The _nave_ itself soars up by means of enclosing walls on either side, at different degrees of elevation, according to various modes of disposition, above the aisles, broken by colossal windows in such a way that the walls themselves at the same time have the appearance of being slender piers, which everywhere separate in pointed arches and build up vaultings. There are, however, churches in which the side aisles have the same height as the nave, as, for example, in the later choirs of the Sebaldus Church in Nuremberg, which offers the impression of an imposing, free, and capacious type of slenderness and delicacy. In this way the whole is divided by means of rows of piers, which are brought together at their summits like a forest in flights of branching arches. Attempts have been made to discover in the _number_ of these piers, and generally in the relations of number much _mystical_ significance. There can be no question but that at the period of the finest efflorescence of Gothic architecture, that, for example, of Cologne Cathedral, a great significance was attached to the symbols of number, the as yet more gloomy presentiment of what is rational falling in readily with an insistence on external traits of this kind. But despite this fact the artistic productions of architecture, which are carried through by means of that which is always to a greater or less degree merely the capricious play of a symbolism of subordinate rank, is neither of the profoundest significance, nor of the most exalted form of beauty, for the reason that the genuine spirit of these is expressed in entirely different forms and modes than those applicable to the significance of numeral distinctions. We must therefore be especially cautious not to carry such investigations too far. To attempt to go to the root of everything and in every direction to desire to discover a deeper meaning will tend quite as much to contract our horizon and destroy our thoroughness of search as is common with all short-sighted learning which passes over the depth which is clearly expressed and presented without grasping it. In respect to the more detailed distinction between _choir_ and nave, I will in conclusion emphasize the following points. The high-altar, this real centre of the ritual, is placed in the choir, which is thus dedicated as the place for the priesthood as distinct from the community, whose proper place is that of the nave, where we find the pulpit for the preacher. A flight of steps, which varies in its height, conducts us to the choir, so that this latter section and all that takes place in it is visible everywhere. In the same way this choir section is relatively to decoration more ornate, and, moreover, in its distinction from the more prolonged nave, even where the vaultings in both cases are of equal height, is more serious, solemn, and sublime. Above all we find here that the entire building is finally enclosed