For me he is definitely an extrovert (at least the way he is shown in the series) - a man who 'runs among the things', and who never looks at what is going on 'inside'. At least I never saw him asking himself 'am I a good man?'. I'm not talking about something complicated (it's not BSG), but something simple and straightforward... never. But may be I've missed some episode when he did some 'soul-searching'.
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