Zenos Paradoxes

Author : Joseph Mazur
Publisher : Penguin
ISBN 13 : 9780525949923
Total Pages : 278 pages
Book Rating : 4.25/5 ( download)

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Download or read book The Motion Paradox written by Joseph Mazur and published by Penguin. This book was released on 2007 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the epic history of Greek philosopher Zeno's yet-unsolved paradox of motion, citing the contributions of top minds to the scientific community's understanding of the elusive basic structure of time and space.

Author : Wesley C. Salmon
Publisher : Hackett Publishing
ISBN 13 : 9780872205604
Total Pages : 336 pages
Book Rating : 4.06/5 ( download)

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Download or read book Zeno's Paradoxes written by Wesley C. Salmon and published by Hackett Publishing. This book was released on 2001-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reprint of the Bobbs-Merrill edition of 1970. These essays lead the reader through the land of the wonderful shrinking genie to the warehouse where the infinity machines are kept. By careful examination of a lamp that is switched on and off infinitely many times, or the workings of a machine that prints out an infinite decimal expansion of pi, we begin to understand how it is possible for Achilles to overtake the tortoise. The concepts that form the basis of modern science---space, time, motion, change, infinity---are examined and explored in this edition. Includes an updated bibliography.

Author : Joseph Mazur
Publisher : Penguin
ISBN 13 : 9780452289178
Total Pages : 276 pages
Book Rating : 4.73/5 ( download)

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Download or read book Zeno's Paradox written by Joseph Mazur and published by Penguin. This book was released on 2008-03-25 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fascinating story of an ancient riddle and what it reveals about the nature of time and space Three millennia ago, the Greek philosopher Zeno constructed a series of logical paradoxes to prove that motion is impossible. Today, these paradoxes remain on the cutting edge of our investigations into the fabric of space and time. Zeno's Paradox uses the motion paradox as a jumping-off point for an exploration of the twenty-five-hundred-year quest to uncover the true nature of the universe. From Galileo to Einstein to Stephen Hawking, some of the greatest minds in history have tackled the problem and made spectacular breakthroughs, but through it all, the paradox of motion remains.

Author : Barbara M. Sattler
Publisher : Cambridge University Press
ISBN 13 : 1108802621
Total Pages : 830 pages
Book Rating : 4.28/5 ( download)

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Download or read book The Concept of Motion in Ancient Greek Thought written by Barbara M. Sattler and published by Cambridge University Press. This book was released on 2020-10-08 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the birth of the scientific understanding of motion. It investigates which logical tools and methodological principles had to be in place to give a consistent account of motion, and which mathematical notions were introduced to gain control over conceptual problems of motion. It shows how the idea of motion raised two fundamental problems in the 5th and 4th century BCE: bringing together being and non-being, and bringing together time and space. The first problem leads to the exclusion of motion from the realm of rational investigation in Parmenides, the second to Zeno's paradoxes of motion. Methodological and logical developments reacting to these puzzles are shown to be present implicitly in the atomists, and explicitly in Plato who also employs mathematical structures to make motion intelligible. With Aristotle we finally see the first outline of the fundamental framework with which we conceptualise motion today.

Author : Lewis Carroll
Publisher : Lindhardt og Ringhof
ISBN 13 : 8726645726
Total Pages : 9 pages
Book Rating : 4.29/5 ( download)

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Download or read book What the Tortoise Said to Achilles written by Lewis Carroll and published by Lindhardt og Ringhof. This book was released on 2021-09-06 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: When a tortoise challenges a great Greek hero to use his logic in order to decipher a simple philosophical argument, slight chaos ensues. ‘What the Tortoise Said to Achilles’ is an endless cycle of suppositions and deductions. A refined piece of philosophical writing, Caroll’s discussion was one of the first steps towards paradoxically explaining logical truth. His clever prose makes this novel an essential read for budding philosophers and logic aficionados. Lewis Caroll (1832-1898) was a British author. He was famed for his novel ‘Alice in Wonderland' and its sequel ‘Through the Looking-Glass’. Both of which have been successfully adapted to film and stage. Aside from this, he was also a mathematician, professional photographer, and clergyman. His colorful plotlines, powerful imagery, and endless imagination earned him the title of one of the most notable authors of the nineteenth century. Among his other notable works are the poetic collection "Phantasmagoria and Other Poems", the poem "The Hunting of the Snark", and the fairy novel "Sylvie and Bruno".

