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The Outer Limits of Reason

Author: Noson S. Yanofsky

Publisher: MIT Press

Published: 2016-11-04

Total Pages: 419

ISBN-13: 026252984X

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

Author: Noson S. Yanofsky

Publisher: MIT Press

Published: 2013-08-23

Total Pages: 539

ISBN-13: 0262316781

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Mathematics and the Image of Reason

Author: Mary Tiles

Publisher: Routledge

Published: 2013-01-11

Total Pages: 210

ISBN-13: 1134967713

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A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic.

The Pea and the Sun

Author: Leonard M. Wapner

Publisher: CRC Press

Published: 2005-04-29

Total Pages: 233

ISBN-13: 1439864845

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Take an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.

Science Fiction Quotations

Author: Gary Westfahl

Publisher: Yale University Press

Published: 2008-10-01

Total Pages: 485

ISBN-13: 0300127642

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In this unprecedented collection of science fiction and fantasy quotations, the reader revisits the stunning moment when Mary Shelley’s Frankenstein monster first comes to life; witnesses the transformation of Robert Louis Stevenson’s Dr. Jekyll into Mr. Hyde; is present when Bruce Wayne resolves to become Batman; and overhears the cosmic conclusions of The Incredible Shrinking Man. Drawing upon two centuries of the vast and provocative literature of science fiction and fantasy, this comprehensive book presents more than 2,900 quotations from wide-ranging sources, including science fiction and fantasy stories, novels, films, and television programs. The quotations are organized by topic—alien worlds; darkness and light; robots, androids, and cyborgs; machines and technology; weapons; and more than one hundred others. The reader will encounter the wit and wisdom of renowned authors (H. G. Wells, Ray Bradbury, J. R. R. Tolkien, Ursula K. Le Guin) along with definitive versions of such important statements as Isaac Asimov’s Three Laws of Robotics and Star Trek’s Prime Directive. With its thorough index, this book is both an invaluable resource for the writer or scholar and an irresistible page-turner for the curious browser.

Kooks

Author: Donna Kossy

Publisher:

Published: 2001-05

Total Pages: 0

ISBN-13: 9780922915675

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New and expanded edition of Kossy's bizarre sourcebook to the outer limits of human belief. Packed with amazing facts, theories and some just very weird ideas, there is something for everyone here and lots more besides! Will drilling a hole in one's head cause enlightenment? Can a person's soul be captured in a hairnet? Is there scientific proof of God? All is revealed. Illustrated. 'Donna Kossy boldly blazes new trails in the vast intellectual wilderness of American writers, thinkers and philosophers who were or are completely nuts.' - Bruce Sterling

Beyond Pluto

Author: John Davies

Publisher: Cambridge University Press

Published: 2001-07-19

Total Pages: 260

ISBN-13: 9781139428774

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In the ten years preceding publication, the known solar system more than doubled in size. For the first time in almost two centuries an entirely new population of planetary objects was found. This 'Kuiper Belt' of minor planets beyond Neptune revolutionised our understanding of the solar system's formation and finally explained the origin of the enigmatic outer planet Pluto. This is the fascinating story of how theoretical physicists decided that there must be a population of unknown bodies beyond Neptune and how a small band of astronomers set out to find them. What they discovered was a family of ancient planetesimals whose orbits and physical properties were far more complicated than anyone expected. We follow the story of this discovery, and see how astronomers, theoretical physicists and one incredibly dedicated amateur observer came together to explore the frozen boundary of the solar system.

The Déjà Vu Experiment

Author: J. G. Renato

Publisher: Veritas Shield

Published: 2015-02-27

Total Pages: 71

ISBN-13: 0989718603

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They're everywhere around us, but usually we choose to ignore them. They happen in space. They happen in time. They’re little moments of discontinuity in our experience, but they can become portals to the greater experience of our world as illusion, as the veil, as maya, as the collective dream – and the experience of ourselves as the dreamers. If we choose not to ignore them, but to follow them, like Alice down a cosmic rabbit hole, we might just begin to understand how it was that we got here in the first place. Offering unique ways to look at light, quantum physics, string theory, the universe existing as a single unified melody, the power of imagination, free will, the language of mathematics, death, and more, Renato successfully challenged me to consider not just “Who am I?” but “What am I?” — Patricia Reding, Readers’ Favorite J. G. Renato attempts to uncover the deeper meaning behind that often disconcerting déjà vu we’ve all experienced at some time or other. He skillfully uses this sense of stepping out of one plane of reality and seeing things from a different perspective to explore the whole nature of being, presence, and existence. Most crucially, he poses the thorny question of how spiritual phenomena can fit within a world obsessed by rationality and tangible productivity. … The key achievement of this slight volume is managing to be metaphysical while remaining lighthearted and fun. — Seamus Mullarkey, ForeWord Reviews

Foolproof, and Other Mathematical Meditations

Author: Brian Hayes

Publisher: MIT Press

Published: 2018-10-30

Total Pages: 245

ISBN-13: 0262536072

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A non-mathematician explores mathematical terrain, reporting accessibly and engagingly on topics from Sudoku to probability. Brian Hayes wants to convince us that mathematics is too important and too much fun to be left to the mathematicians. Foolproof, and Other Mathematical Meditations is his entertaining and accessible exploration of mathematical terrain both far-flung and nearby, bringing readers tidings of mathematical topics from Markov chains to Sudoku. Hayes, a non-mathematician, argues that mathematics is not only an essential tool for understanding the world but also a world unto itself, filled with objects and patterns that transcend earthly reality. In a series of essays, Hayes sets off to explore this exotic terrain, and takes the reader with him. Math has a bad reputation: dull, difficult, detached from daily life. As a talking Barbie doll opined, “Math class is tough.” But Hayes makes math seem fun. Whether he's tracing the genealogy of a well-worn anecdote about a famous mathematical prodigy, or speculating about what would happen to a lost ball in the nth dimension, or explaining that there are such things as quasirandom numbers, Hayes wants readers to share his enthusiasm. That's why he imagines a cinematic treatment of the discovery of the Riemann zeta function (“The year: 1972. The scene: Afternoon tea in Fuld Hall at the Institute for Advanced Study in Princeton, New Jersey”), explains that there is math in Sudoku after all, and describes better-than-average averages. Even when some of these essays involve a hike up the learning curve, the view from the top is worth it.

The Outer Limits At 50

Author:

Publisher:

Published: 2014-02

Total Pages: 160

ISBN-13: 9780983917526

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There is nothing wrong with your television set...Fifty years ago, a new TV program called The Outer Limits exploded across the consciousness of an entire generation. A half-century later, Creature Features celebrates the Golden Anniversary of this classic and provocative series. The awe and mystery of the universe awaits!