RE: LeoThread 2025-11-29 03-49

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That claim has essentially zero practical relevance — pure Bourbaki-style mathematical masturbation.



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For a continuous distribution the probability of someone being exactly 1.78 m tall (the mean) is zero only under the assumption of infinite measurement precision.

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In real-world science measurement precision is necessarily limited by instruments (or by Planck-like lower bounds). With, say, 10^-4 precision, the situation involves closed intervals like [1.7751, 1.7850], each of which has measure ≥ 0

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For a continuous distribution every "point" on the real line has a measure 0; even more so for rationals

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