1= .9999999999999999999.........

by Demodocus
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Demodocus is offline
Oct7-05, 10:16 PM
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Here it is...

1/3= .33333333333...........

2/3= .6666666666.........


3/3= .9999999999.......


1= .999999999........


I think that this "paradox" means that there is a problem with our definition of infinity. At least, the definition needs to be refined. Does this mean that 1 is not equal to one, or is .9999999... another name for one? I think this topic needs to be adressed.
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mezarashi is offline
Oct7-05, 10:19 PM
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Oh no, I remember a long one discussing this. Something about convergence, but I'll sit back and watch :)
Gokul43201 is offline
Oct7-05, 10:49 PM
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Here, read this thread COMPLETELY.


HallsofIvy is offline
Oct8-05, 08:03 AM
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1= .9999999999999999999.........

Ouch! Another one. Demodocus- there is nothing wrong with "our" definition of infinity (actually, I can't speak for yours). Yes, 0.9999.... is just another name for 1 (that, I must say, is put very nicely). Our definition of "base 10 enumeration system" is such that 0.9999.... means the sum of the infinite series 9/10+ 9/100+ 9/100+ ... which is a geometric series that can be shown to converge to 1.

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