There is a subtle difference between saying "I'm sorry" and "I apologize". An apology is a formal admission of a wrongdoing. It may or may not be heartfelt — i.e., a person may apologize without feeling remorseful. On the other hand, saying "I am sorry" is usually seen as being a truer admission of regret. It is what is called a "heartfelt apology." If someone says he is sorry but does not feel an