What is meant by "it is impossible to prove a negative" is that it is logically impossible to prove absolutely that something does not exist or is not the case.
This may have nothing to do with what you're talking about (I haven't read the thread back far enough to know why you're bringing this up), and maybe I don't understand what you're saying. However, in case I do:
It would be possible to prove that there does not exist any two even numbers that total an odd number when added together. In fact, I think math often attempts to prove a positive in order to prove a negative.
I understand that science doesn't attempt to "prove" anything. Theories and laws are always subject to overthrow, and thus perhaps in science one cannot prove a negative. In math and in law, however, it's done pretty often. The only reason we don't have an innocent verdict is because it's not necessary, not because it's not possible. I believe that we could establish beyond a reasonable doubt that Neil Armstrong was innocent of first degree murder in every murder case that occurred on earth during his trip to the moon, for example.
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