CONTINUOUS AND DEFINITE QUANTITY HAVE NOTHING IN COMMON.

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.

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