Probability

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Is an event which has zero probability of occurring but which is nonetheless conceivably possible rightly termed "impossible"?
For instance, is it "impossible" that I could be the EXACT same height as another person? I take it that the chance of this is zero in that there are infinitely many heights I could be (6 ft, 6.01 ft, 6.001 ft, 6.0001 ft, etc.) but only one which could match that of a given other person exactly; at the same time, I have no problem at all imagining a world in which I really am exactly as tall as this other.
Accepted:June 28, 2007

Accepted:

June 28, 2007