x(2x - 1)

y = —————

(x + 2)(x - 3)

where x is infinite or indefinite.—Tr.

[74]. “Function, rightly understood, is existence considered as an activity” (Goethe). Cf. Vol. II, p. 618, for functional money.

[75]. Built for August II, in 1711, as barbican or fore-building for a projected palace.—Tr.

[76]. From the standpoint of the theory of “aggregates” (or “sets of points”), a well-ordered set of points, irrespective of the dimension figure, is called a corpus; and thus an aggregate of n - 1 dimensions is considered, relatively to one of n dimensions, as a surface. Thus the limit (wall, edge) of an “aggregate” represents an aggregate of lower “potentiality.”

[77]. See p. [55], also Vol. II, pp. 25 et seq.

[78]. “Anti-historical,” the expression which we apply to a decidedly systematic valuation, is to be carefully distinguished from “ahistorical.” The beginning of the IV Book (53) of Schopenhauer’s Welt als Wille und Vorstellung affords a good illustration of the man who thinks anti-historically, that is, deliberately for theoretical reasons suppresses and rejects the historical in himself—something that is actually there. The ahistoric Greek nature, on the contrary, neither possesses nor understands it.

[79]. “There are prime phenomena which in their godlike simplicity we must not disturb or infringe.”