You compose because you want to somehow summarize in some permanent form your most basic feelings about being alive, to set down... some sort of permanent statement about the way it feels to live now, today.
Inspiration may be a form of super-consciousness, or perhaps of subconsciousness I wouldn't know. But I am sure it is the antithesis of self-consciousness.
The whole problem can be stated quite simply by asking, "Is there a meaning to music?" My answer would be, "Yes." And "Can you state in so many words what the meaning is?" My answer to that would be, "No."