Author : Samuel Scolnicov
Publisher : Univ of California Press
ISBN 13 : 0520925114
Total Pages : 207 pages
Book Rating : 4.13/5 ( download)

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Download or read book Plato's Parmenides written by Samuel Scolnicov and published by Univ of California Press. This book was released on 2003-07-08 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of all Plato’s dialogues, the Parmenides is notoriously the most difficult to interpret. Scholars of all periods have disagreed about its aims and subject matter. The interpretations have ranged from reading the dialogue as an introduction to the whole of Platonic metaphysics to seeing it as a collection of sophisticated tricks, or even as an elaborate joke. This work presents an illuminating new translation of the dialogue together with an extensive introduction and running commentary, giving a unified explanation of the Parmenides and integrating it firmly within the context of Plato's metaphysics and methodology. Scolnicov shows that in the Parmenides Plato addresses the most serious challenge to his own philosophy: the monism of Parmenides and the Eleatics. In addition to providing a serious rebuttal to Parmenides, Plato here re-formulates his own theory of forms and participation, arguments that are central to the whole of Platonic thought, and provides these concepts with a rigorous logical and philosophical foundation. In Scolnicov's analysis, the Parmenides emerges as an extension of ideas from Plato's middle dialogues and as an opening to the later dialogues. Scolnicov’s analysis is crisp and lucid, offering a persuasive approach to a complicated dialogue. This translation follows the Greek closely, and the commentary affords the Greekless reader a clear understanding of how Scolnicov’s interpretation emerges from the text. This volume will provide a valuable introduction and framework for understanding a dialogue that continues to generate lively discussion today.

Author : David Darling
Publisher : Turner Publishing Company
ISBN 13 : 0470307889
Total Pages : 692 pages
Book Rating : 4.85/5 ( download)

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Download or read book The Universal Book of Mathematics written by David Darling and published by Turner Publishing Company. This book was released on 2008-04-21 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for David Darling The Universal Book of Astronomy "A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended." -Library Journal "A comprehensive survey and . . . a rare treat." -Focus The Complete Book of Spaceflight "Darling's content and presentation will have any reader moving from entry to entry." -The Observatory magazine Life Everywhere "This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable." -Science Books & Films "An enthralling introduction to the new science of astrobiology." -Lynn Margulis Equations of Eternity "One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently." -The New York Times Deep Time "A wonderful book. The perfect overview of the universe." -Larry Niven

Author : R. M. Sainsbury
Publisher : Cambridge University Press
ISBN 13 : 0521896320
Total Pages : 191 pages
Book Rating : 4.20/5 ( download)

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Download or read book Paradoxes written by R. M. Sainsbury and published by Cambridge University Press. This book was released on 2009-02-19 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: A paradox can be defined as an unacceptable conclusion derived by apparently acceptable reasoning from apparently acceptable premises. Many paradoxes raise serious philosophical problems, and they are associated with crises of thought and revolutionary advances. The expanded and revised third edition of this intriguing book considers a range of knotty paradoxes including Zeno's paradoxical claim that the runner can never overtake the tortoise, a new chapter on paradoxes about morals, paradoxes about belief, and hardest of all, paradoxes about truth. The discussion uses a minimum of technicality but also grapples with complicated and difficult considerations, and is accompanied by helpful questions designed to engage the reader with the arguments. The result is not only an explanation of paradoxes but also an excellent introduction to philosophical thinking.

Author : Michael Clark
Publisher : Psychology Press
ISBN 13 : 9780415228084
Total Pages : 234 pages
Book Rating : 4.85/5 ( download)

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Download or read book Paradoxes from A to Z written by Michael Clark and published by Psychology Press. This book was released on 2002 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This sentence is false'. Is it? If a hotel with an infinite number of rooms is fully occupied, can it still accommodate a new guest? How can we have emotional responses to fiction, when we know that the objects of our emotions do not exist?

Author : Matt Cook
Publisher : MIT Press
ISBN 13 : 0262542293
Total Pages : 369 pages
Book Rating : 4.96/5 ( download)

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Download or read book Sleight of Mind written by Matt Cook and published by MIT Press. This book was released on 2021-08-03 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This “fun, brain-twisting book . . . will make you think” as it explores more than 75 paradoxes in mathematics, philosophy, physics, and the social sciences (Sean Carroll, New York Times–bestselling author of Something Deeply Hidden). Paradox is a sophisticated kind of magic trick. A magician’s purpose is to create the appearance of impossibility, to pull a rabbit from an empty hat. Yet paradox doesn’t require tangibles, like rabbits or hats. Paradox works in the abstract, with words and concepts and symbols, to create the illusion of contradiction. There are no contradictions in reality, but there can appear to be. In Sleight of Mind, Matt Cook and a few collaborators dive deeply into more than 75 paradoxes in mathematics, physics, philosophy, and the social sciences. As each paradox is discussed and resolved, Cook helps readers discover the meaning of knowledge and the proper formation of concepts—and how reason can dispel the illusion of contradiction. The journey begins with “a most ingenious paradox” from Gilbert and Sullivan’s Pirates of Penzance. Readers will then travel from Ancient Greece to cutting-edge laboratories, encounter infinity and its different sizes, and discover mathematical impossibilities inherent in elections. They will tackle conundrums in probability, induction, geometry, and game theory; perform “supertasks”; build apparent perpetual motion machines; meet twins living in different millennia; explore the strange quantum world—and much more.