Wittgenstein on logical truth and bipolarity

I provide a motivation for Wittgenstein's holding to the view that a necessary condition of an item's possessing a sense is its being capable of truth and capable of falsehood. I argue that Wittgenstein adopted the relevant view in order to defend an approach to the determination of logical truth on which the subject matter of a proposition is irrelevant to our making such a determination. This approach was itself conceived of as a remedy to that employed by Russell, and to a conception of logical truth on which the axiom of reducibility counts as logically true.