If on the other hand this synthesis is applicable to no
subject other than the individual triads, it will be identical with
the being of triad, because we make the further assumption that the
substance of each subject is the predication of elements in its
essential nature down to the last differentia characterizing the
individuals. It follows that any other synthesis thus exhibited will
likewise be identical with the being of the subject.
The author of a hand-book on a subject that is a generic whole
should divide the genus into its first infimae species-number e.g.
into triad and dyad-and then endeavour to seize their definitions by
the method we have described-the definition, for example, of
straight line or circle or right angle. After that, having established
what the category is to which the subaltern genus belongs-quantity
or quality, for instance-he should examine the properties 'peculiar'
to the species, working through the proximate common differentiae.
He should proceed thus because the attributes of the genera compounded
of the infimae species will be clearly given by the definitions of the
species; since the basic element of them all is the definition, i.
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