If this is a strictly mathematical question, then 0.9r does indeed = 1, but this is as much convention as anything else.
In my (philosophical) opinion the confusion is caused like this:
There are two points that exist an undetermined finite space apart from each other.
How much pure...
As has been said before:
0.9
0.99
0.999
The space between those values and 1 is:
0.1
0.01
0.001
respectively
But in:
0.9r
There is no space left over because the 9s never end.
All of the 9s take up all of the space between 0 and 1, thus making it the same as 1...
Please let's not associate "philosophy" with believing that 0.9r != 1 and mathematics with 0.9r = 1. The link you posted, is someone's opinion albeit a professional mathematician/philosopher, but that doesn't make them right; there are plently of philosophers who would disagree with it...
But X.0 has the same value as X.000 and so on, where as X.9 doesn't have the same value as X.999
X not being anything to do with algebra, just meaning any number.
Poll: does 0.9r = 1 or not?
Dons/Admin can you please turn this into a poll?
-----------------------
Does 0.9r (0.999...) = 1?
Yes
No
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You can find arguments for/against in this thread if you are unsure...
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