31.07.2015 Views

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

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

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

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

258 J HOW THE MIND WORKSis not just a reminder that you are not Superman. We mortals could havebeen equipped with a photographic memory that updates a 3-D modelby pasting in information from previous views wherever it belongs. Butwe were not so equipped. When it comes to rich visual detail, out ofsight is out of mind.Third, we see in perspective. When you stand between railroad tracks,<strong>the</strong>y seem to converge toward <strong>the</strong> horizon. Of course you know <strong>the</strong>y donot really converge; if <strong>the</strong>y did, <strong>the</strong> train would derail. But it's impossiblenot to see <strong>the</strong>m as converging, even though your sense of depth providesplenty of information that your brain could use to cancel <strong>the</strong> effect. Wealso are aware that moving objects loom, shrink, and foreshorten. In agenuine scale model, none of this can happen. To be sure, <strong>the</strong> visual systemeliminates perspective to a certain degree. People o<strong>the</strong>r than artistshave trouble seeing that <strong>the</strong> near corner of a desk projects an acute angleand <strong>the</strong> far corner an obtuse angle; both look like <strong>the</strong> right angles <strong>the</strong>y arein reality. But <strong>the</strong> railroad tracks show that perspective is not completelyeliminated.Fourth, in a strict geometric sense we see in two dimensions, notthree. The ma<strong>the</strong>matician Henri Poincare came up with an easy way todetermine <strong>the</strong> number of dimensions of some entity. Find an object thatcan divide <strong>the</strong> entity into two pieces, <strong>the</strong>n count <strong>the</strong> dimensions of <strong>the</strong>divider and add one. A point cannot be divided at all; <strong>the</strong>refore, it has zerodimensions. A line has one dimension, because it can be severed by apoint. A plane has two dimensions, because it can be rent by a line,though not by a point. A sphere has three, because nothing less than atwo-dimensional blade can cleave it; a pellet or a needle leaves it whole.What about <strong>the</strong> visual field? It can be sundered by a line. The horizon, forexample, divides <strong>the</strong> visual field in two. When we stand in front of a tautcable, everything we see is on one side or <strong>the</strong> o<strong>the</strong>r. The perimeter of around table also partitions <strong>the</strong> visual field: every point is ei<strong>the</strong>r within it oroutside. Add one to <strong>the</strong> one-dimensionality of a line, and you get two. Bythis criterion, <strong>the</strong> visual field is two-dimensional. Incidentally, this doesnot mean that <strong>the</strong> visual field is flat. Two-dimensional surfaces can becurved in <strong>the</strong> third dimension, like a rubber mold or a blister package.Fifth, we don't immediately see "objects," <strong>the</strong> movable hunks of matterthat we count, classify, and label with nouns. As far as vision is concerned,it's not even clear what an object is. When David Marrconsidered how to design a computer vision system that finds objects, hewas forced to ask:

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!