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Abbott, Edwin Abbott, 1838-1926

"Flatland: a romance of many dimensions"


"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.


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