0.999... Poll

What is your stance on this Paradox(0.999... repeating decimal and its value)
1.Transformatism(1 is exactly the same number as 0.999... written in different form)
2.Strong Convergism(1 is equal to 0.999... in all aspects)
3.Weak Convergism(0.999... converges to 1 at infinity)
4.Weak dualism(1 is equal to 0.999... practically, but is different in exact values)
5.Strong Dualism(1 is different and inequal number to 0.999...)
6.Separatism(1 and 0.999... belong to different number classes and cannot be compared)

>>15
The hyperreal approach is interesting.  (The other approach is new to me as well, but seems unnatural.)  I've never formally learned nonstandard analysis, except for how to define it from predicate calculus.  How do you go about proving the two numbers are distinct?  It would have to converge to 1 -h for some infinitesimal h if that were the case, right?  Would the number be greater if you chose a larger infinite constant for the upper bound?