Hello, I'm Professor A. Pompous Ass, Arrogance Expert Extraordinaire.
Webster's Deluxe Unabridged Dictionary, Second Edition defines the following terms:

Arrogance is defined as: The act or quality of having unwarranted pride and self-importance; haughtiness.
Inferior is defined as: Lower in quality or value than something else.
Superior is defined as: Greater in value, quality, amount, power, etc.
Right is defined as: What is right (used in its own definition??), or just, lawful, morally good, proper, correct, etc.
Wrong is defined as: The state or fact of being wrong (again--used in its own definition??); also, something that is wrong (???), especially a wicked or unjust act.

Keith's Super Deluxe Whiz Bang Unabridged Dictionary, First Edition defines the following terms:

Arrogance-A many-sided coin having inferior, superior, right and wrong as several of its sides. None has meaning without reference to its opposite. In other words, you can't experience one without also experiencing its opposite, they are two sides of the same coin (:->).

We all know some obvious examples of arrogance: Hitler, Stalin, Idi Amin, Saddam Hussein.

Now, let's look at some not-so-obvious examples of arrogance:

Statement Of Arrogance Reality Check

"I want to help you." ===================> What makes you think I need your help?                                                                                Do you believe me incapable of doing this myself?

"I want to make you happy."==============> Because you desire it, regardless of  my                                                                                feelings or wishes about it?

"I want to right the wrongs of the world."======> Who are you to judge what is right and                                                                                wrong in the world?

Arrogance can see itself as "better", "smarter", more capable than another. But it can also see itself as "less", "dumber", less capable than another (remember---two sides of the same coin). Arrogance is a descendant of judgement which is itself a direct descendant of fear--the fundamental perception of separation from the All That Is.