233 
1878.] On Space of Four Dimensions . 
eines vierdirnensionalen Raumgebietes begrifflich ohne Wi- 
derspruch denkbar, wenn auch nicht anschaulich vorstellbar 
ist.) 
But Kant advances one step further. From the logically 
recognised possibility of the existence of space having more 
than three dimensions, he infers their “very probably real 
existence when he verbally remarks : — 
“ If it is possible that there be developments of other 
dimensions in space, it is also very probable that God 
has somewhere produced them. For His works have 
all the grandeur and variety that can possibly be 
comprised.” 
“ In the foregoing I have shown that several worlds, taken 
in a metaphysical sense, might exist together, but, at 
the same time, here is the condition , which, according 
to my belief, is the only one which makes it probable 
that several such worlds really exist.” — (Kant’s Works, 
vol. v., p. 25.) 
I may further cite the following observations of Kant 
“ I confess I am much inclined to assert the existence of 
immaterial beings in this world, and to class my soul 
itself in the category of these beings.” 
“ We can imagine the possibility of the existence of im- 
material beings without the fear of being refuted, 
though, at the same time, without the hope of being 
able to demonstrate their existence by reason. Such 
spiritual beings would exist in space, and the latter 
notwithstanding would remain penetrable for material 
beings, because their presence would imply an adting 
power in space, but not a filling of it, i.e ., a resistance 
causing solidity.” 
“ It is, therefore, as good as demonstrated, or it could 
easily be proved, if we were to enter into it at some 
length ; or, better still, it will be proved in the future — I 
do not know where and when — that also in this life the 
human sold stands in an indissoluble communion with all 
the immaterial beings of the spiritual world; that it 
produces effects in them , and in exchange receives impres- 
sions from them , without, however , becoming humanly 
conscious of them, so long as all stands well.” 
“ It would be a blessing if such a systematic constitution 
of the spiritual world, as conceived by us, had not 
merely to be inferred from the — too hypothetical- 
conception of the spiritual nature generally, but 
would be inferred, or at least conjectured, as probable 
from some real and generally acknowledged observa- 
tion.”— -(Kant's Works, vol. vii., p. 32.) 
