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    De Finetti's representation theorem shows probability-1 a... — Carmelics
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    Challenges→Probability functions that assign probability 1 to contingent claims should be considered mere abbreviations for proper, logically explicit, non-enthymematic, inductive support relations.

    De Finetti's representation theorem shows probability-1 assignments encode genuine epistemic commitments, not mere notational shortcuts.

    ?Rate how convincing each reason is below to see the overall strength.
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    Reasons For

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    • 1.De Finetti's theorem derives probability-1 from rational coherence conditions, not arbitrary convention, grounding them in genuine belief structure.
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    • 2.Probability-1 assignments have decision-theoretic consequences (infinite betting ratios), making them substantively different from lower probabilities.
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    • 3.Exchangeability assumptions reflect real empirical commitments about symmetry, not mere notational convenience or linguistic choice.
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    Reasons Against

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    • 1.De Finetti's theorem merely formalizes betting behavior consistency; this says nothing about whether assignments represent metaphysical or epistemic reality.
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    • 2.Any consistent probability assignment (including those avoiding probability-1) satisfies coherence; distinguishing one requires external philosophical assumptions.
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    • 3.The theorem applies equally to subjective assignments agents construct as shortcuts; formal coherence doesn't entail the assignments aren't notational artifacts.
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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

    Related

    Any consistent probability assignment (including those avoiding probability-1) s...De Finetti's theorem derives probability-1 from rational coherence conditions, n...De Finetti's theorem merely formalizes betting behavior consistency; this says n...Exchangeability assumptions reflect real empirical commitments about symmetry, n...
    +3 moreShow less
    Probability functions that assign probability 1 to contingent claims should be c...Probability-1 assignments have decision-theoretic consequences (infinite betting...The theorem applies equally to subjective assignments agents construct as shortc...

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