Nominull comments on Rationality Quotes March 2012 - Less Wrong

4 Post author: Thomas 03 March 2012 08:04AM

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Comment author: Nominull 07 March 2012 03:43:24PM 22 points [-]

When you've eliminated the impossible, if whatever's left is sufficiently improbable, you probable haven't considered a wide enough space of candidate possibilities.

Comment author: Voltairina 07 March 2012 07:21:19PM 3 points [-]

Seems fair. The Holmes saying seems a bit funny to me now that I think about it, because the probability of an unlikely event changes to become more likely when you've shown that reality appears constrained from the alternatives. I mean, I guess that's what he's trying to convey in his own way. But, by the definition of probability, the likelihood of the improbable event increases as constraints appear preventing the other possibilities. You're going from P(A) to P(A|B) to P(A|(B&C)) to.. etc. You shouldn't be simultaneously aware that an event is improbable and seeing that no other alternative is true at the same time, unless you're being informed of the probability, given the constraints, by someone else, which means that yes, they appear to be considering more candidate possibilities (or their estimate was incorrect. Or something I haven't thought of...).

Comment author: AspiringKnitter 09 March 2012 07:00:35AM 2 points [-]

Maybe he meant how a priori improbable it is?

Comment author: Voltairina 09 March 2012 07:05:56AM 0 points [-]

That sounds right.