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Criticaltheoretical
phenomena provide some spectacularly relevant counterexamples. Over
many decades a lot of smart people (including the likes of Curie and
Landau) got snookered by this. See for example the discussion of figure
36-15 in Feynman volume II. RPF says the observations "fit the
curve fairly well" but if you actually look at the figure you see aperceptible.
systematic discrepancy -- a smallish discrepancy, but readily