direction in depth is eliminated. While the Gothic style _soars_, the Ionic _swings_. The interior of the cathedral pulls up with primeval force, but the temple is laid down in majestic rest. All this is equally true as relating to the Faustian and Apollinian Deity, and likewise of the fundamental ideas of the respective physics. To the principles of position, material and form we have opposed those of straining movement, force and mass, and we have defined the last-named as a constant ratio between force and acceleration, nay, finally volatilized both in the purely spatial elements of _capacity_ and _intensity_. It was an obligatory consequence also of this way of conceiving actuality that the instrumental music of the great 18th-Century masters should emerge as a master-art—for it is the only one of the arts whose form-world is inwardly related to the contemplative vision of pure space. In it, as opposed to the statues of Classical temple and forum, we have bodiless realms of tone, tone-intervals, tone-seas. The orchestra swells, breaks, and ebbs, it depicts distances, lights, shadows, storms, driving clouds, lightning flashes, colours etherealized and transcendent—think of the instrumentation of Gluck and Beethoven. “Contemporary,” in our sense, with the Canon of Polycletus, the treatise in which the great sculptor laid down the strict rules of human body-build which remained authoritative till beyond Lysippus, we find the strict canon (completed by Stamitz about 1740) of the sonata-movement of four elements which begins to relax in late-Beethoven quartets and symphonies and, finally, in the lonely, utterly infinitesimal tone-world of the “Tristan” music, frees itself from all earthly comprehensibleness. This prime feeling of a loosing, Erlösung, solution, of the Soul in the Infinite, of a liberation from all material heaviness which the highest moments of our music always awaken, sets free also the energy of depth that is in the Faustian soul: whereas the effect of the Classical art-work is to bind and to bound, and the body-feeling secures, brings back the eye from distance to a Near and Still that is saturated with beauty. ----- Footnote 172: Which, inasmuch as it has been detached from time, is able to employ mathematical symbols. These rigid figures _signify_ for us a destiny of yore. But their meaning is other than mathematical. Past is not a cause, nor Fate a formula, and to anyone who handles them, as the historical materialist handles them, mathematically, the past event as such, as an actuality that has lived once and only once, is invisible. Footnote 173: That is, not merely conclusions of peaces or deathdays of persons, but the Renaissance style, the _Polis_, the Mexican Culture and so forth— are dates or data, facts that have been, even when we possess no representation of them. Footnote 174: See Vol. II, pp. 403 et seq., 589 et seq. Footnote 175: