Six Walks in the Fictional Woods by Umberto Eco

Author:Umberto Eco [Eco, Umberto]
Language: eng
Format: epub
ISBN: 0674810503
Publisher: Harvard University Press
Published: 1998-07-21T00:00:00+00:00

Imagine a vast sheet of paper on which straight Lines, Triangles, Squares, Pentagons, Hexagons, and other figures, instead of remaining fixed in their places, move freely about, on or in the surface, but without the power of rising above or sinking below it, very much like shadows—only hard and with luminous edges—and you will then have a pretty correct notion of my country and countrymen.

If we looked at this two-dimensional world from above, as we look at the figures of Euclid in a geometry book, we would be able to recognize its inhabitants. But for the dwellers in Flatland, the notion of “above” doesn’t exist, because it’s a concept that requires the third dimension. So the Flatlanders can’t recognize one another by sight.

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