Every one (all) of the set of zero elements is true. It's not counterintuitive or inconsistent, this is the only way that makes sense.
The complement is also consistent. None of the set of zero elements are true. So there aren't any true's.
They're symmetrical cases, and negation turns them into each other. Not-any-true is equivalent to all-false, and not-all-true is equivalent to any-false.
The complement is also consistent. None of the set of zero elements are true. So there aren't any true's.
They're symmetrical cases, and negation turns them into each other. Not-any-true is equivalent to all-false, and not-all-true is equivalent to any-false.