43

Logic II 43

{Marginal note: There are 7 pages of MS numbered 43a, 43b, ... 43g}

{Section title: Classification by Ruling Numbers}

not the easiest of all things to classify naturally, with certain
assured assured truth?-- can be classified on
no other grounds that this, except in a few exceptional
cases. In the Even in those few cases, this method would
seem to be the safest. For example, in pure mathematics,
almost all the classification reposes on the relations
of the forms classified to numbers or other multitudes.
Thus, in topical geometry, figures are classified according to
the whole numbers attached to their choresis, cyclosis, periphraxis, and apeiresis etc. As for the exceptions
such as the classes of hessians, jacobians, invariants,
vectors, etc. they all depend upon types, of a too, although
upon types of a different kind. It is plain that it must
be so; and all the natural classes of logic will be found to have
the same character.

I have now said enough concerning classification

Logic II 43

not the easiest of all things to classify naturally, with certain
assured assured truth?-- can be classified on
no other grounds that this, except in a few exceptional
cases. In the Even in those few cases, this method would
seem to be the safest. For example, in pure mathematics,
almost all the classification reposes on the relations
of the forms classified to numbers or other multitudes.
Thus, in topical geometry, figures are classified according to
the whole numbers attached to their choresis, cyclosis, periphraxis, and apeiresis etc.