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AnotherKevin comments on Gödel and Bayes: quick question - Less Wrong Discussion
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Z is defined correctly. When X >= 0 the formula becomes N(X) AND TRUE when X < 0 the formula becomes TRUE AND N(0-X).
Otherwise I was confused. I was trying to define N implicitly which I should have recognized as invalid. Explaining what I was trying to say at the end would be pointless given that I didn't say it and it's also wrong =P. Mea culpa
Oh, you said "and"; my apologies, I implicitly read an "or" there!