So the question is 'Is there any such thing as an absolute?'
Yes, but they tend to be tautologies: what is is what is.
If .9999...9 is equal to 1
But this is true by definition:
1/3 + 1/3 + 1/3 ≡ 1
1/3 ≡ 0.3333 ... 3 by definition of decimal equivalences so
0.3333 ... 3 + 0.3333 ... 3 + 0.3333 ... 3 ≡ 1
Let's try 0.9999 ... 8999 ... 9 instead ...
... then non-zero chances can largely be dismissed. ...
Why? The chance is small but it is not non-existent, dismissing it is just using your opinion\bias rather than any real argument that it "can largely be dismissed." You are just playing probabilities.
... The same way that I can dismiss the non-zero possibility that I can walk through a wall. In the real world the possibility that I can walk through a wall is zero. I know this.
Well I've walked through walls. Of course the definition of wall comes in to play here.
But there is also the Douglas Adams thing about flying -- you jump at the ground and then miss ...