Comment by TeMPOraL
2 years ago
I usually phrase it as arguing parties discussing a high-dimensional idea by projecting it down to a much lower dimensional space, and if they can't seem to agree, it means they're projecting to widely different bases - considering different aspects.
Visual analogy: take a cylinder floating in the middle of the room, and a single light source you move around. As you move the light around, it'll cast shadows of very different shapes. This is merely projecting a 3D object to 2D, but if all anyone in the argument has is a single snapshot of a shadow, you could see how a person seeing a circle might have trouble agreeing with a person seeing a rectangle - and yet they're still talking about the same thing.
(The biggest hurdle is to get people to realize their view on a topic is a low-dimensional projection of a high-dimensional thing, and not just the thing - and that to do something productive with it, one must be willing to "walk around" a bit, project to different bases.)
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