Gödel, Escher, Bach An Eternal Golden Braid by Douglas R. Hofstadter

However, it is important to see the distinction between perceiving one- self, and transcending oneself. You can gain visions of ...

sufficed: Simplicio, the educated simpleton, and Salviati, the knowledge- able thinker? What function does Sagredo have? Well, h ...

Edifying Thoughts of a Tobacco Smoker Achilles has been invited to the Crab's home. Achilles: I see you have made a few addition ...

Crab: You mean, a normal pipe with a tiny tree in front of it! Achilles: Oh, is that what it is? Well, in any case, when I first ...

482 music making (not necessarily in that order). He combined all four into a droll poem which he set to music. It can be found ...

A charming philosophy, is it not? Achilles: Indeed. Old Bach was a turner of phrases quite pleasin'. Crab: You took the very wor ...

built-in TV camera, minicomputer and so on, which could take itself apart and rebuild itself in such a way that it would not be ...

FIGURE 79. Tobacco Mosaic Virus. [From A. Lehninger, Biochemistry ( New York: Worth Publishers, 1976).] Achilles: What is the To ...

Crab: That's just what the other character in the Dialogue thought. But that's a preposterous interpretation of the statement. ( ...

to tighten up my defenses against the Tortoise's records. I concluded that a more modest aim than a record player which can play ...

Achilles: Is that what that bright green flash was for? Crab: That's right. That was the TV camera scanning the grooves. The gro ...

FIGURE 80. The Fair Captive, by Rene Magritte (1947). Crab: So I am. Achilles: Suppose I point the camera at the painting with t ...

(a) The simplest case. (d) A '1ailed self-engulfing". (b) Achilles' "corridor". (e) What happens when you zoom in. (c) What happ ...

(g) Starting to get weird ... (h) A "galaxy" is born. (i) The galaxy evolves ... (j) The late stages oj a galaxy. Count the numb ...

pointing the camera down any corridor. I'm merely pointing it at an ordinary TV screen. Crab: Look more carefully, Achilles. Do ...

astonishment crosses his face.) Good grief, Mr. Crab! There's a pulsating petal-pattern on the screen! Where do the pulsations c ...

FIGURE 82. The Air and the Song, by Rene Magritte (1964). Crab: Thank you. I had it specially done-it's a gold lining. Achilles: ...

CHAPTER XVI Self-Ref and Self-Rep IN THIS CHAPTER, we will look at some of the mechanisms which create self-reference in various ...

boggling at first. A couple of pictures may help (Figs. 83, 84). Figure 83 is a picture which can be interpreted on two levels. ...

The sentence "The sentence "The sentence ·'The sentence is infinitely long" is infinitely long·· is infinitely long" is infinite ...