infinity1<>infinity2?

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Reply Sat 2 Apr, 2011 12:42 pm
here's something I've thought of. take a line segment. cut it somewhere not in the center. is one side larger? now divide each segment in half infinite times. both have infinite segments, but one has larger segments.
 
LogicTangerine
 
Reply Thu 28 Apr, 2011 06:29 pm
@hamilton,
congrats you have stumbled upon the idea that there are different kinds of infinities. There has been extensive work done in mathematics to incorporate this sort of understanding of infinities.
 
hamilton
 
Reply Fri 29 Apr, 2011 06:07 am
@LogicTangerine,
why thanks. ive been wondering about this one for a while, but everyone said it was wrong, that infinity is a fixed number, that there is only one.
 
 

 
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