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Tangled Hierarchy like those of Escher and Godel, an intellectual construction which
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reminds me, in ways I cannot express, of the beautiful many-voiced fugue of the human
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mind. And that is why in my book the three strands of Godel, Escher, and Bach are
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woven into an Eternal Golden Braid.
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DIALOGUE XXI: Six-Part Ricercar
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Achilles has brought his cello to the Crab's residence, to engage in an evening of
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chamber music with the Crab and Tortoise. He has been shown into the music
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room by his host the Crab, who is momentarily absent, having gone to meet their
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mutual friend the Tortoise at the door. The room is filled with all sorts of electronic
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equipment-phonographs in various states of array and disarray, television screens
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attached to typewriters, and other quite improbable-looking pieces of apparatus.
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Nestled amongst all this high-powered gadgetry sits a humble radio. Since the
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radio is the only thing in the room which Achilles knows how to use, he walks over
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to it, and, a little furtively, flicks the dial and f nds he has tuned into a panel
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discussion by six learned scholars on free will and determinism. He listens briefly
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and then, a little scornfully, flicks it off.
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Achilles: I can get along very well without such a program. After all, it's clear to anyone
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who's ever thought about it that-I mean, it's not a very difficult matter to resolve, once
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you understand how-or rather, conceptually, one can clear up the whole thing by
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thinking of, or at least imagining a situation where ... Hmmm ... I thought it was quite
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clear in my mind. Maybe I could benefit from listening to that show, after all...
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(Enter the Tortoise, carrying his violin.)
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Well, well, if it isn't our fiddler. Have you been practicing faithfully this week, Mr. T?
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I myself have been playing the cello part in the Trio Sonata from the Musical Offering
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for at least two hours a day. It's a strict regimen, but it pays off.
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Tortoise: I can get along very well without such a program. I find that a moment here, a
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moment there keeps me fit for fiddling.
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Achilles: Oh, lucky you. I wish it came so easily to me. Well, where is our host?
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Tortoise: I think he's just gone to fetch his flute. Here he comes.
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(Enter the Crab, carrying his flute.)
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Achilles: Oh, Mr. Crab, in my ardent practicing of the Trio Sonata this past week, all
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sorts of images bubbled into my mind: jolly gobbling bumblebees, melancholy
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buzzing turkeys, and a raft of others. Isn't it wonderful, what power music has?
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Crab: I can get along very well without such a program. To my mind.
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Achilles, there is no music purer than the Musical Offering.
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Tortoise: You can't be serious, Achilles. The Musical Offering isn't programmatic music!
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Achilles: Well, I like animals, even if you two stuffy ones disapprove.
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Crab: I don't think we are so stuffy, Achilles. Let's just say that you hear music in 'your
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own special way.
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Tortoise: Shall we sit down and play?
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Crab: I was hoping that a pianist friend of mine would turn up and play continuo. I've
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been wanting you to meet him, Achilles, for a long time. Unfortunately, it appears
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that he may not make it. So let's just go ahead with the three of us. That's plenty for a
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trio sonata.
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Achilles: Before we start, I just was wondering, Mr. Crab-what are all these pieces of
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equipment, which you have in here?
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Crab: Well, mostly they are just odds and ends-bits and pieces of old broken
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phonographs. Only a few souvenirs (nervously tapping the buttons), a few souvenirs
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of-of the TC-battles in which I have distinguished myself. Those keyboards attached
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to television screens, however, are my new toys. I have fifteen of them around here.
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They are a new kind of computer, a very small, very flexible type of computer quite
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an advance over the previous types available. Few others seem to be quite as
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enthusiastic about them as I am, but I have faith that they will catch on in time.
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Achilles: Do they have a special name?
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Crab: Yes; they are called "smart-stupids", since they are so flexible, and have the
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potential to be either smart or stupid, depending on how skillfully they are instructed.
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Achilles: Do you mean you think they could actually become smart like, say, a human
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being?
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Crab: I would not balk at saying so-provided, of course, that someone sufficiently versed
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in the art of instructing smart-stupids would make the effort. Sadly, I am not
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personally acquainted with anyone who is a true virtuoso. To be sure, there is one
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expert abroad in the land, an individual of great renown-and nothing would please me
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more than a visit by him, so that I could appreciate what true skill on the smart-stupid
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is; but he has never come, and I wonder if I shall ever have that pleasure.
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Tortoise: It would be very interesting to play chess against a well-instructed smart-stupid.
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Crab: An extremely intriguing idea. That would be a wonderful mark of skill, to program
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a smart-stupid to play a good game of chess. Even more interesting-but incredibly
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complicated-would be to instruct a smart-stupid sufficiently that it could hold its own
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in a conversation. It might give the impression that it was just another person!
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Achilles: Curious that this should come up, for I just heard a snatch of a discussion on
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free will and determinism, and it set me to thinking about such questions once more. I
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don't mind admitting that, as I pondered the idea, my thoughts got more and more
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tangled, and in the end I really didn't know what I thought. But this idea of a smart-
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stupid that could converse with you ... it boggles the mind. I mean,
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