Finally, for ten letters, I arrange 4 Octoliteral Diagrams, like the above, in a square, assigning them to the 4 Classes mn, mn′, m′n, m′n′. We have now got 1024 Cells.
[§ 8.]
Solution of a Syllogism by various Methods.
The best way, I think, to exhibit the differences between these various Methods of solving Syllogisms, will be to take a concrete example, and solve it by each Method in turn. Let us take, as our example, [No. 29] (see [p. 102]).
“No philosophers are conceited;
Some conceited persons are not gamblers.
∴ Some persons, who are not gamblers, are not philosophers.”
[pg180](1) Solution by ordinary Method.
These Premisses, as they stand, will give no Conclusion, as they are both negative.
If by ‘Permutation’ or ‘Obversion’, we write the Minor Premiss thus,
‘Some conceited persons are not-gamblers,’