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SquirrelInHell comments on Geometric Bayesian Update - Less Wrong
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Comments (9)
There's no reason why P(E|H) and P(E|~H) must sum to 1, but I can't move the lower right corner without the whole diagram rescaling.
Of course you are right, but it would just be a linear transformation of the whole diagram, so it doesn't change anything in the result. I've built the diagram starting from a square, so I can't change this easily... just imagine the whole thing scaling on the X axis, OK?
Edit: since two people asked for this, I remade the diagram and now you can put in any values of P(E|H) and P(E|~H)
When I drag the dot for P(E|~H), it only changes P(E|~H), but when I drag the dot for P(E|H), it still keeps P(E|H)+P(E|~H) conserved, which is a little weird. I think it would be better if changing either of them did not affect the other.