The fourth dimension

THE USE OF FOUR DIMENSIONS IN THOUGHT 91

There are four moods :1, The universal affirmative; all M is P, called mood A. 2. The universal negative ; no M is P, mood E. 3. The particular affirmative; some M is P, mood I. 4, The particular negative; some M is not P, mood 0. The dotted lines in 3 and 4, fig. 50, denote that it is not known whether or no any objects exist, corresponding

Fig. 50.

to the space of which the dotted line forms one delimiting boundary ; thus, in mood I we do not know if there are any M’s which are not P, we only know some M’s are P. Representing the first premiss in its various moods by fe) regions marked by vertical lines to the right of pa, we have in fig. 51, running up from the four letters AEIO, four columns, each of which indicates that the major premiss is in the mood R-PAE TOS denoted by the respective letter. In Fig. 51. the first column to the right of Pe is the mood A. Now above the line rs let there be marked off four regions corresponding to the four moods of the minor premiss. Thus, in the first row above RS all the region between RS and the first horizontal line above it denotes that the minor premiss is in the mood 4, The

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