g both premises, the course pursued with
Fesapo and Fresison. It may suffice to illustrate by the case of
Bramantip:
Bramantip. Barbara.
All P is M; ----------\ /------> All M is S;
\/
/\
All M is S: ----------/ \------> All P is M:
convert per acc.
.'. Some S is P. <----------------------- .'. All P is S.
This case shows that a final significant consonant (s, p, or sk) in the
name of any Mood refers to the conclusion of the new syllogism in the
First Figure; since p in Bramantip cannot refer to that Mood's own
conclusion in I.; which, being already particular, cannot be converted
_per accidens_.
Finally, in Fig. I., Darii and Ferio differ respectively from Barbara
and Celarent only in this, that their minor premises, and consequently
their conclusions, are subaltern to the corresponding propositions of
the universal Moods; a difference which seems insufficient to give them
rank as distinct forms of demonstration. And as for Barbara and
Celarent, they are easily reducible to one another by obverting their
major premises and the new conclusions, thus:
Barbara. Celarent.
obv.
All M is P; -----------------------> No M is p (not-P);
All S is M: -----------------------> All S is M:
obv.
.'. All S is P. <------------------- .'. No S is p (not-P).
There is, then, only one fundamental syllogism.
Sec. 7. A new version of the mnemonic lines was suggested in _Mind_ No. 27,
with the object of (1) freeing them from all meaningless letters, (2)
showing by the name of each Mood the Figure to which it belongs, (3)
giving names to indicate the ostensive reduction of Baroco and Bocardo.
To obtain the first two objects, _l_ is used as the mark of Fig. I., _n_
of Fig II., _r_ of Fig. III., _t_ of Fig. IV. The verses (to be scanned
discreetly) are as follows:
Balala, Celalel, Dalii, Felioque prioris:
{Faksnoko}
Cesane, Camenes, Fesinon, { } secundae:
{ Banoco,}
Tertia, Darapri, Drisamis, Darisi, Ferapro,
Doksamrosk}
}, Ferisor habet: Quarta insuper addit.
Bocaro }
Bamatip, Cametes, Dimatis, Fesapto, Fesistot.
De Morgan praised the old verses as "more full of meaning than any
others that ever were made
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