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0.999... Poll

Name: Anonymous 2010-04-03 15:16

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)

Name: Anonymous 2010-04-06 17:58

In ZFC (or pretty much any functional system of axioms) .999... = 1.
False.  ZFC is a system of axioms for set theory, not real analysis.  And there are number systems where you could define 0.999... in a way which makes it not equal to 1.

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