 But is practical wisdom the only ingredient of our ultimate end that has not yet been sufficiently discussed? Book VI discusses five intellectual virtues, not just practical wisdom, but it is clear that at least one of these—craft knowledge—is considered only in order to provide a contrast with the others. Aristotle is not recommending that his readers make this intellectual virtue part of their ultimate aim. But what of the remaining three: science, intuitive understanding, and the virtue that combines them, theoretical wisdom? Are these present in Book VI only in order to provide a contrast with practical wisdom, or is Aristotle saying that these too must be components of our goal? He does not fully address this issue, but it is evident from several of his remarks in Book VI that he takes theoretical wisdom to be a more valuable state of mind than practical wisdom.