RANDOMNESS THROUGH COMPUTATION

Some Answers, More Questions

By: ZENIL HECTOR

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Hardcover | 25 February 2011

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Hardcover
440 Pages

Dimensions(cm)
22.86 x 15.24 x 2.54

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This review volume consists of a set of chapters written by leading scholars, most of them founders of their fields. It explores the connections of Randomness to other areas of scientific knowledge, especially its fruitful relationship to Computability and Complexity Theory, and also to areas such as Probability, Statistics, Information Theory, Biology, Physics, Quantum Mechanics, Learning Theory and Artificial Intelligence. The contributors cover these topics without neglecting important philosophical dimensions, sometimes going beyond the purely technical to formulate age old questions relating to matters such as determinism and free will.The scope of Randomness Through Computation is novel. Each contributor shares their personal views and anecdotes on the various reasons and motivations which led them to the study of Randomness. Using a question and answer format, they share their visions from their several distinctive vantage points.

Industry Reviews

I thoroughly enjoyed reading this gem of a book. Its target audience includes post-graduates and researchers in CS, statistics, applied mathematics, and related disciplines. It is surely a must-have book for any scientific library. Apart from research, the book also serves pedagogical and philosophical interests. -- ACM Computing Reviews "ACM Computing Reviews"
It is a book aimed at the general scientist/philosopher/mathematically literate reader. You won't learn the precise details of quantum mechanics in this book, but what you will learn is a great deal about current thinking of a collection of leading experts in a broad range of topics in and around randomness. It certainly gave me much food for thought. I certainly found a lot of food for thought here, and regard this as an excellent addition to my library. -- Amazon.com "Amazon.com"

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Preface	p. vii
Acknowledgments	p. xiii
Stochastic Randomness and Probabilistic Deliberations
Is Randomness Necessary?	p. 3
Probability is a Lot of Logic at Once: If You Don't Know Which One to Pick, Take 'em All	p. 7
Statistical Testing of Randomness: New and Old Procedures	p. 33
Scatter and Regularity Imply Benford's Law … and More	p. 53
Randomness and Computation in Connection to the Physical World
Some Bridging Results and Challenges in Classical, Quantum and Computational Randomness	p. 73
Metaphysics, Metamathematics and Metabiology	p. 93
Uncertainty in Physics and Computation	p. 105
Indeterminism and Randomness Through Physics	p. 109
The Martin-Löf-Chaitin Thesis: The Identification by Recursion Theory of the Mathematical Notion of Random Sequence	p. 121
The Road to Intrinsic Randomness	p. 141
Algorithmic Inference and Artificial Intelligence
Algorithmic Probability - Its Discovery - Its Properties and Application to Strong AI	p. 149
Algorithmic Randomness as Foundation of Inductive Reasoning and Artificial Intelligence	p. 159
Randomness, Occam's Razor, AI, Creativity and Digital Physics	p. 171
Randomness, Information and Computability
Randomness Everywhere: My Path to Algorithmic Information Theory	p. 179
The Impact of Algorithmic Information Theory on Our Current Views on Complexity, Randomness, Information and Prediction	p. 191
Randomness, Computability and Information	p. 197
Studying Randomness Through Computation	p. 207
Computability, Algorithmic Randomness and Complexity	p. 223
Is Randomness Native to Computer Science? Ten Years After	p. 243
Computational Complexity, Randomized Algorithms and Applications
Randomness as Circuit Complexity (and the Connection to Pseudorandomness)	p. 267
Randomness: A Tool for Constructing and Analyzing Computer Programs	p. 275
Connecting Randomness to Computation	p. 283
From Error-correcting Codes to Algorithmic Information Theory	p. 293
Randomness in Algorithms	p. 297
Panel Discussions (Transcriptions)
Is the Universe Random?	p. 309
What is Computation? (How) Does Nature Compute?	p. 351
Author Index	p. 405
Subject Index	p. 411
Table of Contents provided by Ingram. All Rights Reserved.

RANDOMNESS THROUGH COMPUTATION

Some Answers, More Questions

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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