Hinton - The Fourth Dimension.pdf

THE USE OF FOUR DIMENSIONS IN THOUGHT 103
letters I, E, O, in the third wall to the right, the second
wall away, the topmost layer. Now this combination of
premisses in the mood IE, with a conclusion in the mood
O, is not noticed in any book on logic with which I am
familiar. Let us look at it four ourselves, as it seems
that there must be something curious in connection with
this break of continuity in the poiograph.
M
P
S M
M
M
P
M
S M
1st figure. 2nd figure.
P
S
3rd figure. 4th figure.
The propositions I, E in the various figures are the
following, as shown in the accompanying scheme, fig. 58:—
First figure: some M is P; no S is M. Second figure;
some P is M; no S is M. Third figure: some M is P; no
M is S. Fourth figure: some P is M; no M is S.
Examining these figures, we see, taking the first, that
if some M is P, and no S is M, we have no conclusion of
P
M
M
S