Historian: We can learn about the medical history of individuals through chemical analysis of their hair.
Conclusion
If we find a trace of mercury in Beethoven's hair, we'll know that venereal disease caused Beethoven's deafness.
Evidence
In Beethoven's time, mercury was commonly ingested to treat venereal disease.
Evaluate
This actually has the structural feel of a Necessary vs. Sufficient flaw. We know that in Beethoven's time that .
The author is thinking,
We know that venereal disease was one possible reason why you would have mercury in your system, but maybe it's not the only reason. Maybe Beethoven used a mercury-laden shampoo on his hair. Maybe he put mercury on his oatmeal. Maybe mercury was also the treatment for heart disease or lung disease.
Maybe mercury was the cure-all Robitussin of its day (this is an allusion to a Chris Rock comedy routine).
Goal
The author is assuming there isn't some other explanation for why people would have mercury in their hair, and the author is assuming anything needed to make his explanation plausible (Beethoven would have realized he had a disease, gone to a doctor, been prescribed mercury, taken the prescribed meds, etc.).