Final answer:
John Stuart Mill did not argue that the Categorical Imperative is Utilitarian; this statement is false. Mill's Utilitarianism is a consequentialist theory, while Immanuel Kant's Categorical Imperative is deontological and not based on utilitarian principles.
Step-by-step explanation:
The statement that John Stuart Mill argued that the Categorical Imperative is Utilitarian is false. Mill, who was a proponent of Utilitarianism, advanced the idea that actions are right if they promote the greatest happiness for the greatest number. This contrasts with Immanuel Kant's Categorical Imperative, which is a deontological theory, meaning it judges the morality of actions based on the actions themselves rather than on their consequences. Mill's Utilitarianism also introduced qualitative distinctions among pleasures, recognizing that some pleasures are of higher quality than others. Therefore, these are two distinct theories within ethical philosophy.