It's not a paradox. It presupposes that the amount of time it takes to reach any particular point is fixed. If the distance to the original turtle point is D, and the time to reach D is T, the turtle has, at best, advanced D/C C>1 (since the turtle is slower). Once D is reached, and the turtle advances, the time to reach D+ D/C is T/C; less than the time to reach D. Since the turtle is slower, C remains > 1, meaning that the Time to reach the turtle approaches 0 until POOF.. we have the intuitive result: the runner overtakes the turtle. There are no paradoxes, only sloppy thinking. - Bo ----- Original Message ----- From: Martijn van Buul <pino@dohd.cx> To: <cbm-hackers@dot.tcm.hut.fi> Sent: Wednesday, August 18, 1999 8:46 AM Subject: Re: nicknames (Re: posting cables) > Howard Herman wrote: > > > > As to the hard cased animal in the fairy tale, I believe that refers to > > the tortoise who had a race with the hare, and ultimately won because of > > his persistence. > > Wasn't it a semi-paradox stated by Aristoteles? It was about a race between a > turtle and an athlete, with the turtle having a headstart. Aristoteles claimed > that the athlete could never overtake the turtle, because, during the time > the athlete needed to get to the original location of the turtle, the > turtle had advanced a bit etc. etc. > > I'm not sure about Aristoteles, nor the athelete btw ;) > > -- > Martijn van Buul - Pino@dohd.cx - http://www.stack.nl/~martijnb/ > Visit OuterSpace: mud.stack.nl 3333 > - > This message was sent through the cbm-hackers mailing list. > To unsubscribe: echo unsubscribe | mail cbm-hackers-request@dot.tcm.hut.fi. - This message was sent through the cbm-hackers mailing list. To unsubscribe: echo unsubscribe | mail cbm-hackers-request@dot.tcm.hut.fi.
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