Rath on 25 September 2008
I think I see what you're saying but I'm not certain.
In theoretical mathematics "0.(3) + 0.(3) + 0.(3) = 0.(9) AND 1" is true by definition because 0.(3) does equal 1/3 and 0.(9) does equal one. That has been proven multiple times in this thread, it is not just close to (as you seem to suggest with your 'close enough' comment) but it is identical to. If you're denying this then you are just plain wrong.
However if you're trying to state that in application (as opposed to purely in theory) 0.(3) as expressed properly (0.3333...) is never actually 1/3 as there is no way to have actual infinite recurrence. Thus in applied mathematics 0.(3) != 1/3.
