Flatland: A Romance of Many DimensionsAbbott, Edwin Abbott
Science
Flatland: A Romance of Many Dimensions
Abbott, Edwin Abbott
Fourth dimension
“Does this still seem strange to you? Then put yourself in a similar
position. Suppose a person of the Fourth Dimension, condescending to
visit you, were to say, ‘Whenever you open your eyes, you see a Plane
(which is of Two Dimensions) and you _infer_ a Solid (which is of
Three); but in reality you also see (though you do not recognize) a
Fourth Dimension, which is not colour nor brightness nor anything of
the kind, but a true Dimension, although I cannot point out to you its
direction, nor can you possibly measure it.’ What would you say to such
a visitor? Would not you have him locked up? Well, that is my fate: and
it is as natural for us Flatlanders to lock up a Square for preaching
the Third Dimension, as it is for you Spacelanders to lock up a Cube
for preaching the Fourth. Alas, how strong a family likeness runs
through blind and persecuting humanity in all Dimensions! Points,
Lines, Squares, Cubes, Extra-Cubes—we are all liable to the same
errors, all alike the Slaves of our respective Dimensional prejudices,
as one of our Spaceland poets has said—
‘One touch of Nature makes all worlds akin.’”[1]
[1] The Author desires me to add, that the misconceptions of some of
his critics on this matter has induced him to insert (on pp. 74 and
92) in his dialogue with the Sphere, certain remarks which have a
bearing on the point in question and which he had previously omitted
as being tedious and unnecessary.
On this point the defence of the Square seems to me to be impregnable.
I wish I could say that his answer to the second (or moral) objection
was equally clear and cogent. It has been objected that he is a
woman-hater; and as this objection has been vehemently urged by those
whom Nature’s decree has constituted the somewhat larger half of the
Spaceland race, I should like to remove it, so far as I can honestly do
so. But the Square is so unaccustomed to the use of the moral
terminology of Spaceland that I should be doing him an injustice if I
were literally to transcribe his defence against this charge. Acting,
therefore, as his interpreter and summarizer, I gather that in the
course of an imprisonment of seven years he has himself modified his
own personal views, both as regards Women and as regards the Isosceles
or Lower Classes. Personally, he now inclines to the opinion of the
Sphere (see page 86) that the Straight Lines are in many important
respects superior to the Circles. But, writing as a Historian, he has
identified himself (perhaps too closely) with the views generally
adopted by Flatland, and (as he has been informed) even by Spaceland,
Historians; in whose pages (until very recent times) the destinies of
Women and of the masses of mankind have seldom been deemed worthy of
mention and never of careful consideration.
Public-domain text, read in full here on John Shaqi.
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