. In the case of the people we know best — our spouse, our parents and siblings, our children, our dearest friends — each of these loops grows over the years to be a very rich structure adorned with many thousands of idiosyncratic ingredients, and each one achieves a great deal of autonomy from the stripped-down “vanilla” strange loop that served as its seed.

Content-free Feedback Loops

More light can be cast on this idea of a “vanilla” strange loop through our old metaphor of the audio feedback loop. Suppose a microphone and a loudspeaker have been connected together so that even a very soft noise will cycle around rapidly, growing louder and louder each pass through the loop, until it becomes a huge ear-piercing shriek. But suppose the room is dead silent at the start. In that case, what happens? What happens is that it remains dead silent. The loop is working just fine, but it is receiving zero noise and outputting zero noise, because zero times anything is still zero. When no signal enters a feedback loop, the loop has no perceptible effect; it might as well not even exist. An audio loop on its own does not a screech make. It takes some non-null input to get things off the ground.

Let’s now translate this scenario to the world of video feedback. If one points a TV camera at the middle of a blank screen, and if the camera sees only the screen and none of its frame, then despite its loopiness, all that this setup will produce, whether the camera stands still, tilts, turns, or zooms in and out (always without reaching the screen’s edge), is a fixed white image. As before, the fact that the image results from a closed feedback loop makes no difference, because nothing external is serving as the contents of that loop. I’ll refer to such a content-free feedback loop as a “vanilla” loop, and it’s obvious that two vanilla video loops will be indistinguishable — they are just empty shells with no recognizable traits and no “personal identity”.

If, however, the camera turns far enough left or right, or zooms out far enough to take in something external to the blank screen (even just the tiniest patch of color), a bit of the screen will turn non-blank, and then, instantly, that non-blank patch will get sucked into the video loop and cycled around and around, like a tree limb picked up by a tornado. Soon the screen will be populated with many bits of color forming a complex and self-stabilizing pattern. What gives this non-vanilla loop its recognizable identity is not merely the fact that the image contains itself, but just as crucially, the fact that external items in a particular arrangement are part of the image.

If we bring this metaphor back to the context of human identity, we could say that a “bare” strange loop of selfhood does not give rise to a distinct self — it is just a generic, vanilla shell that requires contact with something else in the world in order to start acquiring a distinctive identity, a distinctive “I”. (For those who enjoy the taboo thrills of non-wellfounded sets — sets that, contra Russell, may contain themselves as members — I might raise the puzzle of two singleton sets, x and y, each of which contains itself, and only itself, as a member. Are x and y identical entities or different entities? Trying to answer the riddle by defining two sets to be identical if and only if they have the same members leads one instantly into an infinite regress, and thus no answer is yielded. I prefer to brazenly cut the Gordian knot by declaring the two sets indistinguishable and hence identical.)

Baby Feedback Loops and Baby “I” ’s

Although I just conjured up the notion of a “vanilla” strange loop

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