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It depends on what you mean when you say 0.999999... (if you don't define what you mean, then there is nothing to debate really).
When people talk about "infinities", what ...
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 11022005 #11
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 Aug 2005
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When people talk about "infinities", what they really mean is some kind of limit process, since the concept of "infinity" is very counterintuitive and not mathematically rigorous. I interpret 0.999999... to mean the real number that is the limit of the geometric sum 0.9 + 0.09 + 0.009 + ... as you add more terms indefinitely  which does equal 1  in the sense that given any arbitrarily small real neighborhood around 1 on the real number line, the sum will be confined to that neighborhood after a sufficient finite number of terms (which is easily calculated).
The real numbers are dense, so there is no such thing as "the biggest real number less than 1".
Now, if you don't interpret it that way, or if you don't believe in limits or that 0.999999... is a real number, then certainly you may get other results.
 11022005 #12
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 Nov 2004
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Originally Posted by smolloy
You can't use undefined numbers like that.
>so 0.999... x 10... is not 9.999... but ends at 0.999... x 10(your can't calculate it any further)
Originally Posted by spoon!
It's either defined or not.
 11022005 #13
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Originally Posted by jens
 11022005 #14
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Originally Posted by pavlo_7
You can't define that cause infinty itself is not defined.
This is also why people realy need to know the last number of Phi.
 11022005 #15
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 Jul 2005
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I will try to define infinity:
Infinity is time, and 1 is the first count of it
 11022005 #16
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what the hell is the relevence of this?
Old Skewl  AMD Athlon XP 1600+ / 512mb / 160gb / nVidia GeForce 4 4800ti 128mb / openSUSE 10.0 / 2.6.1315 / (puter geek . linux noob)
 11022005 #17
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 Jul 2005
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 Maryland
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I do not not know the answer myself.
I am just trying to have some fun (play a game) with this question about 1.
So here is what I came up with to continue my previous thought:
There is no need to define what causes time (infinity), because it would be a logical
error (there cannot be anything more than infinity, or less than infinity).
Infinity can also be viewed as something unlimited, or the complete opposite: o (zero)
1 is what breaks this pure infinity, therefore it must be defined in some way, and it must be exact, such as: 1=1 (no less and no more).
With introduction of 1, infinity does not exist anymore.
Zero in calculations only represents the infinity that existed before the introduction of 1.
The last number must be 1 added to the previous number, and that should be the limit of all calculations.
So, the limit would depend on how far you want to go adding 1 to the previous number.
jens: I hope you did not take it seriously
 11022005 #18
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 Nov 2004
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Originally Posted by pavlo_7
One simply can't define infinity(think in numbers, not in words).
Originally Posted by pavlo_7
 11022005 #19
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 Jul 2005
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It all was a joke.
Edit: I actually agree with smolloy:
0.999999...... is not 1. It's just as close as you can get without actually being 1
 11022005 #20
Hmmm, I think everyone is missing the point here. It's not really important whether 0.999... == 1 or not, what is important is that you do the calculations on a open source platform, so that you can see whether the mathematics have been implemented correctly and with no security holes.
Linux user #126863  see http://linuxcounter.net/