three combinations, namely,
are consistent with the premises, whence it results that
or by the process of Ellipsis before described (p. 57)
Third Example.
As a somewhat more complex example I take the argument thus stated, one which could not be thrown into the syllogistic form:—
There is more implied in this statement than is distinctly asserted, the full meaning being as follows:
| All metals not gold or silver are opaque, | (1) |
|---|---|
| Gold is not opaque but is a metal, | (2) |
| Silver is not opaque but is a metal, | (3) |
| Gold is not silver. | (4) |
Taking our letters thus—
| A = metal | C = silver |
|---|---|
| B = gold | D = opaque, |
we may state the premises in the forms
| A bc | = A bc D | (1) |
|---|---|---|
| B | = AB d | (2) |
| C | = AC d | (3) |
| B | = B c . | (4) |
To obtain a complete solution of the question we take the sixteen combinations of A, B, C, D, and striking out those which are inconsistent with