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Randomness and Complexity, from Leibniz to Chaitin~tqw~ darksiderg

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Randomness and Complexity, from Leibniz to Chaitin
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Type.................: Ebook
Part Size............: 24,021,114 bytes




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Posted by............: ~tqw~

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Release Notes
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The book is a collection of papers written by a selection of eminent authors
from around the world in honour of Gregory Chaitin's 60th birthday. This is a
unique volume including technical contributions, philosophical papers and
essays.

Table Of Contents
Preface v
Technical Contributions
1. On Random and Hard-to-Describe Numbers 3
2. Computing Beyond Classical Logic: SVD Computation in Nonassociative Dickson
Algebras 13
3. Janus–Faced Physics: On Hilbert’s 6th Problem 25
4. The Implications of a Cosmological Information Bound for Complexity, Quantum
Information and the Nature of Physical Law 69
5. What Is a Computation? 89
6. On the Kolmogorov-Chaitin Complexity for Short Sequences 123
7. Circuit Universality of Two Dimensional Cellular
Automata: A Review 131
8. Chaitin’s Graph Coloring Algorithm 153
9. A Berry-type Paradox 155
10. Omega in Number Theory 161
11. The Secret Number. An Exposition of Chaitin’s Theory 175
12. Complexity of the Set of Nonrandom Numbers 217
13. Omega and the Time Evolution of the n-Body Problem 231
14. Binary Lambda Calculus and Combinatory Logic 237
Philosophy
15. Where Do New Ideas Come From? How Do They Emerge? Epistemology as
Computation (Information Processing) 263
16. The Dilemma Destiny/Free–Will 281
17. Aliquid Est Sine Ratione: On Some Philosophical Conequences of Chaitin’s
Quest for Omega 287
Essays
18. Proving and Programming 301
19. God’s Number: Where Can We Find the Secret of the Universe? In a Single
Number! 321
20. Omega Numbers 343
21. Chaitin and Civilization 2.0 359
22. Some Modern Perspectives on the Quest for Ultimate Knowledge 367
23. An Enquiry Concerning Human (and Computer!) [Mathematical] Understanding 383
Reminiscences
24. In the Company of Giants 413
25. Gregory Chaitin: Mathematician, Philosopher, and Friend 417
Cuvre
26. Algorithmic Information Theory: Some Recollections 423
Celebration
27. Chaitin Celebration at the NKS2007 Conference 445
Index

Product Details

* ISBN: 9812770828
* ISBN-13: 9789812770820
* Format: Hardcover, 445pp
* Publisher: World Scientific Publishing Company, Incorporated
* Pub. Date: October 2007

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