Impossibility

Impossibility PDF

Author: John D. Barrow

Publisher: Oxford University Press, USA

Published: 1999

Total Pages: 294

ISBN-13: 0195130820

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Astronomer John Barrow takes an intriguing look at the limits of science, who argues that there are things that are ultimately unknowable, undoable, or unreachable.

Impossibility

Impossibility PDF

Author: John D. Barrow

Publisher:

Published: 2023

Total Pages: 0

ISBN-13: 9780197732359

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In 'Impossibility', John D. Barrow - one of our most elegant and accomplished science writers - argues convincingly that there are limits to human discovery, that there are things that are ultimately unknowable, undoable, or unreachable. Barrow first examines the limits of the human mind: our brain evolved to meet the demands of our immediate environment, and much that lies outside this small circle may also lie outside our understanding. He investigates practical impossibilities, such as those imposed by complexity, uncomputability, or the finiteness of time, space, and resources. Is the universe finite or infinite? Can information be transmitted faster than the speed of light? The book also examines deeper theoretical restrictions on our ability to know, including Gödel's theorem, which proved that there were things that could not be proved.

The Outer Limits of Reason

The Outer Limits of Reason PDF

Author: Noson S. Yanofsky

Publisher: MIT Press

Published: 2016-11-04

Total Pages: 419

ISBN-13: 026252984X

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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 Island of Knowledge

The Island of Knowledge PDF

Author: Marcelo Gleiser

Publisher: Civitas Books

Published: 2014-06-03

Total Pages: 370

ISBN-13: 0465031714

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Why discovering the limits to science may be the most powerful discovery of allHow much can we know about the world? In this book, physicist Marcelo Gleiser traces our search for answers to the most fundamental questions of existence, the origin of the universe, the nature of reality, and the limits of knowledge. In so doing, he reaches a provocative conclusion: science, like religion, is fundamentally limited as a tool for understanding the world. As science and its philosophical interpretations advance, we face the unsettling recognition of how much we don't know. Gleiser shows that by aband.

The End Of Science

The End Of Science PDF

Author: John Horgan

Publisher: Basic Books

Published: 2015-04-14

Total Pages: 368

ISBN-13: 0465050859

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As staff writer for Scientific American, John Horgan has a window on contemporary science unsurpassed in all the world. Who else routinely interviews the likes of Lynn Margulis, Roger Penrose, Francis Crick, Richard Dawkins, Freeman Dyson, Murray Gell-Mann, Stephen Jay Gould, Stephen Hawking, Thomas Kuhn, Chris Langton, Karl Popper, Stephen Weinberg, and E.O. Wilson, with the freedom to probe their innermost thoughts? In The End Of Science, Horgan displays his genius for getting these larger-than-life figures to be simply human, and scientists, he writes, "are rarely so human . . . so at there mercy of their fears and desires, as when they are confronting the limits of knowledge."This is the secret fear that Horgan pursues throughout this remarkable book: Have the big questions all been answered? Has all the knowledge worth pursuing become known? Will there be a final "theory of everything" that signals the end? Is the age of great discoverers behind us? Is science today reduced to mere puzzle solving and adding detains to existing theories? Horgan extracts surprisingly candid answers to there and other delicate questions as he discusses God, Star Trek, superstrings, quarks, plectics, consciousness, Neural Darwinism, Marx's view of progress, Kuhn's view of revolutions, cellular automata, robots, and the Omega Point, with Fred Hoyle, Noam Chomsky, John Wheeler, Clifford Geertz, and dozens of other eminent scholars. The resulting narrative will both infuriate and delight as it mindless Horgan's smart, contrarian argument for "endism" with a witty, thoughtful, even profound overview of the entire scientific enterprise. Scientists have always set themselves apart from other scholars in the belief that they do not construct the truth, they discover it. Their work is not interpretation but simple revelation of what exists in the empirical universe. But science itself keeps imposing limits on its own power. Special relativity prohibits the transmission of matter or information as speeds faster than that of light; quantum mechanics dictates uncertainty; and chaos theory confirms the impossibility of complete prediction. Meanwhile, the very idea of scientific rationality is under fire from Neo-Luddites, animal-rights activists, religious fundamentalists, and New Agers alike. As Horgan makes clear, perhaps the greatest threat to science may come from losing its special place in the hierarchy of disciplines, being reduced to something more akin to literaty criticism as more and more theoreticians engage in the theory twiddling he calls "ironic science." Still, while Horgan offers his critique, grounded in the thinking of the world's leading researchers, he offers homage too. If science is ending, he maintains, it is only because it has done its work so well.

The Book of Universes

The Book of Universes PDF

Author: John D. Barrow

Publisher: W. W. Norton & Company

Published: 2011

Total Pages: 369

ISBN-13: 0393081214

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Barrow presents an unforgettable tour of the strange and wonderful universes that modern physics posits might--just might--be out there.

Beyond Reason

Beyond Reason PDF

Author: A. K. Dewdney

Publisher: John Wiley & Sons

Published: 2004-05-10

Total Pages: 234

ISBN-13: 0471652423

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A mind-bending excursion to the limits of science and mathematics Are some scientific problems insoluble? In Beyond Reason, internationally acclaimed math and science author A. K. Dewdney answers this question by examining eight insurmountable mathematical and scientific roadblocks that have stumped thinkers across the centuries, from ancient mathematical conundrums such as "squaring the circle," first attempted by the Pythagoreans, to G?del's vexing theorem, from perpetual motion to the upredictable behavior of chaotic systems such as the weather. A. K. Dewdney, PhD (Ontario, Canada), was the author of Scientific American's "Computer Recreations" column for eight years. He has written several critically acclaimed popular math and science books, including A Mathematical Mystery Tour (0-471-40734-8); Yes, We Have No Neutrons (0-471-29586-8); and 200% of Nothing (0-471-14574-2).

Pi in the Sky

Pi in the Sky PDF

Author: John D. Barrow

Publisher: Oxford University Press, USA

Published: 1992

Total Pages: 344

ISBN-13:

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Famous cosmologist and prolific author John Barrow explores the origin and nature of mathematics and explains the important implications of the numerous unanswered questions in our search for a theory of everything. He weaves together a history of math that illuminates its far-reaching capabilities and its intrinsic limitations, its proven and unproven theories, and its pervasive impact on the way people think and live. Annotation copyrighted by Book News, Inc., Portland, OR

The Limits of Organization

The Limits of Organization PDF

Author: Kenneth J. Arrow

Publisher: W. W. Norton & Company

Published: 1974-02-17

Total Pages: 61

ISBN-13: 0393355799

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The tension between what we wish for and what we can get, between values and opportunities, exists even at the purely individual level. A hermit on a mountain may value warm clothing and yet be hard-pressed to make it from the leaves, bark, or skins he can find. But when many people are competing with each other for satisfaction of their wants, learning how to exploit what is available becomes more difficult. In this volume, Nobel Laureate Kenneth J. Arrow analyzes why - and how - human beings organize their common lives to overcome the basic economic problem: the allocation of scarce resources. The price system is one means of organizing society to mediate competition, and Arrow analyzes its successes and failures. Alternative modes of achieving efficient allocation of resources are explored: government, the internal organization of the firm, and the 'invisible institutions' of ethical and moral principles. Professor Arrow shows how these systems create channels to make decisions, and discusses the costs of information acquisition and retrieval. He investigates the factors determining which potential decision variables are recognized as such. Finally, he argues that organizations must achieve some balance between the power of the decision makers and their obligation to those who carry out their decisions - between authority and responsibility.