SYMBOLS AND CELLS.
First, let us suppose that the above left-hand Diagram is the Biliteral Diagram that we have been using in Book III., and that we change it into a Triliteral Diagram by drawing an Inner Square, so as to divide each of its 4 Cells into 2 portions, thus making 8 Cells altogether. The right-hand Diagram shows the result.
Thirdly, let us suppose that we have subdivided the xy'-Class, the x'y-Class, and the x'y'-Class in the same manner, and have, in each case, assigned the Inner Cell to the Class possessing the Attribute m, and the Outer Cell to the Class possessing the Attribute m'.
It is evident that we have now assigned the Inner Square to the m-Class, and the Outer Border to the m'-Class.
When the Reader has made himself familiar with this Diagram, he ought to be able to find, in a moment, the Compartment assigned to a particular pair of Attributes, or the Cell assigned to a particular trio of Attributes. The following Rules will help him in doing this:--
(1) Arrange the Attributes in the order x, y, m. pg041 (2) Take the first of them and find the Compartment assigned to it.
(3) Then take the second, and find what portion of that compartment is assigned to it.
(4) Treat the third, if there is one, in the same way.
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 | Compartments, or Cells, assigned | | Classes. | to them. | |----------|------------------------------------| | x | North Half. | | x' | South " | | y | West " | | y' | East " | | m | Inner Square. | | m' | Outer Border. | |----------|------------------------------------| | xy | North-West Quarter. | | xy' | " East " | | x'y | South-West " | | x'y' | " East " | | xm | North Half, Inner Portion. | | xm' | " " Outer " | | x'm | South " Inner " | | x'm' | " " Outer " | | ym | West " Inner " | | ym' | " " Outer " | | y'm | East " Inner " | | y'm' | " " Outer " | |----------|------------------------------------| | xym | North-West Quarter, Inner Portion. | | 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
Symbolic Logic · The Wunder Library — complete classics, free to read, with narration.