Exploring RANDOMNESS

  • Gregory J. Chaitin
Part of the Discrete Mathematics and Theoretical Computer Science book series (DISCMATH)

Table of contents

  1. Front Matter
    Pages i-x
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Gregory J. Chaitin
      Pages 29-43
  3. Program Size

  4. Randomness

  5. Future Work

About this book

Introduction

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.

Keywords

LISP Randomness Ringe Turing machine algorithms complexity logic sets

Authors and affiliations

  • Gregory J. Chaitin
    • 1
  1. 1.IBM Research DivisionThomas J. Watson Research CenterHawthorneUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-0307-3
  • Copyright Information Springer-Verlag London Limited 2001
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4471-1085-9
  • Online ISBN 978-1-4471-0307-3
  • About this book