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Exploring Randomness

Exploring Randomness

Paperback

Series: Discrete Mathematics and Theoretical Computer Science

Probability & StatisticsProgramming

ISBN10: 1447110854
ISBN13: 9781447110859
Publisher: Springer Nature
Published: Oct 17 2012
Pages: 164
Weight: 0.57
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English
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 the reader, ranging from the mathematical equivalent oftrivial fin- ger warm-ups for pianists, to substantial programming projects, to questions I can formulate precisely but don't know how to answer, to questions that I don't even know how to formulate precisely! I really want you to follow my example and hike offinto the wilder- ness and explore AIT on your own! You can stay on the trails that I've blazed and explore the well-known part of AIT, or you can go off on your own and become a fellow researcher, a colleague of mine! One way or another, the goal of this book is to make you into a participant, not a passive observer of AlT. In other words, it's too easy to just listen to a recording of AIT, that's not the way to learn music.

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