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Does X lead to Y?

Statistics today can answer the question of causality in many cases, especially the controlled studies, and that use to be the domain of philosophy.

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were statistics and controlled studies discovered in the domain of philosophy? Or were those discovered by mathemeticians, which simply replaced philosophy.

This is a false dichotomy. Frege was a mathematician and wrote philosophy attempting to explain what a number was. Questions about which domain this effort ought to be bucketed in don't have an answer.

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