The fourth dimension

THE USE OF FOUR DIMENSIONS IN THOUGHT 97

which the remaining variables run through their full range of varieties.

Now, if we want to measure in respect of the moods of the major premiss, we must let the minor premiss, the conclusion, run through their range, and also the order of the terms. That is we must take as basis of measurement in respect to the moods of the major that which represents the variation of the moods of the minor, the conclusion and the variation of the figures.

Now the variation of the moods of the minor and of the conclusion are represented in the square face on the left of the cube. Here are all varieties of the minor premiss and the conclusion. The varieties of the figures are represented by stages in a motion proceeding at right angles to all space directions, at right angles consequently to the face in question, the left-hand face of the cube.

Consequently letting the left-hand face move in this direction we get a cube, and in this cube all the varieties of the minor premiss, the conclusion, and the figure are represented.

Thus another cubic base of measurement is given to the cube, generated by movement of the left-hand square in the fourth dimension.

We find the other bases in a similar manner, one is the cube generated by the front square moved in the fourth dimension so as to generate a cube. From this cube variations in the mood of the minor are measured. The fourth base is that found by moving the bottom square of the cube in the fourth dimension. In this cube the variations of the major, the minor, and the figure are given. Considering this as a basis in the four stages proceeding from it, the variation in the moods of the conclusion are given.

Any one of these cubic bases can be represented in space, and then the higher solid generated from them lies out of

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