As to school buildings, we are expressly told by the author of the fragmentary tract on _The Athenian State_, currently attributed to Xenophon, but probably written as early as B.C. 424, that "the people (δῆμος) builds itself many palæstras, dressing-rooms, baths, and the masses have more enjoyment of these than the few that are well-to-do." If we assume that some of these palæstras were for boys, as we apparently have a right to do, we must conclude that some, at least, if not all, of the schools for bodily training were public edifices, let out by the State to teachers. Like all the great gymnasia, some, and possibly all, of them were situated outside the city walls and had gardens attached to them. Whether the music-schools were so likewise, is doubtful, and this brings us to our second question--whether the two branches of education were taught in the same place. That they were not taught in the same room, or by the same person, is clear enough; but it does not follow from this that they were not taught in the same building, or at any rate in the same enclosed space. Though there seems to be no explicit statement in any ancient author on this point, I think there are sufficient reasons for concluding that, generally at least, they were so taught. If we find that Antisthenes, Plato, and Aristotle, who may be said to have introduced a systematic "higher education" into Athens, opened their schools in the great public gymnasia, frequented by youths and men, we may surely conclude that the lower mental education was not separated from the physical. In the _Lysis_ of Plato, we find some young men coming out of a palæstra outside the city walls, and inviting Socrates to enter, telling him that their occupation (διατριβή) consists _mostly_ in discussions (τὰ πολλὰ ἐν λόγοις), and that their teacher is a certain Miccus, an admirer of his. Socrates recognizes the man as a capable "sophist," a term never used of physical trainers. On entering, Socrates finds a number of boys and youths (νεανίσκοι) playing together, the former having just finished a sacrifice. It seems to follow directly from this that intellectual education was imparted in the palæstras. If this be true, we may, I think, conclude that in Athens the schools generally were outside the city walls, though the case was certainly different in some other cities.