Skip to content
Carmelics
TopicsThinkersChangesContributorsLoading account…

    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

    Navigate

    • Topics
    • Search
    • Recent Changes
    • Contribute
    • How It Works
    • Glossary
    • Thinkers
    • Contributors
    • About
    • Statistics
    • Terms
    • Privacy

    Database

    Statements
    —
    Perspectives
    —
    Topics
    —

    Press ? for keyboard shortcuts

    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Without an independently justified reference measure, the... — Carmelics
    Home
    HistoryEditSee Inverse

    Part of a larger discussion

    Challenges→In continuous distributions, the probability of any event can be computed via integration of a probability density function

    Without an independently justified reference measure, the choice of density function is arbitrary, undermining the claim that probabilities are computed rather than stipulated.

    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.The principle of indifference requires a reference measure, but no objective measure exists independent of theoretical framework or convention.
      ?

      Think about whether this reason is strong or weak

    • 2.Different density functions assigned to identical physical situations yield incompatible probability assignments, indicating stipulation not discovery.
      ?

      Think about whether this reason is strong or weak

    • 3.If probabilities were computed rather than stipulated, the density function would be uniquely determined by the explanandum; multiple valid choices show it isn't.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Some probability assignments are constrained by physical laws, symmetries, and empirical data—not arbitrary stipulation but inference from evidence.
      ?

      Think about whether this reason is strong or weak

    • 2.The need for a reference measure doesn't undermine computation; it merely shows probability depends on problem parameterization, like all mathematical derivation.
      ?

      Think about whether this reason is strong or weak

    • 3.Multiple density functions can be defensible given ambiguous priors without proving probabilities are stipulated—underdetermination differs from arbitrariness.
      ?

      Think about whether this reason is strong or weak

    Sign in or register to share your perspective on this statement.

    Next step

    Based on where you are in your exploration

    Strongest counterpoint
    Explore the most compelling reason on the other side.

    Connections

    1 topic

    Modality & Possibility1 linked

    Related

    Different density functions assigned to identical physical situations yield inco...If probabilities were computed rather than stipulated, the density function woul...In continuous distributions, the probability of any event can be computed via in...Multiple density functions can be defensible given ambiguous priors without prov...
    +3 moreShow less
    Some probability assignments are constrained by physical laws, symmetries, and e...The need for a reference measure doesn't undermine computation; it merely shows ...The principle of indifference requires a reference measure, but no objective mea...

    Details

    Type
    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit