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Book The Motion Paradox

    Book Details:
  • Author : Joseph Mazur
  • Publisher : Penguin
  • Release : 2007
  • ISBN : 9780525949923
  • Pages : 278 pages

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.

Book Zeno s Paradox

    Book Details:
  • Author : Joseph Mazur
  • Publisher : Penguin
  • Release : 2008-03-25
  • ISBN : 9780452289178
  • Pages : 276 pages

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.

Book Zeno s Paradoxes

    Book Details:
  • Author : Wesley C. Salmon
  • Publisher : Hackett Publishing
  • Release : 2001-01-01
  • ISBN : 9780872205604
  • Pages : 336 pages

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.

Book The Concept of Motion in Ancient Greek Thought

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.

Book Zeno s Paradox

    Book Details:
  • Author : Joseph Mazur
  • Publisher : Penguin
  • Release : 2008-03-25
  • ISBN : 1440639639
  • Pages : 276 pages

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.

Book What the Tortoise Said to Achilles

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".

Book The Universal Book of Mathematics

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

Book Plato s Parmenides

    Book Details:
  • Author : Samuel Scolnicov
  • Publisher : Univ of California Press
  • Release : 2003-07-08
  • ISBN : 0520925114
  • Pages : 207 pages

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.

Book Zeno s Paradox

    Book Details:
  • Author : Joseph Mazur
  • Publisher : Penguin
  • Release : 2008-03-25
  • ISBN : 9780452289178
  • Pages : 276 pages

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.

Book Key Contemporary Concepts

Download or read book Key Contemporary Concepts written by John Lechte and published by SAGE. This book was released on 2003-02-24 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Companion volume to Lechte's best-selling 50 Key Contemporary Thinkers. Guides readers in understanding society and culture in the twenty-first century. Encyclopedic format covers such topics as cybernetics, quantum theory, ideology, and aesthetics.

Book Paradoxes

    Book Details:
  • Author : R. M. Sainsbury
  • Publisher : Cambridge University Press
  • Release : 2009-02-19
  • ISBN : 0521896320
  • Pages : 191 pages

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.

Book Paradox

    Book Details:
  • Author : Margaret Cuonzo
  • Publisher : MIT Press
  • Release : 2014-02-14
  • ISBN : 0262525496
  • Pages : 240 pages

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.”

Book Certain Philosophical Questions

Download or read book Certain Philosophical Questions written by J. E. McGuire and published by Cambridge University Press. This book was released on 2003-02-13 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isaac Newton wrote the manuscript Questiones quaedam philosophicae at the very beginning of his scientific career. This small notebook thus affords rare insight into the beginnings of Newton's thought and the foundations of his subsequent intellectual development. The Questiones contains a series of entries in Newton's hand that range over many topics in science, philosophy, psychology, theology, and the foundations of mathematics. These notes, written in English, provide a very detailed picture of Newton's early interests, and record his critical appraisal of contemporary issues in natural philosophy. Written predominantly in 1664-5, they give a significant perspective on Newton's thought just prior to his annus mirabilis, 1666. This volume provides a complete transcription of the Questiones, together with an 'expansion' into modern English, and a full editorial commentary on the content and significance of the notebook in the development of Newton's thought. It will be essential reading for all those interested in Newton and the intellectual foundations of science.

Book Paradoxes from A to Z

    Book Details:
  • Author : Michael Clark
  • Publisher : Psychology Press
  • Release : 2002
  • ISBN : 9780415228084
  • Pages : 234 pages

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?

Book Arriving at Amen

    Book Details:
  • Author : Leah Libresco
  • Publisher : Ave Maria Press
  • Release : 2015-05-05
  • ISBN : 1594715882
  • Pages : 192 pages

Download or read book Arriving at Amen written by Leah Libresco and published by Ave Maria Press. This book was released on 2015-05-05 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2012, media outlets from CNN to EWTN announced that Leah Libresco, a gifted young intellectual, columnist, and prolific blogger on the Atheist channel on Patheos, was converting to Catholicism. In Arriving at Amen, Libresco uses the rigorous rationality that defined her Atheism to tell the story behind that very personal journey and to describe the seven forms of Catholic prayer that guided her to embrace a joyful life of faith. As a Yale graduate, Libresco launched her writing career by blogging about science, literature, mathematics, and morality from a distinctively secular perspective. Over time, encounters with friends and associates caused her to concede the reasonableness of belief in God in theory, though not yet in practice. In Arriving at Amen, Libresco uniquely describes the second part of her spiritual journey, in which she encountered God through seven classic Catholic forms of prayer—Liturgy of the Hours, lectio divina, examen, intercessory prayer, the Rosary, confession, and the Mass. Examining each practice through the intellectual lens of literature, math, and art, Libresco reveals unexpected glimpses of beauty and truth in the Catholic Church that will be appreciated by the curious and convinced alike.

Book Sleight of Mind

    Book Details:
  • Author : Matt Cook
  • Publisher : MIT Press
  • Release : 2021-08-03
  • ISBN : 0262542293
  • Pages : 369 pages

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.

Book The Three Paradoxes

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.