Problem:
In Fyodor Dostoyevsky's great novel, Crime and Punishment, the main character plots and carries out the murder of an old woman who has a considerable amount of money in her apartment. After killing her, he steals the money.
He argues that 1) she is a malicious old woman, petty, cantankerous and scheming, useless to herself and to society (which happens to be true), and her life causes no happiness to herself or to others; and 2) her money if found after her death would only fall into the hands of chiselers anyway. Whereas he would use it for his education.
Is this action justified?