A 'no-ownership' or 'no-self theory' holds that there is no proper subject of experience; the ownership of experience can only be accounted for by invoking a sub-personal entity. In the recent self-versus-no-self debate, it is widely assumed that the no- referent view of 'I', which is closely associated with Wittgenstein and G. E. M. Anscombe, implies a no-ownership theory of experience. I spell out this assumption with regard to both non-reflective and reflective consciousness and show that it is false. If (...) the so-called 'self' is an individual, the person, nothing more is required for the ownership of sensations than the non-reflective experiencing, undergoing, or suffering of them, whereas the sense of 'ownership' of reflective consciousness varies according to the type of 'I'-thought in question. Ownership of 'I'-thoughts about one's own actions, for one thing, is a matter of being able to fit future actions to them or answer questions as to why one is doing what one does. (shrink)