5.4611 Logical operation signs are punctuation marks.

So none has an independent meaning, surely. Proops (p. 15): “Wittgenstein’s point is that the logical connectives share with punctuation marks the feature of lacking sense and reference while nonetheless having a meaning in their own right. The point of the comparison with punctuation is to bring out that the logical connectives make a purely structural contribution to the meanings of the sentences in which they figure.”