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Author: Eugenia Cheng
Publisher: Profile Books
ISBN: 1782830812
Category : Mathematics
Languages : en
Pages : 191
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Book Description
SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.
Author: Eugenia Cheng
Publisher: Profile Books
ISBN: 1782830812
Category : Mathematics
Languages : en
Pages : 191
Get Book Here
Book Description
SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.
Author: Noson S. Yanofsky
Publisher: MIT Press
ISBN: 026252984X
Category : Science
Languages : en
Pages : 419
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Book Description
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.
Author: John Davies
Publisher: Cambridge University Press
ISBN: 9781139428774
Category : Science
Languages : en
Pages : 260
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Book Description
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.
Author: Edgar Evans Cayce
Publisher: Cosimo, Inc.
ISBN: 1931044686
Category : Body, Mind & Spirit
Languages : en
Pages : 159
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Book Description
Edgar Cayce, America's "sleeping prophet," was one of the most active and trusted psychics of the 20th century. Thousands of people relied on him for insights into their physical and emotional health, spiritual questions, business prospects, and dreams. His writings still inform us today. Cayce's readings were stunningly accurate -- about 85 percent of them hit the mark. But some cases seemed to be beyond his abilities. Why did his powers fail him at times -- if they in fact did? In "The Outer Limits of Edgar Cayce's Power," his sons, Edgar Evans Cayce and Hugh Lynn Cayce, investigate the questions that challenged the prophet's seemingly unlimited psychic abilities.
Author: Suzette V. Suarez
Publisher: Springer Science & Business Media
ISBN: 3540798587
Category : Science
Languages : en
Pages : 290
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Book Description
A. The Outer Limits of the Continental Shelf The 1982 United Nations Convention on the Law of the Sea (herein- ter the “Convention”) marks the beginning of a new era in the law of 1 the sea. The negotiations for this treaty at the Third United Nations Conference for the Law of the Sea (hereinafter “UNCLOS III”), lasted for nine years, from 1973 to 1982. The Convention regulates the principal aspects of international oceans affairs. It establishes and fixes the limits of maritime zones, provides for the rights and duties of states in these zones, establishes the law app- cable in the international seabed area on the basis of the principle of common heritage of mankind, imposes obligations on states to protect the marine environment, and provides for the means of dispute sett- ment. One of the most contentious and divisive issues at UNCLOS III were the outer limits of the continental shelf. Previously, in the 1958 Con- 2 vention on the Continental Shelf (hereinafter the “1958 Convention”), no limits were established for the continental shelf. States were allowed to claim areas of continental shelves based on their capacity to exploit the mineral resources of the shelf. The legal framework in the 1958 Convention would obviously conflict with the principle of the common heritage of mankind. Delegates realized that limits have to be est- lished, but up to where and on the basis of which principles, was a c- tentious question.
Author: Larry Niven
Publisher:
ISBN: 9780722163818
Category : Short stories, English
Languages : en
Pages : 200
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Book Description
Author: David J. Schow
Publisher:
ISBN: 9780966516906
Category : Outer limits (Television program : 1963-1965)
Languages : en
Pages : 0
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Book Description
Author: Roald Hoffmann
Publisher: Oxford University Press
ISBN: 0199750564
Category : Science
Languages : en
Pages : 192
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Book Description
Throughout its long history, and not just as the key aesthetic category for the Romantic Movement, the sublime has created the necessary link between aesthetic and moral judgment, offering the prospect of transcending the limits of measurement, even imagination. The best of science makes genuine claims to the sublime. For in science, as in art, every day brings the entirely new, the extreme, and the unrepresentable. How does one depict negative mass, for example, or the folding of a protein that is contagious? Can one capture emergent phenomena as they emerge? Science is continually faced with describing that which is beyond. This book, through contributions from nine prominent scholars, tackles that challenge. The explorations within Beyond the Finite range from the images taken by the Hubble Telescope to David Bohm's quantum romanticism, from Kant and Burke to a "downward spiraling infinity" of the 21st century sublime, all lucid yet transcendent. Squarely positioned at the interface between science and art, this volume's chapters capture a remarkable variety of perspectives, with neuroscience, chemistry, astronomy, physics, film, painting and music discussed in relation to the sublime experience, topics surely to peak the interest of academics and students studying the sublime in various disciplines.
Author: Joanna Mossop
Publisher: Oxford University Press
ISBN: 0191078700
Category : Law
Languages : en
Pages : 470
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Book Description
Under the United Nations Law of the Sea Convention, States have sovereign rights over the resources of their continental shelf out to 200 nautical miles from the coast. Where the physical shelf extends beyond 200 nautical miles, States may exercise rights over those resources to the outer limits of the continental shelf. More than 80 States may be entitled to claim sovereign rights over their continental shelf where it extends beyond 200 nautical miles from their coast, and the Commission on the Limits of the Continental Shelf is currently examining many of these claims. This book examines the nature of the rights and obligations of coastal States in this area, with a particular focus on the options for regulating activities on the extended continental shelf. Because the extended continental shelf lies below the high seas, the area poses unique legal challenges for coastal States that are different from those faced in respect of the shelf within 200 nautical miles. In addition, the United Nations Convention on the Law of the Sea imposes some specific obligations that coastal States must comply with in respect of the extended continental shelf. The book discusses the development of the concept of the extended continental shelf. It explores a range of issues facing the coastal State in regulating matters such as environmental protection, fishing, bioprospecting, exploitation of non-living resources and marine scientific research on the extended continental shelf. The book proposes a framework for navigating the intersection between the high seas and the extended continental shelf and minimising the potential for conflict between flag and coastal States.
Author: Marge Piercy
Publisher: Fawcett
ISBN: 0307775224
Category : Fiction
Languages : en
Pages : 448
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Book Description
"A triumph of the imagination. Rich, complex, impossible to put down."—Alice Hoffman In the middle of the twenty-first century, life as we know it has changed for all time. Shira Shipman's marriage has broken up, and her young son has been taken from her by the corporation that runs her zone, so she has returned to Tikva, the Jewish free town where she grew up. There, she is welcomed by Malkah, the brilliant grandmother who raised her, and meets an extraordinary man who is not a man at all, but a unique cyborg implanted with intelligence, emotions—and the ability to kill. . . . From the imagination of Marge Piercy comes yet another stunning novel of morality and courage, a bold adventure of women, men, and the world of tomorrow.
