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    The principle of indifference, which grounds inference fr... — Carmelics
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    Challenges→It is not necessary to know that a sample is randomly drawn in order to apply the proportional syllogism

    The principle of indifference, which grounds inference from ignorance of bias to equal weighting, generates contradictions when applied across different descriptions of the same situation.

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    Key Terms

    Equal weighting(what the principle of indifference produces)
    Treating multiple options as having the same importance or probability, giving them identical consideration.
    Inference from ignorance(what the principle of indifference relies on)
    Drawing a conclusion based on the fact that you don't know something, rather than on positive evidence.
    Principle of Indifference(Bayesian epistemology)
    A norm requiring a doxastic agent to distribute subjective probabilities uniformly across a partition whenever the agent lacks evidence of the relevant kind.
    bias(bias-variance decomposition)
    A measure of how far an estimator's expected prediction is from the true target value; large bias indicates systematic error.
    contradiction

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    (Relevant to distinguishing contradictions from false contingent statements in the logic student variant of the preface paradox.)
    A statement that is necessarily false in all interpretations; in this context, specifically the negation of a tautology or any falsehood drawn from a list containing only tautologies and contradictions.

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    It is not necessary to know that a sample is randomly drawn in order to apply th...

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