[For example, suppose we have to find the Compartment assigned to ym. We say to ourselves “y has the West Half; and m has the Inner portion of that West Half.”

Again, suppose we have to find the Cell assigned to x′ym′. We say to ourselves “x′ has the South Half; y has the West portion of that South Half, i.e. has the South-West Quarter; and m′ has the Outer portion of that South-West Quarter.”]

The Reader should now get his genial friend to question him on the Table given on the next page, in the style of the following specimen-Dialogue.

Q. Adjunct for South Half, Inner Portion?
A. x′m.
Q. Compartment for m′?
A. The Outer Border.
Q. Adjunct for North-East Quarter, Outer Portion?
A. xy′m′.
Q. Compartment for ym?
A. West Half, Inner Portion.
Q. Adjunct for South Half?
A. x′.
Q. Compartment for x′y′m?
A. South-East Quarter, Inner Portion.
&c. &c.

[pg042]TABLE IV.
Adjunct
of
Classes. 		Compartments,
or Cells,
assigned to them.
x NorthHalf.
x′ South〃
y West〃
y′ East〃
m InnerSquare.
m′ OuterBorder.
xy North-WestQuarter.
xy′〃East〃
x′y South-West〃
x′y′〃East〃
xm NorthHalf,InnerPortion.
xm′〃〃 Outer〃
x′m South〃 Inner〃
x′m′〃〃 Outer〃
ym West〃 Inner〃
ym′〃〃 Outer〃
y′m East〃 Inner〃
y′m′〃 〃 Outer〃
xym North-WestQuarter, InnerPortion.
xym′〃〃 〃 Outer〃
xy′m〃East〃 Inner〃
xy′m′〃〃 〃 Outer〃
x′ym South-West〃 Inner〃
x′ym′〃〃 〃 Outer〃
x′y′m〃East〃 Inner〃
x′y′m′〃〃 〃 Outer〃

[pg043]CHAPTER II.

REPRESENTATION OF PROPOSITIONS IN TERMS OF x AND m, OR OF y AND m.
§ 1.
Representation of Propositions of Existence in terms of x and m, or of y and m.

Let us take, first, the Proposition “Some xm exist”.

[Note that the full meaning of this Proposition is (as explained at [p. 12]) “Some existing Things are xm-Things”.]