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July 22, 2004

Halving

Robert over at Xset has reminded me of something we were discussing at the pub the other night. It was : If you continued to half something would it just keep getting smaller and smaller and smaller or would it at some point just not exist? You can see the rant over at his site entitled "By way of proving a point".

You can put it in a different context too.
For example. A runner was going to run a mile, then ½ a mile, then ¼ of a mile etc etc. Would his run ever stop?
My theory is no it wouldn't. Even though at some stage the distance would get so small that they would just become points. But an infinite amount of points. So therefore would take an infinate time to run. Thus never ending.
Any suggestions?


Posted by Markiss at July 22, 2004 1:38 PM

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