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    Any attempt by Lipton or Lycan to treat 'loveliness' as a... — Carmelics
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    Supports→Probabilistic versions of abduction are either redundant or probabilistically incoherent, and therefore irrational to follow.

    Any attempt by Lipton or Lycan to treat 'loveliness' as a probability-boosting factor beyond likelihood ratios generates violations of the ratio formula for conditional probability, as Salmon's confirmation theory makes explicit.

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    Reasons For

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    • 1.Salmon's ratio formula requires P(E|H)/P(E|¬H) as the sole confirmation metric; any additional factors mathematically violate this constraint.
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    • 2.Lipton and Lycan treat explanatory 'loveliness' as independent of likelihood ratios, creating a second confirmation dimension that the formula cannot accommodate.
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    • 3.Probability theory is formally closed under its axioms; introducing non-ratio factors necessarily generates inconsistency with Bayesian conditionalization.
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    Reasons Against

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    • 1.Salmon's ratio formula applies only to narrow comparative likelihood questions, not to broader epistemic virtues like explanatory power that operate at different levels.
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    • 2.'Loveliness' factors may function as constraints on *which* hypotheses enter the likelihood ratio calculation, rather than as independent probability-boosters, avoiding violation.
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    • 3.The charge of violation assumes Lipton/Lycan endorse Salmon's framework as exhaustive; they may reject his assumptions about confirmation's mathematical closure.
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    Key Terms

    Confirmation theory(epistemology (how we know things))
    The study of how evidence supports or proves a scientific theory or claim—basically, what counts as proof that an idea is right.
    Likelihood ratios(in Bayesian probability and philosophy of science)
    A way of comparing how probable two different explanations are for the same piece of evidence—the ratio tells you which explanation the evidence favors more.
    Lipton(as a philosopher whose work is being discussed)
    Peter Lipton is a philosopher who wrote about abduction (inference to the best explanation) and defended it as a legitimate way of reasoning.
    Loveliness(as a factor being examined in confirmation theory)
    In this context, a property or quality that is being tested to see whether it helps make something more probable or believable.
    Lycan(philosopher referenced as originator of theory)
    William Lycan, a philosopher who created another major version of higher-order theory, emphasizing how the brain's higher layers monitor and represent what lower layers are doing.
    Probability-boosting factor(in evaluating evidence and explanations)
    Something that makes an outcome or explanation more likely to be true or correct.
    Ratio formula for conditional probability(in statistics and confirmation theory)
    A mathematical equation that shows how the probability of something being true changes when you learn new information.
    Salmon's confirmation theory(as the theoretical foundation being referenced)
    A philosophical framework created by philosopher Wesley Salmon that explains how evidence confirms or supports scientific theories.

    Connections

    2 topics

    Truth & Knowledge1 linkedSkepticism1 linked

    Related

    'Loveliness' factors may function as constraints on *which* hypotheses enter the...Lipton and Lycan treat explanatory 'loveliness' as independent of likelihood rat...

    Details

    Type
    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit
    Probabilistic versions of abduction are either redundant or probabilistically in...
    Probability theory is formally closed under its axioms; introducing non-ratio fa...
    +3 moreShow less
    Salmon's ratio formula applies only to narrow comparative likelihood questions, ...Salmon's ratio formula requires P(E|H)/P(E|¬H) as the sole confirmation metric; ...The charge of violation assumes Lipton/Lycan endorse Salmon's framework as exhau...