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The Art Of The Infinite

Author: Robert Kaplan
Publisher: Bloomsbury Publishing USA
ISBN: 160819888X
Size: 57.37 MB
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A classic now available in a new, expanded edition-a witty, literate, and accessible tour of the world of mathematics. The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Robert and Ellen Kaplan guide us through the "Republic of Numbers,†? where we meet both its upstanding citizens and its more shadowy dwellers; and transport us across the plane of geometry into the unlikely realm where parallel lines meet. The journey is enriched by deft character studies of great mathematicians (and equally colorful lesser ones). And as we go deeper into infinity, we explore the most profound mystery of mathematics: Are its principles eternal truths that we discover? Or ones that we invent?

Stars On The Earth

Author: Richard Leviton
Publisher: iUniverse
ISBN: 0595851452
Size: 61.67 MB
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Discover the wonderful secret the Earth holds for us-that the stars of the galaxy live on our planet. Holograms of high-magnitude stars over holy mountains. Physical travel to other planets through stargates on the Earth's surface. Near instantaneous transportation across the planet through quick-way portals. Outrageous science fiction or sober geomantic fact? Earth Mysteries researcher Richard Leviton takes you on a wild tour of three geomantic features of our planet and reveals that what science fiction has dreamed the Earth in fact offers us. Stars on the Earth combines scholarship, clairvoyance, and field experience with the latest discoveries of geology and astrophysics and the timeless insights of the world's myths to open the planetary door to the stars. It's all part of the Earth's unsuspected but staggeringly rich endowment as a designer planet. Our planet was precisely designed and implemented for us, and it's equipped with a visionary geography that mirrors features of the galaxy and Heavens. Why are so many of the Earth's mountains said to be holy, producing visions and encounters with the "gods?" They all have canopies of light called domes, each transmitting the presence of a galactic star. What is the geomantic origin of the Bermuda Triangle? Two dysfunctional stargates. If working properly, they and the Earth's other two million stargates could transport us rapidly to other planets. Is there a way to travel quickly across the planet without using cars, airplanes, boats, or trains? Yes, and it's called a traversable wormhole, and the Earth has thousands of them awaiting our discovery and use. Come join the tour of a planet you've never seen before: our own star-infused Earth.

Out Of The Labyrinth

Author: Robert Kaplan
Publisher: Oxford University Press, USA
ISBN: 0195147448
Size: 18.57 MB
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The founders of The Math Circle, the popular learning program begun at Harvard in 1994, reveal the secrets behind their highly successful approach that will allow students, parents, teachers, and others to wrestle with the accessible mysteries of math--and discover their inner math genius.

Euclid In The Rainforest

Author: Joseph Mazur
Publisher: Penguin Group USA
ISBN: 9780452287839
Size: 22.78 MB
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Like Douglas Hofstadter's Gödel, Escher, Bach, and David Berlinski's A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man's quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world. BACKCOVER: “This charming book radiates love of mathematics and of life . . . A treasure of human experience and intellectual excitement.” —Choice “Devoid of complex proofs and dense mathematical language; instead, the author has drawn upon his experience as a formative teacher to create a book rich in content that connects with real-world experiences.” —Library Journal “Joseph Mazur brilliantly explores the symbiotic relationship between the physical and the mathematical worlds…A stylish and seductive book that convinces the mind even as it delights the soul.” —PEN American Center

Bozo Sapiens

Author: Ellen Kaplan
Publisher: Bloomsbury Press
ISBN: 9781596914001
Size: 26.27 MB
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A dazzling new work of popular science and psychology for readers who enjoyed Blink, Stumbling on Happiness, or The Black Swan. The New York Times called the Kaplans’ look at probability in everyday life, Chances Are..., “a dizzying, exhilarating ride.” Now they take readers on a new fun-house tour—exploring the burgeoning science of why humans make mistakes. Our species, it appears, is hardwired to get things wrong in myriad different ways. Why did recipients of a loan offer accept a higher rate of interest when a pretty woman’s face was printed on the flyer? Why did one poll on immigration find the most despised aliens were ones from a group that did not exist? What made four of the air force’s best pilots fly their planes, in formation, straight into the ground? Why does giving someone power make him more likely to chew with his mouth open and pick his nose? And why is your sister going out with that biker dude? In fact, our cognitive, logical, and romantic failures may be a fair price for our extraordinary success as a species—they are the necessary cost of our adaptability. Michael and Ellen Kaplan swoop effortlessly across neurochemistry, behavioral economics, and evolutionary biology, among other disciplines, to answer, with both clarity and wit, the questions above—and larger ones about what it means to be human.

Author: Απόστολος Κ Δοξιάδης
ISBN: 9789600329919
Size: 73.55 MB
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Interpretive Reasoning

Author: Laurent Stern
Publisher: Cornell University Press
ISBN: 9780801443305
Size: 71.65 MB
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Laurent Stern here provides a concise account of the difficulties that arise within the interpretive process and in the context of interpretive conflict. Speakers and agents are expected by others to be occasionally insincere. Attempting to be tolerant of alternative interpretations, and dealing with the insincerity of others, often motivates interpreters themselves to become insincere. Accordingly, moral issues emerge for both speakers and interpreters. Interpretive Reasoning discusses such issues in the literature on interpretation.Stern offers a carefully argued account of the very idea of interpretation. What are the constraints on interpretations? What are our grounds for demanding that others agree with our interpretations? How do we support our interpretations? What are the types of interpretations we encounter? How are problems of first-person authority and self-knowledge connected with interpreting? While the author argues for interpretations supported by principles rather than by the consensus of interpreters, he also shows that even well-supported interpretations may be mistaken, and that some interpretive conflicts are interminable. Although this is a book in philosophy, scholars and students in the humanities, the social sciences, and disciplines concerned with interpretive reasoning can read it profitably.