iminands with an Entity-Premiss.
(3) Fallacy of two Entity-Premisses.

These shall be discussed separately, and it will be seen that each fails
to yield a Conclusion.

(1) _Fallacy of Like Eliminands not asserted to exist._

It is evident that neither of the given Propositions can be an _Entity_,
since that kind asserts the _existence_ of both of its Terms (see p.
20). Hence they must both be _Nullities_.

Hence the given Pair may be represented by (xm_{0} + ym_{0}), with or
without x_{1}, y_{1}.

These, set out on Triliteral Diagrams, are

xm_{0} + ym_{0} x_{1}m_{0} + ym_{0}
.---------------. .---------------.
| | | | (I) |
| .---|---. | | .---|---. |
| |(O)|(O)| | | |(O)|(O)| |
|---|---|---|---| |---|---|---|---|
| |(O)| | | | |(O)| | |
| .---|---. | | .---|---. |
| | | | | |
.---------------. .---------------.

xm_{0} + y_{1}m_{0} x_{1}m_{0} + y_{1}m_{0}
.---------------. .---------------.
| | | | (I) |
| .---|---. | | .---|---. |
| |(O)|(O)| | | |(O)|(O)| |
|(I)|---|---|---| |(I)|---|---|---|
| |(O)| | | | |(O)| | |
| .---|---. | | .---|---. |
| | | | | |
.---------------. .---------------.
pg083
(2) _Fallacy of Unlike Eliminands with an Entity-Premiss._

Here the given Pair may be represented by (xm_{0} + ym'_{1}) with or
without x_{1} or m_{1}.

These, set out on Triliteral Diagrams, are

xm_{0} + ym'_{1} x_{1}m_{0} + ym'_{1} m_{1}x_{0} + ym'_{1}
.---------------. .---------------. .---------------.
| | | | (I) | | | |
| .---|---. | | .---|---. | | .---|---. |
| |(O)|(O)| | | |(O)|(O)| | | |(O)|(O)| |
|(I)|---|---|---| |(I)|---|---|---| |(I)|---|---|---|
| | | | | | | | | | | | (I) | |
| .---|---. | | .---|---. | | .---|---. |
| | | | | | | | |
.---------------. .---------------. .-------------