Gödel, Escher, Bach An Eternal Golden Braid by Douglas R. Hofstadter
FIGURE 24. Reptiles, by M. C. Escher (lithograph, 1943). Achilles: Well, YOU can read it if you want, but as for me, I'm not goi ...
118 Tortoise (muttering): Eh? This story looks fascinating. Achilles: Mr. T, Mr. T, help! Help catch the tonic-flask! Tortoise: ...
FIGURE 25. Cretan Labyrinth (Italian engraving; School of Finiguerra). [From W. H. Matthews, Mazes and Labyrinths: Their History ...
120 (To emphasize his point, he sticks out his walking stick against the wall surface as he walks. As the stick bounces back and ...
Achilles: How am I ever going to win footraces against full-sized people when I am smaller than a flea, Mr. Tortoise? Tortoise: ...
122 manipulate your emotions, and to build up hopes in you to hear that tonic. Achilles: But you were going to tell me about mod ...
thing in mind when listening to a piece of music? Is music only an intellectual exer- cise? Tortoise: No, of course not. Some mu ...
Achilles-are you all right? Achilles: Just a bit shaken up but otherwise fine. ] fell into some big hole. Tortoise: You've falle ...
(And the two friends begin munching the popcorn (or pushcorn?)-and all at once-POP! I guess it was popcorn, after all.) Tortoise ...
126 forward one whit to the long walk back from your house. I am bushed, and doubt if I could have made it. Achilles: I don't mi ...
CHAPTER V Recursive Structures and Processes What Is Recursion? WHAT IS RECURSION? It is what was illustrated in the Dialogue Li ...
Pushing, Popping. and Stacks In the preceding example, I have introduced some basic terminology of recursion-at least as seen th ...
secondary ones are in some Escher picture-and then they found this book and are reading in it, so it's the tertiary Achilles and ...
and a global resolution. In fact, a pseudoresolution should heighten the global tension, not relieve it, because it is a piece o ...
droll tales of absentminded professors who would begin a sentence, ramble on for an entire lecture, and then finish up by rattli ...
(a) ORNATE NOUN, (b) FANCY NOUN, FIGURE 27. Recursive Transition Networks for ORNATE NOUN and FANCY NOUN. not exhibited any true ...
So we spit out an ORNATE NOUN: "the strange bagels"; a RELATIVE PRO- NOUN: "that"; and now we are suddenly asked for a FANCY NOU ...
whenever it wants a relative clause. This is an example of indirect recursion. It is reminiscent also of the two-step version of ...
Diagram G and Recursive Sequences Infinite geometrical structures can be defined in just this way-that is, by expanding node aft ...
FlBO(n): FIGURE 30. Diagram G, further expanded and with numbered nodes. defined recursively by the pair of formulas FIBO(n) = F ...
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