Morrie is adamant about spending the last days of his life on his own terms. So, despite his illness, he refuses to let self-pity overwhelm him. His perspective on self-pity is that it is a double-edged sword: while a little indulgence is necessary at intervals, too much self-pity can be emotionally destructive.
In other words, Morrie accepts the limitations of his mortality but recognizes the importance of a healthy atittude towards impending death. In the book, Morrie tells Mitch that he prefers to focus on living life to the fullest. Because of his perspective, Morrie is able to enjoy every one of his interactions with others.
Morrie's approach towards self-pity is largely responsible for his strong connection to Mitch. During their conversations, Mitch comes to realize what makes Morrie so special. His professor is unequivocally interested in people as individuals, and he always listens to them "without trying to sell them something, pick them up, recruit them, or get some kind of status in return." Morrie's recognition of the human need to be appreciated and accepted is part of what draws others to him.
While Morrie recognizes his own fears about his illness, he revels in the opportunity to spend time with those he cares about. Additionally, he also enjoys passing on his philosophy about life to Mitch. In all, Morrie's perspective on self-pity testifies to his courage and the strength of his character.