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Applied to Logical Probability of Goldbach’s Conjecture: Provable Rule or Coincidence? by avturchin 5mo ago

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Applied to You can't believe in Bayes 3y ago

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Applied to Supernatural Math 3y ago

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Applied to Be Logically Informative 3y ago

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Applied to Persuasiveness vs Soundness 3y ago

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Applied to Metauncertainty 3y ago

Logical Uncertaintyis probabilistic uncertainty about the implications of beliefs. (Another way of thinking about it is: uncertainty about computations.) Probability theory typically assumeslogical omniscience,IE, perfect knowledge of logic. The easiest way to see the importance of this assumption is~~co~~to consider Bayesian reasoning: to evaluate the probability of evidence given a hypothesis, P(e|h), it's necessary to know what the implications of the hypothesis are. However, realistic agents cannot be logically omniscient.