Flatland

Definition and stakes

Portrait of Edwin Abbott Abbott Edwin Abbott Abbott,  Flatland (1884)

“ Well, that is just what we see when one of our triangular or other acquaintances comes towards us in Flatland. As there is neither sun with us, nor any light of such a kind as to make shadows, we have none of the helps to the sight that you have in Spaceland. If our friend comes close to us we see his line becomes larger; if he leaves us it becomes smaller: but still he looks like a straight line; be he a Triangle, Square, Pentagon, Hexagon, Circle, what you will—a straight Line he looks and nothing else. ”
Source: Wikisource

Portrait of Edwin Abbott Abbott Edwin Abbott Abbott,  Flatland (1884)

“ Distress not yourself if you cannot at first understand the deeper mysteries of Spaceland. By degrees they will dawn upon you. Let us begin by casting back a glance at the region whence you came. Return with me a while to the plains of Flatland, and I will show you that which you have so often reasoned and thought about, but never seen with the sense of sight—a visible angle. ”
Source: Wikisource

Portrait of Edwin Abbott Abbott Edwin Abbott Abbott,  Flatland: A Romance of Many Dimensions

“ After this, as we floated gently back to Flatland, I could hear the mild voice of my Companion pointing the moral of my vision, and stimulating me to aspire, and to teach others to aspire. He had been angered at first—he confessed—by my ambition to soar to Dimensions above the Third; but, since then, he had received fresh insight, and he was not too proud to acknowledge his error to a Pupil. ”
Source: Gutenberg

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