(no subject)

[timelets]

Classification is a halfway house between the immediate concreteness of
the individual thing and the complete abstraction of mathematical
notions. The species take account of the specific character, and the
genera of the generic character. But in the procedure of relating
mathematical notions to the facts of nature, by counting, by
measurement, and by geometrical relations, and by types of order, the
rational contemplation is lifted from the incomplete abstractions
involved in definite species and genera, to the complete, abstractions
of mathematics. Classification is necessary. But unless you can progress
from classification to mathematics, your reasoning will not take you
very far.

The practical counsel to be derived from Pythagoras, is to measure, and thus
to express quality in terms of numerically determined quantity. But the
biological sciences, then and till our own time, have been
overwhelmingly classificatory. Accordingly, Aristotle by his Logic
throws the emphasis on classification. The popularity of Aristotelian
Logic retarded the advance of physical science throughout the Middle
Ages.

Whitehead. Science ..., 1925