Book Description
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 : Joseph Mazur
Publisher : Penguin
Page : 278 pages
File Size : 21,86 MB
Release : 2007
Category : Science
ISBN : 9780525949923
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 : Joseph Mazur
Publisher : Penguin
Page : 276 pages
File Size : 15,28 MB
Release : 2008-03-25
Category : Science
ISBN : 9780452289178
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
Page : 437 pages
File Size : 50,76 MB
Release : 2021-10-31
Category : Philosophy
ISBN : 9781108745215
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 : Wesley C. Salmon
Publisher : Hackett Publishing
Page : 336 pages
File Size : 50,64 MB
Release : 2001-01-01
Category : Science
ISBN : 9780872205604
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 : Craig Callender
Publisher : Cambridge University Press
Page : 340 pages
File Size : 17,2 MB
Release : 2002-08-15
Category : Philosophy
ISBN : 9780521529679
Why does time seem to flow in one direction? Can we influence the past? Is only the present real? Does relativity conflict with our common understanding of time? Could science do away with time? These questions and others about time are among the most puzzling problems in philosophy and science. In this exciting collection of original articles, eminent philosophers propose novel answers to these and other questions. Based on the latest research in philosophy and physics, these essays will be enjoyable to anyone with a speculative turn of mind.
Author : Lewis Carroll
Publisher : Lindhardt og Ringhof
Page : 9 pages
File Size : 32,36 MB
Release : 2021-09-06
Category : Philosophy
ISBN : 8726645726
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 : Matt Cook
Publisher : MIT Press
Page : 369 pages
File Size : 23,77 MB
Release : 2021-08-03
Category : Mathematics
ISBN : 0262542293
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.
Author : Samuel Scolnicov
Publisher : Univ of California Press
Page : 207 pages
File Size : 36,33 MB
Release : 2003-07-08
Category : Philosophy
ISBN : 0520925114
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 : Roy T. Cook
Publisher : John Wiley & Sons
Page : 181 pages
File Size : 21,8 MB
Release : 2013-04-03
Category : Philosophy
ISBN : 0745665519
Paradoxes are arguments that lead from apparently true premises, via apparently uncontroversial reasoning, to a false or even contradictory conclusion. Paradoxes threaten our basic understanding of central concepts such as space, time, motion, infinity, truth, knowledge, and belief. In this volume Roy T Cook provides a sophisticated, yet accessible and entertaining, introduction to the study of paradoxes, one that includes a detailed examination of a wide variety of paradoxes. The book is organized around four important types of paradox: the semantic paradoxes involving truth, the set-theoretic paradoxes involving arbitrary collections of objects, the Soritical paradoxes involving vague concepts, and the epistemic paradoxes involving knowledge and belief. In each of these cases, Cook frames the discussion in terms of four different approaches one might take towards solving such paradoxes. Each chapter concludes with a number of exercises that illustrate the philosophical arguments and logical concepts involved in the paradoxes. Paradoxes is the ideal introduction to the topic and will be a valuable resource for scholars and students in a wide variety of disciplines who wish to understand the important role that paradoxes have played, and continue to play, in contemporary philosophy.
Author : Jim Al-Khalili
Publisher : Random House
Page : 306 pages
File Size : 10,44 MB
Release : 2013
Category : Games & Activities
ISBN : 0552778060
How can a cat be both dead and alive at the same time? Why will Achilles never beat a tortoise in a race, no matter how fast he runs? And how can a person be ten years older than their twin? Throughout history, scientists have been coming up with theories and ideas that just do not seem to make sense