we can substitute in (1) obtaining the conclusion
A = Ac.
But the same result may be obtained by taking the eight combinations of A, B, C, of the Logical Alphabet; it will be found that only three combinations, namely,
Abc
aBC
abc,
are consistent with the premises, whence it results that
A = Abc,
or by the process of Ellipsis before described (p. [57])
A = Ac.
Third Example.
As a somewhat more complex example I take the argument thus stated, one which could not be thrown into the syllogistic form:—