ess of solving, by this method,
the example worked in Sec. 2.

The Data are

1 2 3 4
k_{1}l'_{0} + dh'_{0} + a_{1}c_{0} + b_{1}e'_{0} +

5 6 7
k'h_{0} + b'l_{0} + d'_{1}c'_{0}

The Reader should take a piece of paper, and write out this
solution for himself. The first line will consist of the above
Data; the second must be composed, bit by bit, according to the
following directions.

We begin by writing down the first Premiss, with its numeral
over it, but omitting the subscripts.

We have now to find a Premiss which can be combined with this,
_i.e._, a Premiss containing either k' or l. The first we find
is No. 5; and this we tack on, with a +.

To get the _Conclusion_ from these, k and k' must be eliminated,
and what remains must be taken as one expression. So we
_underscore_ them, putting a _single_ score under k, and a
_double_ one under k'. The result we read as l'h.

We must now find a Premiss containing either l or h'. Looking
along the row, we fix on No. 2, and tack it on.

Now these 3 Nullities are really equivalent to (l'h + dh'), in
which h and h' must be eliminated, and what remains taken as one
expression. So we _underscore_ them. The result reads as l'd.

We now want a Premiss containing l or d'. No. 6 will do.

These 4 Nullities are really equivalent to (l'd + b'l). So we
underscore l' and l. The result reads as db'.

We now want a Premiss containing d' or b. No. 4 will do.

Here we underscore b' and b. The result reads as de'.

We now want a Premiss containing d' or e. No. 7 will do.

Here we underscore d and d'. The result reads as c'e'.

We now want a Premiss containing c or e. No. 3 will do--in fact
_must_ do, as it is the only one left.

Here we underscore c' and c; and, as the whole thing now reads
as e'a, we tack on e'a_{0} as the _Conclusion_, with a >.

We now look along the row of Data, to see whether e' or a has
been given as _existent_. We find that a has been so given in
No. 3. So we add this fact to the Conclusion, which now stands
as > e'a_{0} + a_{1}, _i.e._ > a_{1}e'_{0}; i.e. "All a are e."

If the Reader has faithfully obeyed the above directions, his
written solution will now stand as follows:--

1 2