Zenos Paradoxes

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The Motion Paradox

Author : Joseph Mazur
Publisher : Penguin
ISBN 13 : 1440649650
Total Pages : 270 pages
Book Rating : 4.4/5 (46 download)

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Book Synopsis The Motion Paradox by : Joseph Mazur

Download or read book The Motion Paradox written by Joseph Mazur and published by Penguin. This book was released on 2007-04-19 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The epic tale of an ancient, unsolved puzzle and how it relates to all scientific attempts to explain the basic structure of the universe At the dawn of science the ancient Greek philosopher Zeno formulated his paradox of motion, and amazingly, it is still on the cutting edge of all investigations into the fabric of reality. Zeno used logic to argue that motion is impossible, and at the heart of his maddening puzzle is the nature of space and time. Is space-time continuous or broken up like a string of beads? Over the past two millennia, many of our greatest minds—including Aristotle, Galileo, Newton, Einstein, Stephen Hawking, and other current theoreticians—have been gripped by the mystery this puzzle represents. Joseph Mazur, acclaimed author of Euclid in the Rainforest, shows how historic breakthroughs in our understanding of motion shed light on Zeno’s paradox. The orbits of the planets were explained, the laws of motion were revealed, the theory of relativity was discovered—but the basic structure of time and space remained elusive. In the tradition of Fermat’s Enigma and Zero, The Motion Paradox is a lively history of this apparently simple puzzle whose solution—if indeed it can be solved—will reveal nothing less than the fundamental nature of reality.

Zeno's Paradoxes

Author : Wesley C. Salmon
Publisher : Hackett Publishing
ISBN 13 : 9780872205604
Total Pages : 336 pages
Book Rating : 4.2/5 (56 download)

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Book Synopsis Zeno's Paradoxes by : Wesley C. Salmon

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.

The Concept of Motion in Ancient Greek Thought

Author : Barbara M. Sattler
Publisher : Cambridge University Press
ISBN 13 : 1108802621
Total Pages : 830 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis The Concept of Motion in Ancient Greek Thought by : Barbara M. Sattler

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.

Plato's Parmenides

Author : Samuel Scolnicov
Publisher : Univ of California Press
ISBN 13 : 0520925114
Total Pages : 207 pages
Book Rating : 4.5/5 (29 download)

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Book Synopsis Plato's Parmenides by : Samuel Scolnicov

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.

What the Tortoise Said to Achilles

Author : Lewis Carroll
Publisher : Lindhardt og Ringhof
ISBN 13 : 8726645726
Total Pages : 9 pages
Book Rating : 4.7/5 (266 download)

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Book Synopsis What the Tortoise Said to Achilles by : Lewis Carroll

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".

Paradoxes

Author : R. M. Sainsbury
Publisher : Cambridge University Press
ISBN 13 : 0521896320
Total Pages : 191 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Paradoxes by : R. M. Sainsbury

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.

The Universal Book of Mathematics

Author : David Darling
Publisher : Turner Publishing Company
ISBN 13 : 0470307889
Total Pages : 692 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis The Universal Book of Mathematics by : David Darling

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

Zeno's Paradox

Author : Joseph Mazur
Publisher : Penguin
ISBN 13 : 9780452289178
Total Pages : 276 pages
Book Rating : 4.2/5 (891 download)

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Book Synopsis Zeno's Paradox by : Joseph Mazur

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.

Paradox

Author : Margaret Cuonzo
Publisher : MIT Press
ISBN 13 : 0262525496
Total Pages : 240 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Paradox by : Margaret Cuonzo

Download or read book Paradox written by Margaret Cuonzo and published by MIT Press. This book was released on 2014-02-14 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to paradoxes showing that they are more than mere puzzles but can prompt new ways of thinking. Thinkers have been fascinated by paradox since long before Aristotle grappled with Zeno's. In this volume in The MIT Press Essential Knowledge series, Margaret Cuonzo explores paradoxes and the strategies used to solve them. She finds that paradoxes are more than mere puzzles but can prompt new ways of thinking. A paradox can be defined as a set of mutually inconsistent claims, each of which seems true. Paradoxes emerge not just in salons and ivory towers but in everyday life. (An Internet search for “paradox” brings forth a picture of an ashtray with a “no smoking” symbol inscribed on it.) Proposing solutions, Cuonzo writes, is a natural response to paradoxes. She invites us to rethink paradoxes by focusing on strategies for solving them, arguing that there is much to be learned from this, regardless of whether any of the more powerful paradoxes is even capable of solution. Cuonzo offers a catalog of paradox-solving strategies—including the Preemptive-Strike (questioning the paradox itself), the Odd-Guy-Out (calling one of the assumptions into question), and the You-Can't-Get-There-from-Here (denying the validity of the reasoning). She argues that certain types of solutions work better in some contexts than others, and that as paradoxicality increases, the success of certain strategies grows more unlikely. Cuonzo shows that the processes of paradox generation and solution proposal are interesting and important ones. Discovering a paradox leads to advances in knowledge: new science often stems from attempts to solve paradoxes, and the concepts used in the new sciences lead to new paradoxes. As Niels Bohr wrote, “How wonderful that we have met with a paradox. Now we have some hope of making progress.”

