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Yeah, but they were saying in math related contexts, in which orthogonal is almost equivalent to perpendicular.
by taoistextremist 8y ago
Yeah, but they were saying in math related contexts, in which orthogonal is almost equivalent to perpendicular.
- vishnugupta 8y agoI believe even in the context of mathematics orthogonal means independence. I.e., one can move along x and y axis without having y or x value being changed. However if you move along any line that's not parallel to x or y axis then both x and y value change simultaneously. That's how I interpret orthogonality in the context of math anyway.
- Maybestring 8y ago>However if you move along any line that's not parallel to x or y axis then both x and y value change simultaneously. A third orthogonal axis is neither parallel to x and y, nor do x and y vary as you move along it. Replace parallel with linearly indepent, and you are spot on.
- romwell 8y agoNo need to replace anything; the implicit assumption is a 2D space.
- Maybestring 8y agoThen you can only talk about two concepts. I would like to be able to say, intelligence, morality, and obesity are mutually orthogonal. If your model is 2D, then you are requiring a relationship between at least two of them.
- romwell 8y agoThe example was in 2D. The reader is able to generalize from there, we hope, no? :)
- Maybestring 8y agoAs long as you don't rely on concepts that don't generalize to higher dimensions. To the extent that you use concepts that don't generalize in your example, you are using a poor example.
- Maybestring 8y agoThat's the idea, and these ideas do intersect. Rate your belief in them on a scale of 0..1. if your rating was (0,0) you are at the intersection.