[For example, we may think of the Class "towns," and imagine
that we have picked out from it all the towns which possess the
Attribute "lit with gas"; and we may thus form the Real Class
"towns lit with gas." Here we may regard "Towns" as a _Genus_,
"Towns lit with gas" as a _Species_ of Towns, and "lit with gas"
as its _Differentia_.
If, in the above example, we were to alter "lit with gas" into
"paved with gold," we should get the _Imaginary_ Class "towns
paved with gold."]
A Class, containing only _one_ Member is called an '=Individual=.'
[For example, the Class "towns having four million inhabitants,"
which Class contains only _one_ Member, viz. "London."]
pg002½
Hence, any single Thing, which we can name so as to distinguish it from
all other Things, may be regarded as a one-Member Class.
[Thus "London" may be regarded as the one-Member Class, picked
out from the Class "towns," which has, as its Differentia,
"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.]
pg003
CHAPTER III.
_DIVISION._
§ 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.]
pg003½
§ 2.
_Dichotomy._
Public-domain text, read in full here on John Shaqi.
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