From EVEWiki
The term Carebear in MMORPG's has come to refer to players who prefer not to participate in Player vs. Player (PvP) aspects of the games. Originally, the term was frequently used as a derogative by PvP players who disliked players who would not participate in combat/duels with them. However, over the years the term has come to mean players who simply prefer Player vs. Environment PvE elements of games. Some PvP players continue to use the term in a derogative way when they are frustrated with the inability to find other players to do combat with.
Since the PvE elements of Eve Online are limited, many people who play the game do so for PvP. This leads to the mistaken belief that there is no place for PvE play. None the less there are several completely non-PvP Corporations active in Eve.
