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Zeno's classic paradox, from the Platonic Realms Interactive Math Encyclopedia. ... Zeno's Paradox may be rephrased as follows. Suppose I wish to cross the room. First, of course, I must cover half the distance. Then, I must cover half the remaining distance. Then, I must cover half the remaining distance.
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www.mathacademy.com/pr/prime/articles/zeno_tort/index.a...
www.mathacademy.com/pr/prime/articles/zeno_tort/index.asp
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Zeno's first paradox attacks the notion held by many philosophers of his day that space was infinitely divisible, and that motion was therefore continuous. ... Paradox 1: The Motionless Runner...
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mathforum.org/isaac/problems/zeno1.html
mathforum.org/isaac/problems/zeno1.html
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Discusses the paradoxes of Zeno of Elea, e.g., Achilles and the Tortoise; by Nick Hugget ... Before we look at the paradoxes themselves it will be useful to sketch some of their historical and logical significance. First, Zeno sought to defend Parmenides by attacking his critics. ... 4.1 The Paradox of Place...
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plato.stanford.edu/entries/paradox-zeno/
plato.stanford.edu/entries/paradox-zeno/
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There is no paradox here. Zeno was just showing (pretending?) some ignorance of the nature of time. A time interval is just another line segment (when you graph it), that you can divide up in any way you want...
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www.jimloy.com/physics/zeno.htm
www.jimloy.com/physics/zeno.htm
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3.7 Zeno and the Paradox of Motion ... Regarding these first two arguments, there's a tradition among some high school calculus teachers to present them as "Zeno's Paradox", and then "resolve the paradox" by pointing out that an infinite series can have a finite sum.
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www.mathpages.com/rr/s3-07/3-07.htm
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Plus Online Maths Magazine: Regular Item ... So, here is where the real paradox of Zeno lies. In his arguments, he manages to show that the universe can neither be continuous (infinitely divisible) nor discrete (discontinuous, that is made up of finite,indivisible parts).
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plus.maths.org/issue17/xfile/index.html
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No. 5 Zeno's Paradox ... The four Paradoxes of Zeno, which attempt to show that motion is impossible, are most conveniently treated as two pairs of paradoxes. The reasons for this will hopefully become clearer later. The first two paradoxes are as follows. ... Click here to comment on Zeno's Paradox...
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www.philosophers.co.uk/cafe/paradox5.htm
www.philosophers.co.uk/cafe/paradox5.htm
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Zeno’s Paradox of the Arrow ... Although the argument does not succeed in showing that motion is impossible, it does raise a special difficulty for proponents of an atomic conception of space. For an application of the Arrow Paradox to atomism, click here.
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faculty.washington.edu/smcohen/320/ZenoArrow.html
faculty.washington.edu/smcohen/320/ZenoArrow.html
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Zeno's Paradox Main; Comments? Email me!; My other site ... Looking for Ancient Greek Philosophy or Mathematics?; Zeno's Paradox; Zeno and the Paradox of Motion; (Current color scheme is from Aguilar's "Equilibrium".)
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