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The Racetrack (or Dichotomy)

One can never reach the end of a racecourse, for in order to do so one would first have to reach the halfway mark, then the halfway mark of the remaining half, then the halfway mark of the final fourth, then of the final eighth, and so on ad infinitum. Since this series of fractions is infinite, one can never hope to get through the entire length of the track (at least not in a finite time).

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Paradoxes and sophisms 309 JBM 03-Dec-07 07:18
Re: Paradoxes and sophisms 100 Avatar 03-Dec-07 08:30
Re: Paradoxes and sophisms 60 JBM 03-Dec-07 20:00
Re: Paradoxes and sophisms 90 Avatar 03-Dec-07 22:13
Re: Paradoxes and sophisms 82 JBM 04-Dec-07 04:37
Re: Paradoxes and sophisms 47 ananda 04-Dec-07 16:51
Re: Paradoxes and sophisms 156 Me 04-Dec-07 01:31
Re: Paradoxes and sophisms 96 JBM 04-Dec-07 06:36
Re: Paradoxes and sophisms 97 ananda 04-Dec-07 16:53
Re: Paradoxes and sophisms 93 Me 05-Dec-07 00:37
Re: Paradoxes and sophisms 68 ananda 04-Dec-07 16:49
Re: Paradoxes and sophisms 100 degiem1 05-Dec-07 01:10
Re: Paradoxes and sophisms 58 Nolondil 05-Dec-07 22:19
Re: Paradoxes and sophisms 125 degiem1 06-Dec-07 19:34


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