Guest Posted August 17, 2009 Report Share Posted August 17, 2009 imagine i removed the middle third between 0 and 1. then i removed the middle thirds from the two remaining thirds, and so on indefinitely. how long would the new number line between 0 and 1 be? would you believe it would be precisely 1? http://en.wikipedia.org/wiki/Cantor_set Quote Link to comment Share on other sites More sharing options...
0 Guest Posted August 17, 2009 Report Share Posted August 17, 2009 to be accurate, the number line length itself would be 0, but the number of points remaining would be equal the the original total of points on the number line. Quote Link to comment Share on other sites More sharing options...
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imagine i removed the middle third between 0 and 1. then i removed the middle thirds from the two remaining thirds, and so on indefinitely. how long would the new number line between 0 and 1 be? would you believe it would be precisely 1?
http://en.wikipedia.org/wiki/Cantor_set
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