The Major declares that all xm must be destroyed; erase it.
Then, as some my′ is to be saved, it must clearly be my′x′. That is, there must exist my′x′; or eliminating m, y′x′. In common phraseology,
‘Some y′ are x′,’ or, ‘Some not-gamblers are not-philosophers.’”
[pg183](5) Solution by my Method of Diagrams.
The first Premiss asserts that no xm exist: so we mark the xm-Compartment as empty, by placing a ‘O’ in each of its Cells.
The second asserts that some my′ exist: so we mark the my′-Compartment as occupied, by placing a ‘I’ in its only available Cell.
The only information, that this gives us as to x and y, is that the x′y′-Compartment is occupied, i.e. that some x′y′ exist.
Hence “Some x′ are y′”: i.e. “Some persons, who are not philosophers, are not gamblers”.
(6) Solution by my Method of Subscripts.