Paradoxes from A to Z

Author : Michael Clark
Publisher : Psychology Press
ISBN 13 : 9780415228084
Total Pages : 234 pages
Book Rating : 4.2/5 (28 download)

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Book Synopsis Paradoxes from A to Z by : Michael Clark

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?

Sleight of Mind

Author : Matt Cook
Publisher : MIT Press
ISBN 13 : 0262542293
Total Pages : 369 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Sleight of Mind by : Matt Cook

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.

The Cambridge Companion to Early Greek Philosophy

Author : A. A. Long
Publisher : Cambridge University Press
ISBN 13 : 9780521446679
Total Pages : 464 pages
Book Rating : 4.4/5 (466 download)

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Book Synopsis The Cambridge Companion to Early Greek Philosophy by : A. A. Long

Download or read book The Cambridge Companion to Early Greek Philosophy written by A. A. Long and published by Cambridge University Press. This book was released on 1999-06-28 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 1999 Companion to Greek philosophy, invaluable for new readers, and for specialists.

The Three Paradoxes

Author : Paul Hornschemeier
Publisher : Fantagraphics Books
ISBN 13 : 1560976535
Total Pages : 81 pages
Book Rating : 4.5/5 (69 download)

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Book Synopsis The Three Paradoxes by : Paul Hornschemeier

Download or read book The Three Paradoxes written by Paul Hornschemeier and published by Fantagraphics Books. This book was released on 2007-07-02 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Three Paradoxes is an intricate and complex autobiographical comic by one of the most talented and innovative young cartoonists today. The story begins with a story inside the story: the cartoon character Paul Hornschemeier is trying to finish a story called "Paul and the Magic Pencil." Paul has been granted a magical implement, a pencil, and is trying to figure out what exactly it can do. He isn't coming up with much, but then we zoom out of this story to the creator, Paul, whose father is about to go on a walk to turn off the lights in his law office in the center of the small town. Abandoning the comic strip temporarily, Paul leaves with his camera, in order to fulfill a promise to his girlfriend that he would take pictures of the places that affected him as a child. Each "chapter" of the story is drawn in a completely different style, with strikingly unique production and color themes, and yet, somehow, despite (or perhaps because of) this non-linear progression, it all comes together as one story: a story questioning change, progress, and worth within the author's life.

Riddles in Mathematics

Author : Eugene P Northrop
Publisher : Courier Corporation
ISBN 13 : 0486780163
Total Pages : 289 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Riddles in Mathematics by : Eugene P Northrop

Download or read book Riddles in Mathematics written by Eugene P Northrop and published by Courier Corporation. This book was released on 2014-08-20 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Math enthusiasts of all ages will delight in this collection of more than 200 riddles drawn from every mathematical discipline. Only an elementary background is needed to enjoy and solve the tremendous variety of puzzles, which include riddles based on geometry, trigonometry, algebra, infinity, probability, and logic. Includes complete solutions and 113 illustrations"--

A Brief Guide to Smart Thinking

Author : James M. Russell
Publisher : Robinson
ISBN 13 : 1472143671
Total Pages : 288 pages
Book Rating : 4.4/5 (721 download)

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Book Synopsis A Brief Guide to Smart Thinking by : James M. Russell

