(November 3, 2011 at 3:43 pm)Tiberius Wrote: A non-algebraic proof:
So, please explain how this proof is "wrong".
That is simply a limit. The problem still goes back to any infinite number or series. Infinity is basically a concept and not a real number.
1/0.999...=1.00...100...100...1
That answer is not 'allowed' unless 0.999... has a finite end as:
1/0.999=1.001001001...
1/0.9999=1.000100010001...
We are only 'allowed' to repeat a finite sequence.
The rules change whenever infinity is involved. There would be an infinite number of zeros before each 1 which means the first 1 would never be reached. Again, it is easier to accept 0.999... as 1 than to redefine our mathematics involving infinities. A WHOLE lot easier.
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-- Homer Simpson
God has no place within these walls, just as facts have no place within organized religion.
-- Superintendent Chalmers
Science is like a blabbermouth who ruins a movie by telling you how it ends. There are some things we don't want to know. Important things.
-- Ned Flanders
Once something's been approved by the government, it's no longer immoral.
-- The Rev Lovejoy