Randomness and Complexity, from Leibniz to Chaitin

From Leibniz to Chaitin

By: Cristian S Calude (Editor)

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Hardcover | 1 May 2008

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468 Pages

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15.9 x 23.7 x 3.1

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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.

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Stochastics Computing & I.T.Computer Science Mathematical Theory of Computation Number Theory History of Mathematics Science Science in General Philosophy of Science

Systems Analysis & Design Booktopia Publisher Services World Scientific Publishing

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

Randomness and Complexity, from Leibniz to Chaitin

From Leibniz to Chaitin

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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