There exists a category of syntactically valid declarative statements which appear intuitively like they are descriptions of reality - but which no possible measurement could distinguish from their negation, or indeed from any other claim.
It is clear enough that such statements are not viable scientific hypotheses.
It is clear enough that the statements contain various sentence fragments with meanings and clauses with meanings, and that the sum of the parts is, at least, the sum of the parts plus the fact of the parts being summed in that particular way, plus any associated feelings such a summation might impart.
However, if such a statement itself has any meaning more than that - a meaning which maps to the intuition of there being something that the statement means as a statement - I'm unable to determine what it might be.
I would like to know if there are any noteworthy positions on whether or not such statements can, in the sense described, mean anything at all. If they aren't meaningless, what sort of meaning can they have? I think it is the same question in other words to ask: are such statements propositions in the sense at SEP: Meaning?
Some possible examples follow. I think the first two might be syntactically meaningless for appropriately defined universe, but I'm including them because they also feel like they ought to mean something. I'm pretty confident that the last four aren't syntactically meaningless but are empirically indistinguishable from their negation.
A thousand light-years beyond the particle horizon of the universe, there is (is not) a man named Bob.
There exists (does not exist) another universe in which everyone is named Bob.
After the last conscious being dies, all matter in the universe will (will not) spontaneously coalesce into men named Bob.
Bob created the universe last Tuesday in exactly the configuration necessary to look as it does, fake memories and all. (The universe was not created thus.)
Bob has (doesn't have) free will.
Bob is a conscious being. (He is a philosophical zombie.)