Hmmm...that's a good point. I suppose the point is that as our empirical observations of reality get more accurate, our physical model becomes a closer approximation of reality. Certainly, if we are to take things to the extreme
nothing can ever be proved - but such a solipsist view of the universe is unable to provide us with any useful information. Using inductive reasoning and empirical observation we can formulate theories that have predictive power and real world applicability, even if we do have to constantly revise those theories.
The examples I have been using in this thread have all been very simple examples of course - in order to disprove the claim, "There are no cows," one simply needs to observe a single cow - for the purposes of illustration. These are basic principles of course; in science one would want to have independant verification of the cow in reproducable experiments, and accurate measurements should be taken so as to eliminate alternate hypotheses (such as a bunch of dogs tied together and painted black and white - Simpsons reference

)
The two statements you gave:
1. The earth we inhabit has at least one moon.
2. The earth we inhabit does not have more than one moon.
I would actually argue that with our current state of scientific knowledge, statement two is actually the more reasonable statement. The reason is that we currently have no reason to believe that there is more than one moon out there. There have been no observations of a second moon, and no unexplained phenomena could be explained by hypothesising the existence of a second moon. Therefore, it is perfectly reasonable to say, "The earth we inhabit does not have more than one moon."
The first statement, however, is not necessarily a reasonable statement to make. Certainly, it is logically correct, as we have already the established the existence of one moon. However, the statement violates the Gricean maxim of quantity - there is more information given in that statement than is necessary, as we know (to as reasonable a degree as anyone can 'know' anything in science) that there is one moon and one moon
only. Giving more information than that can be misleading, and should therefore be avoided. The same problem applies to the second statement as well, but to a lesser extent, as it is positing only
two possible scenarios - no moon or one moon - as opposed to the theoretically infinite number of scenarios posited by the first statement.
Of course, the
best possible phrasing of such a statement would be, "The earth we inhabit has one moon."