Who is right on the debate of paradox?

Discussion in 'Physics & Math' started by Muslim, Jan 12, 2010.

  1. Muslim Immortal Valued Senior Member

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  3. AlphaNumeric Fully ionized Registered Senior Member

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    It is a matter of measure.

    The interval's length is divided as \(\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \ldots = \sum_{n}\frac{1}{2^{n}}\). Each part is worth half as much as the previous one and thus the sum converges.

    Zeno is counting the number of intervals, ignoring that they are half the length of one another. It's the basis of convergent series, you can add infinitely many things together and still get a finite answer.
     
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  5. D H Some other guy Valued Senior Member

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    Why wade through 800+ comments when the resolution of Zeno's Arrow Paradox is well-explained (e.g., post #2) by mathematicians and physicists?
     
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  7. Muslim Immortal Valued Senior Member

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    post#2 where?
     
  8. D H Some other guy Valued Senior Member

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    Post #2 in this thread.
     

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