,
"having four million inhabitants."]

A Class, containing two or more Members, is sometimes regarded as _one
single Thing_. When so regarded, it may possess an Adjunct which is
_not_ possessed by any Member of it taken separately.

[Thus, the Class "The soldiers of the Tenth Regiment," when
regarded as _one single Thing_, may possess the Attribute
"formed in square," which is _not_ possessed by any Member of it
taken separately.]

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CHAPTER III.

_DIVISION._

Sec. 1.

_Introductory._

'Division' is a Mental Process, in which we think of a certain Class of
Things, and imagine that we have divided it into two or more smaller
Classes.

[Thus, we might think of the Class "books," and imagine that we
had divided it into the two smaller Classes "bound books" and
"unbound books," or into the three Classes, "books priced at
less than a shilling," "shilling-books," "books priced at more
than a shilling," or into the twenty-six Classes, "books whose
names begin with _A_," "books whose names begin with _B_," &c.]

A Class, that has been obtained by a certain Division, is said to be
'codivisional' with every Class obtained by that Division.

[Thus, the Class "bound books" is codivisional with each of the
two Classes, "bound books" and "unbound books."

Similarly, the Battle of Waterloo may be said to have been
"contemporary" with every event that happened in 1815.]

Hence a Class, obtained by Division, is codivisional with itself.

[Thus, the Class "bound books" is codivisional with itself.

Similarly, the Battle of Waterloo may be said to have been
"contemporary" with itself.]

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Sec. 2.

_Dichotomy._

If we think of a certain Class, and imagine that we have picked out from
it a certain smaller Class, it is evident that the _Remainder_ of the
large Class does _not_ possess the Differentia of that smaller Class.
Hence it may be regarded as _another_ smaller Class, whose Differentia
may be formed, from that of the Class first picked out, by prefixing the
word "not"; and we may imagine that we have _divided_ the Class first
thought of into _two_ smaller Classes, whose Differentiae are
_contradictory_. This kind of Division is called '=Dichotomy='.

[For example, we may divide "books" in