Hinton - The Fourth Dimension.pdf

THE USE OF FOUR DIMENSIONS IN THOUGHT 101
Now it is only a limited number of conclusions which
are true—their truth depends on the particular combinations
of the premisses and figures which they accompany.
The total figure thus represented may be called the
universe of thought in respect to these four constituents,
and out of the universe of possibly existing combinations
it is the province of logic to select those which correspond
to the results of our reasoning faculties.
We can go over each of the premisses in each of the
moods, and find out what conclusion logically follows.
But this is done in the works on logic; most simply and
clearly I believe in “Jevon’s Logic.” As we are only concerned
with a formal presentation of the results we will
make use of the mnemonic lines printed below, in which
the words enclosed in brackets refer to the figures, and
are not significative:—
Barbara celarent Darii ferioque [prioris]
Cesare Camestres Festino Baroco [secundæ].
[Tertia] darapti disamis datisi felapton
Bocardo ferison habet [Quarta insuper addit].
Bramantip camenes dimaris fesapo fresinon.
In these lines each significative word has three vowels,
the first vowel refers to the major premiss, and gives the
mood of that premiss, “a” signifying, for instance, that
the major mood is in mood a. The second vowel refers
to the minor premiss, and gives its mood. The third
vowel refers to the conclusion, and gives its moon. Thus
(prioris)—of the first figure—the first mnemonic word is
“barbara,” and this gives major premiss, mood A; minor
premiss, mood A; conclusion, mood A. Accordingly in the
first of our four cubes we mark the lowest left-hand front
cube. To take another instance in the third figure “Tertia,”
the word “ferison” gives us major premiss mood E—e.g.,
no M is P, minor premiss mood I; some M is S, conclusion,
mood O; some S is not P. The region to be marked then