Mathematics

Probability

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In the probability thread, multiple philosophers mention examples of zero-probability events that aren't necessarily "impossible" (like flipping an infinite number of heads in a row). Arriving at a probability of zero in these instances relies on saying that 1/infinity = 0. But this math seems misleading. Don't mathematicians rely on more precise language to avoid this paradoxical result, by saying that "the limit of 1/x as x approaches infinity = 0," rather than simply "1/x = 0"? I feel like there must be some way to distinguish (supposedly) zero-probability events that are actually possible and zero-probability events that are impossible. Thanks!
Accepted:June 25, 2009

Accepted:

June 25, 2009