(EBOOK PDF) The Outer Limits of Reason What Science Mathematics and Logic Cannot Tell Us 1st Edition by Noson Yanofsky ISBN 0262316781 9780262316781 full chapters

The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us 1st Edition by Noson S. Yanofsky – Ebook PDF Instant Download/Delivery: 0262316781, 9780262316781

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Product details:

ISBN 10: 0262316781

ISBN 13: 9780262316781

Author:  Noson S. Yanofsky 

The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us 1st Edition: This exploration of the scientific limits of knowledge challenges our deep-seated beliefs about our universe, our rationality, and ourselves.   “A must-read for anyone studying information science.” —Publishers Weekly, starred review Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own intuitions about the world—including our ideas about space, time, and motion, and the complex relationship between the knower and the known.   Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve:   • perfectly formed English sentences that make no sense • different levels of infinity • the bizarre world of the quantum • the relevance of relativity theory • the causes of chaos theory • math problems that cannot be solved by normal means • statements that are true but cannot be proven   Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

 

The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us 1st Edition Table of contents:

Chapter 1 Introduction
Chapter 2 Language Paradoxes
Chapter 3 Philosophical Conundrums
Chapter 4 Infinity Puzzles
Chapter 5 Computing Complexities
Chapter 6 Computing Impossibilities
Chapter 7 Scientific Limitations
Chapter 8 Metascientific Perplexities
Chapter 9 Mathematical Obstructions
Chapter 10 Beyond Reason

 

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