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Steven Pinker -- How the Mind Works - Hampshire High Italian ...

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270 | HOW THE MIND WORKShave dents and wobbles and come in different styles and models. No twosuitcases have identical dimensions, and some have rounded or beefedupcorners and fat or skinny handles. So <strong>the</strong> representation of <strong>the</strong> shapeabout to be matched shouldn't be an exact mold of every hill and valley.It should be couched in forgiving categories like "slab" and "U-shapedthingy." The attachments, too, can't be specified to <strong>the</strong> millimeter buthave to allow for some slop: <strong>the</strong> handles of different cups are all "on <strong>the</strong>side," but <strong>the</strong>y can be a bit higher or lower from cup to cup.The psychologist Irv Biederman has fleshed out Marr's two ideas withan inventory of simple geometric parts that he calls "geons" (by analogyto <strong>the</strong> protons and electrons making up atoms). Here are five geons alongwith some combinations:Biederman proposes twenty-four geons altoge<strong>the</strong>r, including a cone, amegaphone, a football, a tube, a cube, and a piece of elbow macaroni.(Technically, <strong>the</strong>y are all just different kinds of cones. If an ice creamcone is <strong>the</strong> surface swept out by an expanding circle as its center ismoved along a line, geons are <strong>the</strong> surfaces swept out by o<strong>the</strong>r 2-D shapesas <strong>the</strong>y expand or contract while moving along straight or curved lines.)Geons can be assembled into objects with a few attachment relationslike "above," "beside," "end to end," "end to off-center," and "parallel."These relations are defined in a frame of reference centered on <strong>the</strong>object, of course, not <strong>the</strong> visual field; "above" means "above <strong>the</strong> maingeon," not "above <strong>the</strong> fovea." So <strong>the</strong> relations stay <strong>the</strong> same when <strong>the</strong>object or viewer moves.Geons are combinatorial, like grammar. Obviously we don't describeshapes to ourselves in words, but geon assemblies are a kind of internallanguage, a dialect of mentalese. Elements from a fixed vocabulary arefitted toge<strong>the</strong>r into larger structures, like words in a phrase or sentence.A sentence is not <strong>the</strong> sum of its words but depends on <strong>the</strong>ir syntacticarrangement; A man bites a dog is not <strong>the</strong> same as A dog bites a man.Likewise, an object is not <strong>the</strong> sum of its geons but depends on <strong>the</strong>ir spatialarrangement; a cylinder with an elbow on <strong>the</strong> side is a cup, while a

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