Thomas Aquinas on Liberal arts

“The seven liberal arts do not adequately divide theoretical philosophy; but, as Hugh of St. Victor says, seven arts are grouped together (leaving out certain other ones), because those who wanted to learn philosophy were first instructed in them. And the reason why they are divided into the trivium and quadrivium is that “they are as it were paths (viae) introducing the quick mind to the secrets of philosophy.””

“The fitting order of learning will therefore be as follow: First boys should be instructed in logical matters, since logic teaches the method of the whole philosophy. Secondly, however, they should be instructed in mathematics, which neither requires experience, nor transcends the imagination. Thirdly, they should be instructed in natural things, which, even though they do not exceed sense and imagination, nevertheless require experience. Fourthly, in moral matter, which require experience and a mind free from its passions, as is stated in Book I. Fifthly, however, in sapiential and divine things, which transcend the imagination and require a strong intellect.”