Just to be clear...
A lot of people are attached to the idea data is total in
all fields of science, so
if it's not on paper = it doesn't exist. I've tried to hit home this point with examples like subliminal advertising or human reaction times and it's just not working in[size=small] "› [/size]
Sound Science[size=small] › [/size]Dilemma".
Wrong. We say if it is truly audible, it can be shown on paper. There is a difference.
While your point is coming across loud and clear, from a purely logical perspective, there IS NO DIFFERENCE
A=>B is the same as ~B=>~A
thus, "If it is truly audible, then it can be shown on paper" is equivalent to saying, "If it can't be shown on paper, it is not truly audible."
No (to El_Doug), rephrasing as the contrapositive wasn't the only change made. "it exists" is quite different than "truly audible".
Even on a macroscopic level—not even talking about Heisenberg uncertainty—there's a limit to measurement accuracy. Furthermore, there should be a distinction between measurements that can be done easily, those that can be done if we theoretically had an infinite amount of time to run experiments, those that are impractical so aren't done in practice, and so on. Many effects should exist yet not show up on paper; they could be attributes that can't be directly measured, or they can't be picked up by current instrumentation because of the accuracy.
A more proper or careful phrasing is this, though maybe somebody else has a better formulation:
If there is an audible difference or phenomenon, some measurement will produce different results. [a measurable change, so it will show up in the data, or "on paper"]
(if the right tools are used and the correct measurements taken. "audible" is a key word because the instrumentation may not be good enough for some other fields.)
or
If there is no change is detected in every possible measurement, there will be no audible difference.