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: How about <math>\frac{999\ldots}{1000\ldots}</math>? Might want to take a look at ]. --] 20:16, 6 May 2005 (UTC) | : How about <math>\frac{999\ldots}{1000\ldots}</math>? Might want to take a look at ]. --] 20:16, 6 May 2005 (UTC) | ||
If 0.999... is 1 then the whole basis of mathematics should be re-written. Mathematics is considered to exact science. If 0.999... was EXACT 1 then it would not make ''any difference'' to say exempli gratia (for example) that domain is same than [0,1[ or 0.000...0001 is 0 which is the basis of differential calculus. One should not confuse concept of irrationality with rationality, or infinity with finity, or inexact with exact. |
Revision as of 20:28, 6 May 2005
I created this page in response to two threads I saw and the confusion that arose. Figured it was something worth noting. --BradBeattie 18:58, 6 May 2005 (UTC)
- I think you are right. I submitted it first for deletion because the title looked a bit misleading. This is not a series of nines, the series is if you wish of
Cheers, Oleg Alexandrov 19:01, 6 May 2005 (UTC)
True, the title was a little slap-dash. Thanks for the improvement. --BradBeattie 19:03, 6 May 2005 (UTC)
"In mathematics, one could easily fall in the trap of thinking that while 0.999... is certainly close to 1, nevertheless the two are not equal. Here's a proof that they actually are."
0,999... is irrational and so is the article. Basis on "the proof" that 0.9999...=1 one could argue that irrational is rational which is simply jargon.
- How about ? Might want to take a look at limits. --BradBeattie 20:16, 6 May 2005 (UTC)
If 0.999... is 1 then the whole basis of mathematics should be re-written. Mathematics is considered to exact science. If 0.999... was EXACT 1 then it would not make any difference to say exempli gratia (for example) that domain is same than [0,1[ or 0.000...0001 is 0 which is the basis of differential calculus. One should not confuse concept of irrationality with rationality, or infinity with finity, or inexact with exact.