Of course. Me and myself have quite a bit in common, we were bound to converse eventually.
During my time at the vocational school, one of my roommates told me she thought I might be insane. I thought it was be because I was, as I always did after sweeping, scanning the floor for dirt-specks and stray hairs like a dog who'd forgotten where he'd buried his bone, but she assured me that was not the case. It was because I talk to myself. "Doesn't everyone though?" I asked. "Yes," She replied, "but not like that!" I told her she should hear what stays in my head.
My other roommate would sometimes get defensive, thinking my arguments with myself or comments were directed towards her. "Then why did you say 'such-and-blah'?" She would ask. Do you really want me to waste your and my time on telling you, verbatim, the debate I was having with myself?
It's the arguing with myself that people find strange mostly, but I enjoy looking at things from different perspectives, and so I will take two sides and weigh them against one another.