Flatland by Edwin A. Abbott (books to read to get smarter TXT) ๐
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Flatland is uniquely both a social critique and a primer on multi-dimensional geometry. Written in two parts in 1884 by Edwin A. Abbott, an English mathematician and theologian, it tells the story of a square living in Flatland: a two-dimensional realm. After a dream of a restrictive one-dimensional existence and the difficulties this poses, he is visited by a sphere from a three-dimensional space who wishes to enlighten him into the ways of โUpward, yet not Northward.โ
Edwin A. Abbott wrote other theological fiction and non-fiction (including several biographies), but he is best remembered for Flatland. While it was mostly forgotten after publication, it received a revived interest from the 1960s onwards, and has more recently had several sequels and film adaptations. This edition of is based on the second published edition and includes its preface, which in part attempts to address some of the contemporary accusations of misogyny.
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- Author: Edwin A. Abbott
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It is from these specimens of the refuse of our nobility that the great tumults and seditions of past ages have generally derived their leaders; and so great is the mischief thence arising that an increasing minority of our more progressive statesmen are of opinion that true mercy would dictate their entire suppression, by enacting that all who fail to pass the Final Examination of the University should be either imprisoned for life, or extinguished by a painless death.
But I find myself digressing into the subject of Irregularities, a matter of such vital interest that it demands a separate section.
VII Concerning Irregular FiguresThroughout the previous pages I have been assumingโ โwhat perhaps should have been laid down at the beginning as a distinct and fundamental propositionโ โthat every human being in Flatland is a Regular Figure, that is to say of regular construction. By this I mean that a woman must not only be a line, but a straight line; that an artisan or soldier must have two of his sides equal; that tradesmen must have three sides equal; Lawyers (of which class I am a humble member), four sides equal, and generally, that in every Polygon, all the sides must be equal.
The size of the sides would of course depend upon the age of the individual. A female at birth would be about an inch long, while a tall adult woman might extend to a foot. As to the males of every class, it may be roughly said that the length of an adultโs sides, when added together, is two feet or a little more. But the size of our sides is not under consideration. I am speaking of the equality of sides, and it does not need much reflection to see that the whole of the social life in Flatland rests upon the fundamental fact that Nature wills all Figures to have their sides equal.
If our sides were unequal our angles might be unequal. Instead of its being sufficient to feel, or estimate by sight, a single angle in order to determine the form of an individual, it would be necessary to ascertain each angle by the experiment of Feeling. But life would be too short for such a tedious grouping. The whole science and art of Sight Recognition would at once perish; Feeling, so far as it is an art, would not long survive; intercourse would become perilous or impossible; there would be an end to all confidence, all forethought; no one would be safe in making the most simple social arrangements; in a word, civilization would relapse into barbarism.
Am I going too fast to carry my readers with me to these obvious conclusions? Surely a momentโs reflection, and a single instance from common life, must convince everyone that our whole social system is based upon Regularity, or Equality of Angles. You meet, for example, two or three tradesmen in the street, whom you recognize at once to be tradesmen by a glance at their angles and rapidly bedimmed sides, and you ask them to step into your house to lunch. This you do at present with perfect confidence, because everyone knows to an inch or two the area occupied by an adult Triangle: but imagine that your tradesman drags behind his regular and respectable vertex, a parallelogram of twelve or thirteen inches in diagonal:โ โwhat are you to do with such a monster sticking fast in your house door?
But I am insulting the intelligence of my readers by accumulating details which must be patent to everyone who enjoys the advantages of a residence in Spaceland. Obviously the measurements of a single angle would no longer be sufficient under such portentous circumstances; oneโs whole life would be taken up in feeling or surveying the perimeter of oneโs acquaintances. Already the difficulties of avoiding a collision in a crowd are enough to tax the sagacity of even a well-educated Square; but if no one could calculate the Regularity of a single Figure in the company, all would be chaos and confusion, and the slightest panic would cause serious injuries, orโ โif there happened to be any women or soldiers presentโ โperhaps considerable loss of life.
Expediency therefore concurs with Nature in stamping the seal of its approval upon Regularity of conformation: nor has the law been backward in seconding their efforts. โIrregularity of Figureโ means with us the same as, or more than, a combination of moral obliquity and criminality with you, and is treated accordingly. There are not wanting, it is true, some promulgators of paradoxes who maintain that there is no necessary connection between geometrical and moral Irregularity. โThe Irregular,โ they say, โis from his birth scouted by his own parents, derided by his brothers and sisters, neglected by the domestics, scorned and suspected by society, and excluded from all posts of responsibility, trust, and useful activity. His every movement is jealously watched by the police till he comes of age and presents himself for inspection; then he is either destroyed, if he is found to exceed the fixed margin of deviation, or else immured in a Government Office as a clerk of the seventh class; prevented from marriage; forced to drudge at an uninteresting occupation for a miserable stipend; obliged to live and board at the office, and to take even his vacation under close supervision; what wonder that human nature, even in the best and purest, is embittered and perverted by such surroundings!โ
All this very plausible reasoning does not convince me, as it has not convinced the wisest of our statesmen, that our ancestors erred in laying it down as an axiom of policy that the toleration of Irregularity is incompatible with the safety of the State. Doubtless, the life of an Irregular is hard; but the interests of the greater number require that it shall be hard. If a man with a triangular front and a polygonal back were allowed to exist and to propagate
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