The fourth dimension

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 feriogue [prioris]. Caesare Camestris Festino Baroko [secundae]. [Tertia] darapti disamis datisi felapton.

Bokardo ferisson abet [Quarta insuper addit]. Bramantip camenes dimaris ferapton fresison.

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 mood. Thus (prioris)—of the first figure—the first mnemonic word is “parbara,” and this gives major premiss, mood 4; minor premiss, mood A; conclusion, mood A. Accordingly in the rst of our four cubes we mark the lowest left-hand front eube. Totake another instance in the third figure “ Tertia,” the word “ferisson ” gives us major premiss mood E—.9., no M is P, minor premiss mood I; some M is S, conclusion, mood 0; some S is not P. The region to be marked then