Suppose the story had gone like this: Simplicio measures X, and does it so well that his measurement has a correlation of 0.6 with X. Salviati examines lots of pairs (X,Y) and finds that X and Y typically differ by about 0.1 times the s.d. of X. Then the result would have been the same as before. Would that be a reason to say “measurement is no good; use probability and statistics instead”? Of course not.
Indeed. What matters is not what the procedures are called, but how they compare. Salviati’s results completely trump Simplicio’s.
Indeed. What matters is not what the procedures are called, but how they compare. Salviati’s results completely trump Simplicio’s.