[llm_trw]

The issue is that in a scientific experiment you can only change the state of A.

If for whatever reason B is stuck to T in all cases no one will think that A implies B, they will think that B is independent of A.

Yet that would still fit with a world in which A logically implies B.

You would need B to be dependent on a third variable which you're not controlling in the experiment that allows the value of B to change T or F outside your control.

Any good experimentalist will tell you to fix your broken experiment if that kept happening.

It's only when you have no control over the variables and you collect statistics that the view in the paper makes sense.

That's the difference between experimental and observational science.

And the philosophy of science is decades to centuries away from understanding that in any meaningful way.