[1024a]
[1]
Again,
since a quantity has a beginning, middle and end, those to which
position makes no difference we describe as "all," and those to which
position makes a difference we describe as "whole," and those to which
both descriptions can be applied, as both "all" and "whole."These are all things whose
nature remains the same in transposition, but whose shape does not;
e.g. wax or a coat. They are described as both "whole" and "all"; for
they have both characteristics. Water, however, and all liquids, and
number, are described as "all"; we do not speak of a "whole number" or
"whole water" except by an extension of meaning. Things are described
as "all" in the plural qua differentiated which
are described as "all" in the singular qua one;
all this number, all these units.We do not
describe any chance quantity as "mutilated"; it must have parts, and
must be a whole. The number 2 is not mutilated if one of its 1's is
taken away—because the part lost by mutilation is never
equal to the remainder—nor in general is any number
mutilated; because the essence must persist. If a cup is mutilated, it
must still be a cup; but the number is no longer the same.Moreover, not even all things
which have dissimilar parts are mutilated; for a number has in a sense
dissimilar as well as similar parts—e.g. 2, 3. But in
general of things whose position makes no difference, e.g. water or
fire, none is mutilated;—
[20]
to be mutilated, things must be such as have their
position according to their essence.Further, they must be continuous; for a
musical scale is composed of dissimilar parts, and has position; but
it does not become mutilated. Moreover, even things which are wholes
are not mutilated by the removal of any of their parts;
the parts removed must be neither proper to their essence nor in any
chance location. E.g., a cup is not mutilated if a hole is made in it,
but only if the handle or some projection is broken;and a man is not mutilated if
he loses flesh or his spleen, but if he loses some extremity; and not
every extremity, but only such as cannot grow again when completely
removed. Hence bald people are not mutilated.The
term "genus" <or "race"> is used: (a) When there is a
continuous generation of things of the same type; e.g., "as long as
the human race exists" means "as long as the generation
of human beings is continuous." (b) Of anything from which things
derive their being as the prime mover of them into being. Thus some
are called Hellenes by race, and others Ionians, because some have
Hellen and others Ion
as their first ancestor.(Races are called after the male ancestor rather than after the
material.1
Some derive their race from the female as well; e.g. "the descendants
of Pyrrha2.")
1 Aristotle regards the mother as providing the material, and the father the formal element of the child. Cf. Aristot. Met. 1.6.8, Aristot. Met. 8.4.5.
2 Wife of Deucalion, the Greek Noah.
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