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Posted by: stak
Posted on: 2008-09-17 22:27:06
If you have a point, you probably won't even realize it's just a point. It just is, because that's all you have, and you have nothing to compare it to. But then, if you encounter a second point, you realize that what you had was a point too. If you think about it a bit, you can figure out the variable that distinguishes the two points, and from that extrapolate a line full of points.
But then you have a line, and probably won't even realize it's just a line. Sure, you could come across some other point or line and extrapolate a plane, but is it possible to extrapolate the plane from just those two initial points? What about 3-D space? And if it's possible, how much meta-thought does it take to do that?
Mmmm... going meta. Oh so confusing, and yet oh so fun.
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I think you could if you can easily find another variable that could be different, but that happens to be the same in your 2 points. But I think you'd have to be aware of the existence of 3d space in a different set of points/lines.