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Exploring Randomness

3.75  ·  Rating details ·  8 ratings  ·  1 review
In The Unknowable I use LISP to compare my work on incompleteness with that of G6del and Turing, and in The Limits of Mathematics I use LISP to discuss my work on incompleteness in more detail. In this book we'll use LISP to explore my theory of randomness, called algorithmic information theory (AIT). And when I say "explore" I mean it! This book is full of exercises for t ...more
Hardcover, 164 pages
Published July 30th 2001 by Springer (first published January 25th 2001)
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David
Oct 14, 2013 rated it really liked it
Shelves: computers, math
I normally don’t do this, but I’m going to copy/paste this review across three separate books: Chaitin’s “The Unknowable”, “The Limits of Mathematics”, and “Exploring Randomness”.

All three are all thin, overpriced, but very approachable books on Algorithmic Information Theory. Themes include:

- Undecidability, as the basis of formulating a new kind of randomness measure for numbers that have already been generated (not just restricting randomness measures to the processes that generate numbers).

-
...more
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Gregory Chaitin is widely known for his work on metamathematics and for his discovery of the celebrated Omega number, which proved the fundamental unknowability of math. He is the author of many books on mathematics, including Meta Math! The Quest for Omega. Proving Darwin is his first book on biology. Chaitin was for many years at the IBM Watson Research Center in New York. The research described ...more