Re:Twenty questions is a weird game
by alexmolas on Tuesday November 15, 2022 @04:46AM
(#33607178)
That's not true. The set of numbers between 0 and 1 is uncountable, which means that has a cardinality bigger than the natural numbers, ie: you can't build a bijection between [0, 1] and the natural numbers. Therefore, to fully specify any number in [0, 1] you'll need an infinite number of guesses.
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There's an uncountable number of numbers between 0 and 1, but you, a human, can only pick from a countable subset of those.