I argue with myself internally, and sometimes externally, even carrying on conversations of myself.
A typical conversation would go something like this, and keep in mind I use my nick name to refer to myself, and Cynthia to who I'm arguing with:
Toka: What now...?
Cynthia: Just go around the backside it's easier.
Toka: The last idea I went with from you wasted three hours of my life...
Cynthia: Just trust me you moron...