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Dewdney, A. K.
Beyond Reason
Eight Great Problems That Reveal the Limits of Science

1. Edition - May 2004
24.90 Euro
2004. 240 Pages, Hardcover
ISBN-10: 0-471-01398-6
ISBN-13: 978-0-471-01398-3 - John Wiley & Sons


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Sample Chapter

Short description
Beyond Reason presents eight concrete examples of the worlds unsolvable problems. Yet, rather than acting as dead ends, these unworkable problems actually enrich the pursuit of science and math. Among the "impossibilities" are some of the mathematical theorems we will never prove (Godel's Theorem); the math problems that are so thorny, computers can solve them only by taking an infinite amount of time (Cook's Theorem); and the systems (such as weather) whose long-term behavior cannot be predicted (Chaos Theory).

From the contents
Introduction: Where Reason Cannot Go.

Math in the Cosmos.

1. The Energy Drain: Impossible Machines.

2. The Cosmic Limit: Unreachable Speeds.

3. The Quantum Curtain: Unknowable Particles.

4. The Edge of Chaos: Unpredictable Systems.

Math in the Holos.

5. The Circular Crypt: Unconstructable Figures.

6. The Chains of Reason: Unprovable Theorems.

7. The Computer Treadmill: Impossible Programs.

8. The Big-O Bottleneck: Intractable Problems.

References.

Further Reading.

Index.


 
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