How Math Explains the World.pdf

(Marcin) #1
http://www.miskatonic.org/godel.html. The text box from Rudy Rucker’s Inf inity
and the Mind contains Gödel’s argument in computer-program form.


  1. See http:// www .cs .auckland .ac .nz/ CDMTCS/ chaitin/ georgia .html. This site ac-
    tually has an article that appeared relating Gödel’s theorem and information
    theory. It’s pretty close to readable if you’re comfortable with mathematical nota-
    tion.

  2. See http:// en .wikipedia .org/ wiki/ Elk _Cloner.

  3. Science 3 17 (July 13, 2007): pp. 210–11.

  4. S e e h t t p : / / w w w - g r o u p s. d c s. s t - a n d. a c. u k / ~ h i s t o r y / B i o g r a p h i e s / N o v i k o v. h t m l.

  5. See http://members.tripod.com/~dogschool/. Here’s a sh ort course in group
    theory with good graphics that will get you through the group theory that under-
    lies the Rubik’s Cube. The explanation for the reason this site has the whimsical
    title “The Dog School of Mathematics” can be found by going to the home page.

  6. See http://en.wikipedia.org/ wiki/Collatz_conjecture. This site has a lot of stuff,
    much of which can be read with only a high-school background—but not all
    of it.

  7. See http://en.wikipedia.org/ wiki/ Paul_Erdos. This site gives you a nice picture
    of Erdos’s life as well as his accomplishments.

  8. See http://en .wik ipedia.org/ wiki/Goodstein%27s_theorem. The opening para-
    graph calls attention to the fact that Goodstein’s theorem is a nonartificial exam-
    ple of an undecidable proposition. The mathematics is a little hard to read for the
    neophyte, but the persistent may be able to handle it.


Even Logic Has Limits 131 
Free download pdf