> But it would still halt. Infinity is weird like that What are you tring to say... | Hacker News

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		gowld 1 day ago \| parent \| context \| favorite \| on: Why Busy Beaver hunters fear the Antihydra > But it would still halt. Infinity is weird like that What are you tring to say? > The probability of having a 2:1 ratio of heads/tails - at some point - in an infinite sequence of fair flips is 1, is it not? Yes, but "probability = 1" absolutely does not mean "will happen eventually" in pure mathematics. Infinity is weird like that.

LegionMammal978 1 day ago [–]

The probability is less than 1, and in fact it exponentially goes to 0, since the halting condition can be modeled as a biased random walk [0].

[0] https://wiki.bbchallenge.org/wiki/Antihydra#Trajectory

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