4.441 It is clear that no object (or complex of objects) corresponds to the complex of the signs “F” and “T;” just as little as do horizontal and vertical lines or brackets. – There are no “logical objects.”

Of course the same goes for all signs that express the same as the schemata of “T” and “F.”

Black (p. 224): “Wittgenstein’s important conclusion that there are no ‘logical objects’ follows immediately from his principle that objects are represented by genuine names, while the logical signs are ‘interdefinable’ (cf. 5.42b).”