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Overcoming Bias Commenter's avatar

"Michael, a person who realizes that they can make errors in logic does seem irrational for having no impossible worlds in their state space."

In such a world one would also have to consider unawareness, which is incompatible with standard state space models.

Is everyone born with a possibility correspondence that makes one consider that all sets of reals are Lebesgue measurable? I don't think one can model knowledge of abstract entities like a posteriori knowledge. You would basically run into the Benacaraffian problems haunting platonism: Are the natural numbers as sets the von Neumann or the Zermelo natural numbers?

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Robin Hanson's avatar

Michael, a person who realizes that they can make errors in logic does seem irrational for having no impossible worlds in their state space. If one happens to know that a world is impossible, one should consider that to be information, not a prior.

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