From the Recapitulatio of Fr. Réginald Garrigou-Lagrange, O.P.'s De Virtutibus Theologicis (p. 20), a commentary on St. Thomas Aquinas's Summa Theologica II-II, he gives the following categorization of the virtues (virtutes), following the organization of St. Thomas's treatment of the virtues in his Summa:
Here's a rough translation:
- The Virtues
- Theological (regarding the end)
- in the will
- virtue uniting us to God according to the beloved itself: CHARITY
- virtue tending to God desired by us: HOPE
- in the intellect
- virtue knowing God according to the authority of God revealing: FAITH
- Cardinal (regarding the means)
- in the reason
- regarding the right direction of the acts of the moral virtues: PRUDENCE
- in the appetite
- rational
- regarding the operations toward another, rendering according to strict duty: JUSTICE
- sensitive
- regarding the passions
- withdrawing from it what reason dictates (for fear): FORTITUDE
- impelling toward something against reason (for sensual desires): TEMPERANCE
Prudence is indeed first among the cardinal virtues because it it deals with the "right direction of the acts of the moral virtues." Thomistic thought holds that "The will follows, does not precede, the intellect" (Thesis 21 of the 24 Thomistic Theses.)
St. Thomas Aquinas also wrote a Disputed Questions on the Virtues, and he distinguished three types of virtues—intellectual, moral, and theological—in Summa I-II q. 57.
The intellectual virtues are divided as follows (cf. Reality: A Synthesis of Thomistic Thought ch. 47 art. 2 "Classification of the Virtues"):
- Intellectual Virtues
- Speculative Order
- Wisdom
- Science (knowledge)
- Understanding
- Practical Order