What a good post and discussion, most of which I shall bow to the superior knowledge of others. All I would say is that as a devotee of QI, Stephen Fry's panel show, which he has sadly retired from, something like 40% - yes, 78.6% of statistics are invented on the spot! About that number of their perceived correct answers are now incorrect. There is no such thing as a fact, that's a fact! And much of science is learned not by proof but by disproving a thesis, which the better scientists are more than willing to acknowledge. Forcing a wrong'un is a path to the abyss.
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