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 our space. It can only
be represented by a device analogous to that by which the plane being
represents a cube.
He represents the cube shown above, by taking four square sections and
placing them arbitrarily at convenient distances the one from the other.
So we must represent this higher solid by four cubes: each cube
represents only the beginning of the corresponding higher volume.
It is sufficient for us, then, if we draw four cubes, the first
representing that region in which the figure is of the first kind,
the second that region in which the figure is of the second kind,
and so on. These cubes are the beginnings merely of the respective
regions—they are the trays, as it were, against which the real solids
must be conceived as resting, from which they start. The first one, as
it is the beginning of the region of the first figure, is characterised
by the order of the terms in the premisses being that of the first
figure. The second similarly has the terms of the premisses in the
order of the second figure, and so on.
These cubes are shown below.
For the sake of showing the properties of the method of representation,
not for the logical problem, I will make a digression. I will represent
in space the moods of the minor and of the conclusion and the different
figures, keeping the major always in mood A. Here we have three
variables in different stages, the minor, the conclusion, and the
figure. Let the square of the left-hand side of the original cube be
imagined to be standing by itself, without the solid part of the cube,
represented by (2) fig. 55. The A, E, I, O, which run away represent
the moods of the minor, the A, E, I, O, which run up represent the
moods of the conclusion. The whole square, since it is the beginning
of the region in the major premiss, mood A, is to be considered as in
major premiss, mood A.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account