I've thought a bit about a good way to respond to this question, and would like to draw a parallel to the scientific method. IMO, you could rephrase this question, "How do you experiment an experiment?"
Experiments verify empirical assumptions (hypotheses) about the physical universe. Unit tests will test assumptions about the state or behavior of the code they call. We can talk about the validity of an experiment, but that's because we know, through numerous other experiments, that something doesn't fit. It doesn't have both convergent validity and empirical evidence. We don't design a new experiment to test or verify the validity of an experiment, but we may design a completely new experiment.
So like experiments, we don't describe the validity of a unit test based on whether or not it passes a unit test itself. Along with other unit tests, it describes the assumptions we make about the system it is testing. Also, like experiments, we try to remove as much complexity as we can from what we are testing. "As simple as possible, but no simpler."
Unlike experiments, we have a trick up our sleeve to verify our tests are valid other than just convergent validity. We can cleverly introduce a bug we know should be caught by the test, and see if the test does indeed fail. (If only we could do that in the real world, we'd depend much less on this convergent validity thing!) A more efficient way to do this is watch your test fail before implementing it (the red step in Red, Green, Refactor).
