This summary article discusses rationality and intelligence in AI systems. It examines a specific computational approach for addressing rationality and intelligence, namely, the development of a computational cognitive architecture that aims to capture the human mind, that is, a psychologically realistic computational model. The article discusses various forms of human rationality, different ideas about intelligence, roles of human motivation, and so on, all examined through the lens of the cognitive architecture. The article argues that recent computational models are more sophisticated and more advanced than what critics of AI often assumed: They are well equipped to overcome many of the criticisms leveled against the AI of the past. This short article is a sketch of relevant arguments.