and justice ; others are non-intellectual, those that are regarded as co-extensive and parallel with the former, like health and strength. For health is found to attend upon and be co-extensive with the intellectual virtue of temperance, just as strength is a result of the building of an arch. These are called non-intellectual, because they do not require the mind's assent ; they supervene and they occur even in bad men : for instance, health, courage. The proof, says Posidonius in the first book of his treatise on Ethics, that virtue really exists is the fact that Socrates, Diogenes, and Antisthenes and their followers made moral progress. And for the existence of vice as a fundamental fact the proof is that it is the opposite of virtue. That it, virtue, can be taught is laid down by Chrysippus in the first book of his work On the End, by Cleanthes, by Posidonius in his Protreptica, and by Hecato ; that it can be taught is clear from the case of bad men becoming good. Panaetius, however, divides virtue into two kinds, theoretical and practical ; others make a threefold division of it into logical, physical, and ethical while by the school of Posidonius four types are recognized, and more than four by Cleanthes, Chrysippus, Antipater, and their followers. Apollophanes a for his part counts but one, namely, practical wisdom. Amongst the virtues some are primary, some are subordinate to these. The following are the primary: wisdom, courage, justice, temperance. Particular virtues are magnanimity, continence, endurance, presence of mind, good counsel. And wisdom they define as the knowledge of things good and evil and