Editorial Reviews. Review. “A neat and compelling historical survey of science's oldest and like bookmarks, note taking and highlighting while reading Zeno's Paradox: Unraveling the Ancient Mystery Behind the Science of Space and Time.
Table of contents
The second part explores pre-calculus Renaissance and how the nature of physical reality and motion starts to be explored more rigorously with Galileo and Kepler. The third section describes the evolution of the math. Analytic geometry is discussed and the stage is set for Newton and Leibniz and the world enters the Enlightenment.
The third section goes back to discussing physics and in particular modern theories of physics as well as classical relativity. The motivation to use Zeno's paradox is, despite it being a mathematical problem, it implicitly asks what is the nature of space and time. How divisible is time, how divisible is space. Is the topology of space the same as the real line, which is the mathematical structure for which the answer to zeno's paradox was answered on? The book is a nice history lesson, as a philosophical enquiry i think its quite weak though.
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There is no answer's to zeno's paradox in an objective sense, if you assume that zeno's paradox is well posed because you can infinitely divide space and time then calculus gives the resolution. I enjoyed parts of the book as it is readable and easy to follow and brings up the history of thought on some of math and science's most important ideas. I dont think this is particular thought provoking with respect to Zeno's paradox and its relevance today though. I purchased this product some time ago, but didn't feel up to the task of reviewing it.
Who heeds bad revs? It's a bad or rather, unworthy of its theme , bad book all right. For example, the stadium paradox is covered at least thrice: The other paradoxes especially the arrow are also analized several times. For example, in page , Mazur writes "The arrow paradox also requires an understanding of limits as a mathematical model for instantaneous velocity, which calculus treats as a derivative, an instrument that creates limits of average changes in a dependent variety in small intervals on an independent variable.
The model here is to view each point on the arrow's trajectory as though it were a limit of a sequence of rational numbers on the number line, so the arrow's path is assured a persistent even flow of space in the continuity of time. In effect it assumes, quite correctly, that all numbers on the number line are convergent sequences of rational numbers". Half a page in the book's oversize font completely wasted. And don't you think that a reader who understands what "convergent sequences of rational numbers" means would also know what is a real number?
Now hear this p.
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Mazur, methought Cerenkov radiation was discovered much later. What Planck what would have happened had he had only three names? Bear in mind that each of these examples could be multiplied almost indefinitely. On the other hand, nothing on supertasks, or the legitimacy of conflating the geometrical and the real number continua, or the conceptual resemblance between Zeno's paradoxes and Kant's antinomies, and the question these place on the possibility of a represtation-based understanding of Nature; Do you think I'm unfair?
- Unraveling the Ancient Mystery Behind the Science of Space and Time.
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But Mazur strikes me as intellectually dishonest in the same sense as Lacan when he equated, before an innocent crowd of bewildered and awed disciples, the phallus with i, the unity of imaginary numbers. Candles and torch sconces provided moderate light in the windowless room. An intoxicating smell of fermenting spirits seeped from a whiskey and brandy distillery next door.
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Beer was cheap", and that they "would often sit together at a long sticky oak table coated with layers of sugars dried from decades of beer spills" pp. In any other case, avoid this travesty. I think this is enough to illustrate the fundamental challenges of the remaining paradoxes and the deep problem that remains with us.
The conflicting information is found in two seemingly incontrovertible separate datum, both of which cannot be true. The first datum, to be found in the empirical observation, is that Achilles, the fleet-footed hero of the Trojan War, will of course pass the lowly tortoise, generous head start notwithstanding. The second datum is found through reason. A precursor of the rationalism versus empiricism debate to come many centuries later. The question posed by reason is, what must Achilles do to catch-up with the tortoise?
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Zeno tells us that he must cross an infinite number of points. Zeno explains that there is an infinite number of points contained within a finite space by asking us to continuously divide the given space by half. We can keep dividing, well, forever. Each resulting interval of space gets small by half, ad infinitum.
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From Galileo to Einstein to Stephen Hawking, some of the greatest minds in history have tackled the problem and made spectacular breakthroughs? Log-in or create an account first! Ships with Tracking Number! Buy with confidence, excellent customer service! May not contain Access Codes or Supplements. Cloud 9 Books Condition: Orders ship the same or next business day.
Zeno’s Paradox
Mail us if you have any questions. Russell Books Ltd Condition: Mega Buzz Inc Condition: The Saint Bookstore Condition: Russell Books Ltd Published: Powell's Bookstores Chicago Condition: Shows some signs of wear, and may have some markings on the inside. Better World Books Condition: Used - Very Good.
Good shape with typical wear. Pages are unmarked and sharp.