which, translated into concrete form, is "No son of mine fails to be treated with respect". (2) "All cats understand French; Some chickens are cats". Taking "creatures" as Univ., we write these as follows:-- "All cats are creatures understanding French; Some chickens are cats". We can now construct our Dictionary, viz. m = cats; x = understanding French; y = chickens. The proposed Premisses, translated into abstract form, are "All m are x; Some y are m". In order to represent these on a Triliteral Diagram, we break up the first into the two Propositions to which it is equivalent, and thus get the _three_ Propositions (1) "Some m are x; (2) No m are x'; (3) Some y are m". The Rule, given at p. 50, would make us take these in the order 2, 1, 3. This, however, would produce the result ·-----------------· | | | | ·----|----· | | |(I)(I) | | | |----|----| | | |(O) | (O)| | | ·----|----· | | | | ·-----------------· pg062 So it would be better to take them in the order 2, 3, 1. Nos. (2) and (3) give us the result here shown; and now we need not trouble about No. (1), as the Proposition "Some m are x" is _already_ represented on the Diagram. ·---------------· | | | | ·---|---· | | |(I)| | | |---|---|---|---| | |(O)|(O)| | | ·---|---· | | | | ·---------------· Transferring our information to a Biliteral Diagram, we get ·-------· |(I)| | |---|---| | | | ·-------· This result we can read either as "Some x are y" or "Some y are x". After consulting our Dictionary, we choose "Some y are x", which, translated into concrete form, is "Some chickens understand French." (3) "All diligent students are successful; All ignorant students are unsuccessful". Let Univ. be "students"; m = successful; x = diligent; y = ignorant. These Premisses, in abstract form, are "All x are m; All y are m'". These, broken up, give us the four Propositions (1) "Some x are m; (2) No x are m'; (3) Some y are m'; (4) No y are m". which we will take in the order 2, 4, 1, 3. Representing these on a Triliteral Diagram, we get ·---------------· |(O) | (O)| | ·---|---· | | |(O)|(I)| | |---|---|---|---| | |(O)| | | | ·---|---· | |(I) | | ·---------------· And this information, transferred to a Biliteral Diagram, is