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JGWeissman comments on Guilt by Association - Less Wrong
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Perhaps people are just not good at processing asymmetrical relations. They may naturally assume, for any relation R, that aRb has the same meaning as bRa. They may not notice that conclusions they make from the mistake at this level of abstraction contradicts their correct understanding at a lower level of abstraction that includes the actual definition of implication.
Interesting, but this doesn't seem true true in general. People are pretty good at not confusing aRb and bRa when R is something like "has more status than", for example.
Good point. When the relation is obviously antisymmetric, where aRb implies not bRa, this is enough to make people realize it is not symmetric.
I wouldn't be surprised if the easiest relations for us to imagine between two variables were simply degrees of "bidirectional implication" or "mutual exclusivity".
Bing bing bing!
The real issue, of course, is why they're the easiest for us to represent.
That's coming up next.