Recommended Further Reading

  1. D. H. Bailey, J. M. Borwein: ``Experimental mathematics,'' in B. Engquist, W. Schmid: Mathematics Unlimited, Springer-Verlag, 2001, pp. 51-66. (Math)

  2. R. Benkirane: ``Complexity, logic and randomness---Interview with Gregory Chaitin,'' available on the web in French at 
    http://www.cs.umaine.edu/~chaitin/benkirane.html
http://www.cs.auckland.ac.nz/CDMTCS/chaitin/benkirane.html
    (A more technical interview than the ones included in this book; exclusively on my work.)

    [I hope to eventually replace this with an English translation.]

  3. L. Brisson, F. W. Meyerstein: Inventing the Universe, State University of New York Press, 1995. (Philosophy)

  4. J. L. Casti: Mathematical Mountaintops, Oxford University Press, 2001, in press. (Math)

  5. J. L. Casti, W. DePauli: Gödel, A Life of Logic, Perseus Publishing, 2000. (Math, Biography)

  6. G. J. Chaitin: The Limits of Mathematics, The Unknowable, Exploring Randomness, Springer-Verlag, 1998, 1999, 2001. (Math, Computer Science)

  7. A. Doxiadis: Uncle Petros and Goldbach's Conjecture, Bloomsbury, 2000. (Fiction)

  8. S. Hafner: The Elements of Style, Vivisphere Publishing, 1999. (Fiction)

  9. G. Martínez: Regarding Roderer, St. Martin's Press, 1994. (Fiction)

  10. J. Maynard Smith, E. Szathmáry: The Origins of Life, Oxford University Press, 1999. (Biology)

  11. T. Nørretranders: The User Illusion, Viking, 1998. (Psychology)

  12. D. Ruelle: Chance and Chaos, Princeton University Press, 1991. (Physics)

  13. V. Tasic: Mathematics and the Roots of Postmodern Thought, Oxford University Press, 2001, in press. (Philosophy)

  14. T. Tymoczko: New Directions in the Philosophy of Mathematics, Princeton University Press, 1998. (Philosophy)

  15. S. Wolfram: A New Kind of Science, Wolfram Media, 2002? (Physics, Computer Science)

    [For many years Stephen Wolfram has been pursuing a private vision regarding many of the questions discussed here; this will soon be available as this massive book. On the one hand, Wolfram's view of complexity and randomness is diametrically opposed to mine, and his notion of irreducibility involves time, not information. On the other hand, he melds physics and computer science, as I attempt to do here, and he reaches conclusions regarding the foundations of mathematics that are similar to mine. Amazingly enough, his book has almost no equations, it has many, many illustrations, and it can be profitably read by a bright high-school student (although there are several hundred pages of technical notes at the end of the book for more sophisticated readers).]