The decline of the West, Volume 1 : $b Form and actualitySpengler, Oswald
Philosophy
The decline of the West, Volume 1 : $b Form and actuality
Spengler, Oswald
Civilization -- History
The most valuable thing in the Classical mathematic is its proposition
that number is the essence of all things _perceptible to the senses_.
Defining number as a measure, it contains the whole world-feeling of a
soul passionately devoted to the “here” and the “now.” Measurement in
this sense means the measurement of something near and corporeal.
Consider the content of the Classical art-work, say the free-standing
statue of a naked man; here every essential and important element of
Being, its whole rhythm, is exhaustively rendered by surfaces,
dimensions and the sensuous relations of the parts. The Pythagorean
notion of the harmony of numbers, although it was probably deduced from
music—a music, be it noted, that knew not polyphony or harmony, and
formed its instruments to render single plump, almost fleshy, tones—
seems to be the very mould for a sculpture that has this ideal. The
worked stone is only a something in so far as it has considered limits
and measured form; what it _is_ is what it _has become_ under the
sculptor’s chisel. Apart from this it is a _chaos_, something not yet
actualized, in fact for the time being a null. The same feeling
transferred to the grander stage produces, as an opposite to the state
of chaos, that of _cosmos_, which for the Classical soul implies a
cleared-up situation of the external world, a harmonic order which
includes each separate thing as a well-defined, comprehensible and
present entity. The sum of such things constitutes neither more nor less
than the whole world, and the interspaces between them, which for us are
filled with the impressive symbol of the Universe of Space, are for them
the nonent (τὸ μὴ ὅν).
Extension means, for Classical mankind body, and for us space, and it is
as a function of space that, to us, things “appear.” And, looking
backward from this standpoint, we may perhaps see into the deepest
concept of the Classical metaphysics, Anaximander’s ἄπειρον—a word that
is quite untranslatable into any Western tongue. It is that which
possesses no “number” in the Pythagorean sense of the word, no
measurable dimensions or definable limits, and therefore no being; the
measureless, the negation of form, the statue not yet carved out of the
block; the ἀρχὴ optically boundless and formless, which only becomes a
something (namely, the world) after being split up by the senses. It is
the underlying form _a priori_ of Classical cognition, bodiliness as
such, which is replaced exactly in the Kantian world-picture by that
Space out of which Kant maintained that all things could be “thought
forth.”
Public-domain text, read in full here on John Shaqi.
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