The murder’s family, of size X, will all experience disutility from his imprisonment. Call that Y. The homeless man, literally no one will miss. No family members to gain utility from exacting justice. Therefore, since X*Y > 0, the murderer should go back to providing for his family.
You’re overlooking the disutility to the murdered man. Actually, what you describe is Prudent Predation, a famous objection to egoism, not utilitarianism.
You’re overlooking the disutility to the murdered man. Actually, what you describe is Prudent Predation, a famous objection to egoism, not utilitarianism.
I think you forgot to finish this:
Excellent point about the murdered man, though.