this post was submitted on 20 Jun 2024
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Not exactly orthogonal, left right could be viewed as an Principal Component Analysis reduced to only one axis. So there are correlations between stances but so much dimensions lost that it's nearly useless
Two dimensions is 100% better than one.
That's not true at all, mathematically. That's why we have a measurement for co-variance or correlation. If two dimensions are 100 correlation, they can most definitely be reduced to one.
...but they're not in 100 percent correlation in this case, and you're naive if you think they are .
I agree and three dimensions is 100% better than two