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Babbage: Oh, Mr. Crab, I assure you that the honor is truly all mine, to meet someone so
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eminent in all the sciences as yourself, someone whose knowledge and skill in music
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are irreproachable, and someone whose hospitality exceeds all bounds. And I am sure
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that you expect no less than the highest sartorial standards of your visitors; and yet I
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must confess that I cannot meet those most reasonable standards, being in a state of
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casual attire as would not by any means befit a visitor to so eminent and excellent a
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Crab as Your Crab.
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Crab: If I understand your most praiseworthy soliloquy, most welcome guest, I take it
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that you'd like to change your clothes. Let me then assure you that there could be no
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more fitting attire than yours for the circumstances which this evening prevail; and I
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would beseech you to uncoat yourself and, if you do not object to the music-making of
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the most rank amateurs, please accept a " Musical Offering ", consisting of ten canons
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from Sebastian Bach's Musical Offering, as a token of our admiration.
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Babbage: I am most bewilderingly pleased by your overkind reception, Mr. Crab, and in
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utmost modesty do reply that there could be no deeper gratitude than that which I
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experience for the offer of a performance of music given to us by the illustrious Old
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Bach, that organist and composer with no rival.
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Crab: But nay! I have a yet better idea, one which I trust might meet with the approval of
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my esteemed guest; and that is this: to give you the opportunity, Mr. Babbage, of
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being among the first to try out my newly delivered and as yet hardly tested "smart-
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stupids"-streamlined realizations, if you will, of the Analytical Engine. Your fame as a
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virtuoso programmer of computing engines has spread far and wide, and has not failed
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to reach as far as Madstop; and there could be for us no greater delight than the
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privilege of observing your skill as it might be applied to the new and challenging
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"smart-stupids".
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Babbage: Such an outstanding idea has not reached my ears for an eon. I
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welcome the challenge of trying out your new "smart-stupids", of which I have only
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the slightest knowledge by means of hearsay.
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Crab: Then let us proceed! But excuse my oversight! I should have introduced my guests
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to you. This is Mr. Tortoise, this is Achilles, and the Author, Douglas Hofstadter.
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Babbage: Very pleased to make your acquaintance, I'm sure.
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(Everyone walks over toward one of the smart-stupids, and Babbage sits down and
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lets his fingers run over the keyboard.)
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A most pleasant touch. Crab: I am glad you like it.
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(All at once, Babbage deftly massages the keyboard with graceful strokes, inputting
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one command after another. After a few seconds, he sits back, and in almost no
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time, the screen begins filling with figures. In a flash, it is totally covered with
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thousands of tiny digits, the first few of which go: "3.14159265358979323846264
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... ")
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Achilles: Pi!
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Crab: Exquisite! I'd never imagined that one could calculate so mane digits of pi so
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quickly, and with so tiny an algorithm. Babbage: The credit belongs exclusively to the
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smart-stupid. My role was
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merely to see what was already potentially present in it, and to exploit its instruction set
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in a moderately efficient manner. Truly, anyone who practices can do such tricks.
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Tortoise: Do you do any graphics, Mr. Babbage? Babbage: I can try.
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Crab: Wonderful! Here, let me take you to another one of in,.-1 want you to try them all!
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(And so Babbage is led over to another of the many smart-stupids, and takes a seat.
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Once again, his fingers attack the keyboard of the smartstupid, and in half a trice,
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there appear on the screen an enormous number of lines, swinging about on the
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screen.)
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Crab: How harmonious and pleasing these swirling shapes are, as they constantly collide
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and interfere with each other!
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Author: And they never repeat exactly, or even resemble ones which have come before. It
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seems an inexhaustible mine of beauty.
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Tortoise: Some are simple patterns which enchant the eye; others are indescribably
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complex convolutions which boggle and yet simultaneously delight the mind.
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Crab: Were you aware, Mr. Babbage, that these are color screens? Babbage: Oh, are
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they? In that case, I can do rather more with this algorithm. Just a moment. ( Types in a
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few new commands, then pushes two keys down at once and holds them.) As I release
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these two keys, the display will include all the colors of the spectrum. ( Releases them.)
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Achilles: Oh, what spectacular color! Some of the patterns look like they're jumping out
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at me now!
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Tortoise: I think that is because they are all growing in size.
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Babbage: That is intentional. As the figures grow, so may the Crab's fortune.
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Crab: Thank you, Mr. Babbage. Words fail to convey my admiration for your
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performance! Never has anyone done anything comparable on my smart-stupids. Why,
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you play the smart-stupids as if they were musical instruments, Mr. Babbage!
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Babbage: I am afraid that any music I might make would be too harsh for the ears of such
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a gentle Crab as your Crab. Although I have lately become enamoured of the sweet
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sounds of the hurdy-gurdy, I am well aware of the grating effect they can have upon
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others.
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Crab: Then, by all means, continue on the smart-stupids! In fact, I have a new idea-a
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marvelously exciting idea!
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Babbage: What is it?
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Crab: I have recently invented a Theme, and it only now occurred to me that, of all
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