Download or read book A Brief Guide to Smart Thinking written by James M. Russell and published by Robinson. This book was released on 2020-04-02 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each book is summarised to convey a brief idea of what each one has to offer the interested reader, while a 'Speed Read' for each book delivers a quick sense of what each book is like to read and a highly compressed summary of the main points of the book in question. The titles covered include thought-provoking classics on psychology, mindfulness, rationality, the brain, mathematical and economic thought and practical philosophy. The selection includes books about self-improvement as well as historically interesting accounts of how the mind works. Titles included go back as far as the Epictetus classic TheEnchiridion and Bertrand Russell's charming TheABC of Relativity, and proceed through classics such as Edward de Bono's Lateral Thinking and into the digital era with titles such as The Shallows and Big Data. The books are arranged chronologically, which draws attention to some of the interesting juxtapositions and connections between them. Some of the titles included are: Freakonomics, by Steven D. Levitt; Blink: The Power of Thinking Without Thinking, by Malcolm Gladwell; Sapiens: A Brief History of Humankind, by Yuval Noah Harari; The Organized Mind: Thinking Straight in the Age of Information Overload, by Daniel J. Levitin; The Descent of Man, by Grayson Perry; How the Mind Works, by Steven Pinker; Black Box Thinking: Why Some People Never Learn from Their Mistakes - But Some Do, by Matthew Syed; We Should All Be Feminists, by Chimamanda Ngozi Adichie; Guns, Germs, and Steel: The Fates of Human Societies, by Jared Diamond; The Black Swan: The Impact of the Highly Improbable, by Nassim Nicholas Taleb; Man's Search for Meaning, by Viktor E. Frankl; The News: A User's Manual, by Alain de Botton; Mindware: Tools for Smart Thinking, by Richard E. Nisbett; The ABC of Relativity, by Bertrand Russell; The Psychopath Test, by Jon Ronson; The Path: What Chinese Philosophers Can Teach Us About the Good Life, by Michael Puett; A Brief History of Time, by Stephen Hawking; Messy: The Power of Disorder to Transform Our Lives, by Tim Harford; Big Data: A Revolution That Will Transform How We Live, Work, and Think, by Viktor Mayer-Schönberger; Moneyball: The Art of Winning an Unfair Game, by Michael Lewis; The Survivors Club: The Secrets and Science That Could Save Your Life, by Ben Sherwood; Black Box Thinking, by Matthew Syed; Chaos: Making a New Science, by James Gleick; A Short History of Nearly Everything, by Bill Bryson; The Shallows: What the Internet Is Doing to Our Brains, by Nicholas Carr; Making Ideas Happen: Overcoming the Obstacles Between Vision and Reality, by Scott Belsky; The Enchiridion, by Epictetus; Gödel, Escher, Bach, by Douglas R. Hofstadter; What I Talk About When I Talk About Running, by Haruki Murakami; and Lateral Thinking, by Edward de Bono.

A Brief History of the Paradox

Author : Roy Sorensen
Publisher : Oxford University Press
ISBN 13 : 0190289317
Total Pages : 416 pages
Book Rating : 4.1/5 (92 download)

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Book Synopsis A Brief History of the Paradox by : Roy Sorensen

Download or read book A Brief History of the Paradox written by Roy Sorensen and published by Oxford University Press. This book was released on 2003-12-04 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can God create a stone too heavy for him to lift? Can time have a beginning? Which came first, the chicken or the egg? Riddles, paradoxes, conundrums--for millennia the human mind has found such knotty logical problems both perplexing and irresistible. Now Roy Sorensen offers the first narrative history of paradoxes, a fascinating and eye-opening account that extends from the ancient Greeks, through the Middle Ages, the Enlightenment, and into the twentieth century. When Augustine asked what God was doing before He made the world, he was told: "Preparing hell for people who ask questions like that." A Brief History of the Paradox takes a close look at "questions like that" and the philosophers who have asked them, beginning with the folk riddles that inspired Anaximander to erect the first metaphysical system and ending with such thinkers as Lewis Carroll, Ludwig Wittgenstein, and W.V. Quine. Organized chronologically, the book is divided into twenty-four chapters, each of which pairs a philosopher with a major paradox, allowing for extended consideration and putting a human face on the strategies that have been taken toward these puzzles. Readers get to follow the minds of Zeno, Socrates, Aquinas, Ockham, Pascal, Kant, Hegel, and many other major philosophers deep inside the tangles of paradox, looking for, and sometimes finding, a way out. Filled with illuminating anecdotes and vividly written, A Brief History of the Paradox will appeal to anyone who finds trying to answer unanswerable questions a paradoxically pleasant endeavor.

Mathematical Fallacies and Paradoxes

Author : Bryan Bunch
Publisher : Courier Corporation
ISBN 13 : 0486137937
Total Pages : 240 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematical Fallacies and Paradoxes by : Bryan Bunch

Download or read book Mathematical Fallacies and Paradoxes written by Bryan Bunch and published by Courier Corporation. This book was released on 2012-10-16 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.