Monday, June 10, 2013

On your marks...

If a tortoise and a hare have a race, which would win?  The hare, right?  Well, maybe, but an ancient Greek philosopher called Zeno maintained that provided (a) the tortoise was given a start, and (b) the tortoise didn't stop, not only would the hare not be able to overtake it, it wouldn't even be able to catch up with it.  The argument goes as follows - the hare starts from scratch, the tortoise starts from some point further up the course - call it T.  The race starts.  Sooner or later the hare will reach point T, but by this time the tortoise will have moved on to another point - call it T1.  The race continues and sooner or later the hare reaches point T1 - but the tortoise will have moved on to another point - T2.  You get the idea - each time the hare gets to where the tortoise was, the tortoise will have moved further on.  So the hare can never catch up, let alone overtake.  Rubbish of course, but why?  Where's the flaw in the argument?  I'll give you a few days to think about it.

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