He can then read off, from the Biliteral Diagram, the required Propositions.
Quarter of the Biliteral Diagram with a “O”. pg054(4) Deal in the same way with the N.E., the S.W., and the S.E.
This proof was given, in the earlier editions, incidentally, in the course of the discussion of the Biliteral Diagram: but its proper place, in this treatise, is where I have now introduced it.
First, let us suppose that the above left-hand Diagram is the Biliteral Diagram that we have been using in Book III., and that we change it into a Triliteral Diagram by drawing an Inner Square, so as to divide each of its 4 Cells into 2 portions, thus making 8 Cells altogether.
When each of the proposed Premisses is a Proposition in I, or E, or A, (the only kinds with which we are now concerned,) the Fallacy may be detected by the ‘Method of Diagrams,’ by simply setting them out on a Triliteral Diagram, and observing that they yield no information which can be transferred to the Biliteral Diagram.
When a Set of three or more Biliteral Propositions are such that all their Terms are Species of the same Genus, and are also so related that two of them, taken together, yield a Conclusion, which, taken with another of them, yields another Conclusion, and so on, until all have been taken, it is evident that, if the original Set were true, the last Conclusion would also be true.
Biliteral
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When a Set of three or more Biliteral Propositions are such that all their Terms are Species of the same Genus and are also so related that two of them taken together yield a Conclusion which taken with another of them yields another Conclusion and so on until all have been taken it is evident that if the original Set were true the last Conclusion would also be true