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    Keynes demonstrated in his Treatise on Probability that t... — Carmelics
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    Supports→The classical interpretation of probability yields implausible and contradictory results when applied generally.

    Keynes demonstrated in his Treatise on Probability that the reference class of 'equipossible' outcomes changes with how the problem is described, yielding contradictory probability values for identical events.

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    Reasons For

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    • 1.Keynes showed that 'fair die' descriptions yield different reference classes depending on whether we assume physical symmetry or logical symmetry principles.
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    • 2.The Bertrand paradox demonstrates that identical physical setups yield contradictory probabilities under different parameterizations of the sample space.
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    • 3.If description-dependent reference classes produce different probability values for the same event, classical equipossibility cannot be a foundational principle.
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    Reasons Against

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    • 1.Different descriptions typically represent genuinely different probability problems, not identical events with contradictory answers.
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    • 2.Keynes himself advocated for principled selection of reference classes based on relevant evidence, not abandonment of equipossibility frameworks.
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    • 3.Modern probability theory resolves description-dependence through formal axioms and measure theory, showing apparent contradictions rest on undefined problems.
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    Key Terms

    Equipossible(as used in probability calculations)
    Events or outcomes that are equally likely to happen; for instance, heads and tails on a fair coin are equipossible because each has a 50% chance.
    Keynes(as a philosopher of probability and evidence)
    John Maynard Keynes was a 20th-century British philosopher and economist who developed ideas about how we should measure and think about probability based on the evidence we have available.
    Probability values(the specific predictions Williamson's theory makes accurate)
    Numbers between 0 and 1 that express how likely something is to be true—for example, a coin flip has a probability value of 0.5 for landing heads.
    Reference class(Boorse's biostatistical theory)
    A biologically relevant subgroup of a species used to specify the population mean against which individual functional efficiency is measured, accounting for the fact that not all members of a species share the same design in every respect
    Treatise on Probability(as the specific work being discussed)
    A book Keynes wrote exploring the philosophical foundations of probability—basically, what does it mean to say something has a 50% chance of happening, and how do we figure that out?

    Connections

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    Natural Theology1 linked

    Related

    Different descriptions typically represent genuinely different probability probl...If description-dependent reference classes produce different probability values ...Keynes himself advocated for principled selection of reference classes based on ...Keynes showed that 'fair die' descriptions yield different reference classes dep...

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    Modern probability theory resolves description-dependence through formal axioms ...The Bertrand paradox demonstrates that identical physical setups yield contradic...The classical interpretation of probability yields implausible and contradictory...