Scientific Romances (First Series)Hinton, Charles Howard
Philosophy
Scientific Romances (First Series)
Hinton, Charles Howard
Fourth dimension
At length I came to find that the only thing I could know was of this
kind. If, for instance, there were several people in a room, I could not
know them themselves, for they were too infinitely complicated for my
mind to grasp; but I could know if they were at right or left hand of
one another, close together, or far apart. And the same of, to take
another instance, botanical specimens in a book. I could not grasp the
specimens—each was too infinitely complicated, and each part too
infinitely complex—but I could tell which specimen was next which.
Accordingly, being desirous to learn something thoroughly, and since, in
the arrangement of any different objects, there was such a lot of
ignorance introduced by the objects being different—each bringing in its
own ignorance and feeling of bewilderment—I determined to learn an
arrangement of a number of objects as much alike as possible.
Accordingly I took a number of cubes, which were as simple objects as I
could get, arranged them in a large block, and proceeded to learn how
they were placed with regard to each other. In order to learn them I
gave each of them a name. The name meant the particular cube in the
particular position.
Thus, taking any three names, I could say, about the three cubes
denoted, how they were placed with regard to one another: one, say,
would be straight above the first with four intervening, the third would
touch the second on the right hand, or some similar arrangement.
Now in this way I got what I conceived to be knowledge. It was of no use
or beauty apparently, but I had no reason to use it or to show it.
It is about this bit of knowledge that I want to speak now—a block of
cubes, and the cubes are known each one where it is.
Sometimes I have been tempted to call this absolute knowledge, but have
been reminded that I did not know the cube itself. Against this I have
argued. But in argument we say many things which we do not understand,
and my conclusion is, on the whole, that the objection is well founded.
Still, if not knowledge absolute, the knowledge of this block approaches
more nearly to knowledge absolute than any other with which I am
acquainted, because each cube is the same as its neighbour, and instead
of an arrangement of all sorts of diverse ignorances we have only one
kind of ignorance—that of the cube. Each of the cubes was an inch each
way, and I learnt a cubic yard of them. That is to say, when the name of
any cube was said, I could tell at once those which it lay next to; and
if a set of names were said, I could tell at once what shape composed of
cubes was denoted. There were 216 primary names, and these, taken in
pairs, were enough to name the cubic yard.
Public-domain text, read in full here on John Shaqi.
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