Selections from the Principles of PhilosophyDescartes, René
PhilosophyPhilosophy
Selections from the Principles of Philosophy
Descartes, René
Philosophy
Universals arise merely from our making use of one and the same idea
in thinking of all individual objects between which there subsists a
certain likeness; and when we comprehend all the objects represented
by this idea under one name, this term likewise becomes universal.
For example, when we see two stones, and do not regard their nature
farther than to remark that there are two of them, we form the idea
of a certain number, which we call the binary; and when we
afterwards see two birds or two trees, and merely take notice of
them so far as to observe that there are two of them, we again take
up the same idea as before, which is, accordingly, universal; and we
likewise give to this number the same universal appellation of
binary. In the same way, when we consider a figure of three sides,
we form a certain idea, which we call the idea of a triangle, and we
afterwards make use of it as the universal to represent to our mind
all other figures of three sides. But when we remark more
particularly that of figures of three sides, some have a right angle
and others not, we form the universal idea of a right-angled
triangle, which being related to the preceding as more general, may
be called species; and the right angle the universal difference by
which right-angled triangles are distinguished from all others; and
farther, because the square of the side which sustains the right
angle is equal to the squares of the other two sides, and because
this property belongs only to this species of triangles, we may call
it the universal property of the species. Finally, if we suppose
that of these triangles some are moved and others not, this will be
their universal accident; and, accordingly, we commonly reckon five
universals, viz., genus, species, difference, property, accident.
LX. Of distinctions; and first of the real.
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