Plotinos: Complete Works, v. 3: In Chronological Order, Grouped in Four PeriodsPlotinus
Philosophy
Plotinos: Complete Works, v. 3: In Chronological Order, Grouped in Four Periods
Plotinus
Plotinus
If continuous quantity be quantity as far as it is continuous, then
definite quantity will no longer be quantity. If, on the contrary,
continuous quantity be quantity only accidentally, then there is
nothing in common between continuous and definite quantity. We will
grant that numbers are quantities, although if their nature of being
quantities were plain, one would not see why they should be given that
name. As to the line, the surface, and the body, they are called sizes
and not quantities; and the latter name is given them only when they
are estimated numerically; as when, for instance, they are measured
by two or three feet.[249] A body is a quantity only in so far as
it is measured, just as space is a quantity only by accident, and
not by its spatiality. We must here not consider what is quantity by
accident, but by its quantitativeness, quantity itself. Three oxen
are not a quantity; in this case, the quantity is the number found in
them. Indeed, three oxen belong already to two categories. The case
is similar with the line, and the surface, both of which possess such
quantity. But if the quantity of surface be quantity itself, why would
surface itself be a quantity? It is no doubt only when determined by
three or four lines that the surface is called a quantity.
NUMBERS ARE NOT QUANTITY IN ITSELF.
Shall we then say that numbers alone are quantity? Shall we attribute
this privilege to Numbers in themselves, which are beings, because
they exist in themselves?[250] Shall we grant the same privilege to
numbers existing in things which participate in them, and which serve
to number, not unities, but ten oxen, for example, or ten horses?
First, it would seem absurd that these numbers should not be beings,
if the former ones be such. Then, it will seem equally absurd that
they should exist within the things they measure, without existing
outside them,[251] as the rules and instruments which serve to measure
exist outside of the objects they measure. On the other hand, if these
numbers that exist in themselves serve to measure, and nevertheless do
not exist within the objects that they measure, the result will be that
these objects will not be quantities since they will not participate in
quantity itself.
NUMBER IS NOT IN QUANTITY; BUT QUANTITY IS IN NUMBER.
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