_ This objection is plausible,
and, to Spacelanders, almost irresistible, so that, I confess, when I
first heard it, I knew not what to reply. But my poor old friend's
answer appears to me completely to meet it.
"I admit," said he -- when I mentioned to him this objection -- "I
admit the truth of your critic's facts, but I deny his conclusions.
It is true that we have really in Flatland a Third unrecognized
Dimension called 'height,' just as it also is true that you have
really in Spaceland a Fourth unrecognized Dimension, called by no name
at present, but which I will call 'extra-height.' But we can no more
take cognizance of our 'height' than you can of your 'extra-height.'
Even I -- who have been in Spaceland, and have had the privilege of
understanding for twenty-four hours the meaning of 'height' -- even I
cannot now comprehend it, nor realize it by the sense of sight or by
any process of reason; I can but apprehend it by faith.
"The reason is obvious. Dimension implied direction, implies
measurement, implies the more and the less.
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