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Vladimir_Nesov comments on 5 Axioms of Decision Making - Less Wrong
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What does it mean for this function to be "consistent"? What kinds of statements do you allow?
If "probability assignment" is a mapping from statements (or Goedel numbers) to the real interval [0,1], it's not a given that Y, being a "probability assignment", is definable, so that you can refer to it in the statement "Y is consistent" above.