Computable Universe, A

Understanding And Exploring Nature As Computation

By: Hector Zenil (Editor)

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Hardcover | 31 October 2012

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Hardcover
856 Pages

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22.86 x 15.24 x 4.45

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This volume, with a foreword by Sir Roger Penrose, discusses the foundations of computation in relation to nature.It focuses on two main questions:The contributors are world-renowned experts who have helped shape a cutting-edge computational understanding of the universe. They discuss computation in the world from a variety of perspectives, ranging from foundational concepts to pragmatic models to ontological conceptions and philosophical implications.The volume provides a state-of-the-art collection of technical papers and non-technical essays, representing a field that assumes information and computation to be key in understanding and explaining the basic structure underpinning physical reality. It also includes a new edition of Konrad Zuse's "Calculating Space" (the MIT translation), and a panel discussion transcription on the topic, featuring worldwide experts in quantum mechanics, physics, cognition, computation and algorithmic complexity.The volume is dedicated to the memory of Alan M Turing - the inventor of universal computation, on the 100th anniversary of his birth, and is part of the Turing Centenary celebrations.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Computing & I.T.Computer Science Applied Mathematics Mathematical Foundation Mathematical Logic Science Physics Booktopia Publisher Services

World Scientific Publishing

Foreword	p. xiii
Preface	p. xxxvii
Acknowledgements	p. xliii
Introducing the Computable Universe	p. 1
Historical, Philosophical & Foundational Aspects of Computation	p. 21
Origins of Digital Computing: Alan Turing, Charles Babbage, & Ada Lovelace	p. 23
Generating, Solving and the Mathematics of Homo Sapiens. E. Post's Views on Computation	p. 45
Machines	p. 63
Effectiveness	p. 77
Axioms for Computability: Do They Allow a Proof of Church's Thesis?	p. 99
The Mathematician's Bias ù and the Return to Embodied Computation	p. 125
Intuitionistic Mathematics and Realizability in the Physical World	p. 143
What is Computation? Actor Model versus Turing's Model	p. 159
Computation in Nature & the Real World	p. 187
Reaction Systems: A Natural Computing Approach to the Functioning of Living Cells	p. 189
Bacteria, Turing Machines and Hyperbolic Cellular Automata	p. 209
Computation and Communication in Unorganized Systems	p. 231
The Many Forms of Amorphous Computational Systems	p. 243
Computing on Rings	p. 257
Life as Evolving Software	p. 277
Computability and Algorithmic Complexity in Economics	p. 303
Blueprint for a Hypercomputer	p. 333
Computation & Physics & the Physics of Computation	p. 345
Information-Theoretic Teleodynamics in Natural and Artificial Systems	p. 347
Discrete Theoretical Processes (DTP)	p. 365
The Fastest Way of Computing All Universes	p. 381
The Subjective Computable Universe	p. 399
What Is Ultimately Possible in Physics?	p. 417
Universality, Turing Incompleteness and Observers	p. 435
Algorithmic Causal Sets for a Computational Spacetime	p. 451
The Computable Universe Hypothesis	p. 479
The Universe is Lawless or "Pantôn chrêmatôn metron anthrôpon einai"	p. 525
Is Feasibility in Physics Limited by Fantasy Alone?	p. 539
The Quantum, Computation & Information	p. 549
What is Computation? (How) Does Nature Compute?	p. 551
The Universe as Quantum Computer	p. 567
Quantum Speedup and Temporal Inequalities for Sequential Actions	p. 583
The Contextual Computer	p. 595
A Gödel-Turing Perspective on Quantum States Indistinguishable from Inside	p. 605
When Humans Do Compute Quantum	p. 617
Open Discussion Section	p. 629
Open Discussion on A Computable Universe	p. 631
Live Panel Discussion (transcription)	p. 671
What is Computation? (How) Does Nature Compute?	p. 673
Zusc's Calculating Space	p. 727
Calculating Space (Rechnender Raum)	p. 729
Afterword to Konrad Zuse's Calculating Space	p. 787
Index	p. 795
Table of Contents provided by Ingram. All Rights Reserved.

Computable Universe, A

Understanding And Exploring Nature As Computation

At a Glance

Hardcover

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