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    Probabilistic relevance requires a well-defined probabili... — Carmelics
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    Challenges→A hypothesis need not be deductively related to evidence in order to bear on it probabilistically

    Probabilistic relevance requires a well-defined probability space, which itself presupposes determinate logical or causal relations between propositions.

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    1 reason for
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    Reasons For

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    Reason for
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    • 1.Probability assignments require a sample space of mutually exclusive, exhaustive outcomes, which logically presupposes prior determinate distinctions.
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    • 2.Without causal or logical structure, propositions lack the definitional boundaries needed to calculate their conditional probabilities meaningfully.
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    • 3.Bayesian updating depends on identifying which propositions affect others, implying causal relations must be antecedent to probability calculations.
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    Reasons Against

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    Reason against
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    • 1.Probability spaces can be defined axiomatically without prior commitment to causal or logical structure—set theory alone suffices.
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    • 2.Empirical systems exhibit probabilistic patterns without determinate underlying logic; randomness itself may be fundamental, not derivative.
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    • 3.Relevance relations can be discovered inductively from data rather than presupposed deductively from prior logical or causal frameworks.
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    Truth & Knowledge1 linkedCausation1 linked

    Related

    A hypothesis need not be deductively related to evidence in order to bear on it ...Bayesian updating depends on identifying which propositions affect others, imply...Empirical systems exhibit probabilistic patterns without determinate underlying ...Probability assignments require a sample space of mutually exclusive, exhaustive...
    +3 moreShow less
    Probability spaces can be defined axiomatically without prior commitment to caus...Relevance relations can be discovered inductively from data rather than presuppo...Without causal or logical structure, propositions lack the definitional boundari...

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    claim
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    2 (1 for, 1 against)
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