If your actions hurt someone else, even if that wasn't your intention, apologize (see rule #2) and make it up to them.
Not owning up for things you've done wrong is immature, selfish, and the mark of a person with no self-esteem. Not recognizing your faults will cause you to spin in circles until you finally grow up, doomed to make the same mistakes over and over again.
Children never admit doing something wrong, it's always someone else's fault. Part of becoming an adult is owning your actions. All of them, even the shitty ones.
Only the insane are given a free pass to act completely without regard for others, but generally we remove them from society so nobody else has to deal with their fallout.
