Where Hume agreed with you was in rejecting substance dualism
Where he (seemingly) disagrees with you is in rejecting the reality of selves or minds entirely.
His proposal as to "what they exist as" was bundles of properties which may or may not amount to some kind of property dualism (see the
SEP article on Dualism)
There are also process ontologies, epiphenomenalism, or emergentism, and probably other views.
In any case, I think the point is that even in a view where consciousness and minds are functionally reducible to a lower level description, it can still be meaningful to talk about the "existence" of minds and selves. Someone like Douglas Hofstatder (see Godel, Escher Bach, or I am a Strange Loop) would even argue that it is necessary to speak of these things in a higher level language, because pure reductionisms miss something essential, but not in a way that makes a "self" an object in a naive sense. Unfortunately I don't think I can summarize Hofstatder's arguments very well.
It would probably be enough to realize that criticizing the use of the words "self" and "I" and "mind" probably misses the point in that not everyone (or even necessarily most people) using the words are thereby endorsing the kind of dualism that you are rejecting
Last edited by well named; 07-06-2014 at 05:59 PM.