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    Carnap's inductive logic programs collapsed precisely bec... — Carmelics
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    Challenges→One can derive a formula giving the probability that God does not exist relative to information about the number of apparent evils in the world.

    Carnap's inductive logic programs collapsed precisely because assigning logical probabilities across metaphysical hypotheses requires substantive commitments that cannot be derived from logic alone.

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    Reasons For

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    • 1.Carnap's λ-continuum and other probability measures require choosing regularities that favor simplicity, but logic alone cannot justify preferring one measure over another.
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    • 2.Assigning prior probabilities to metaphysical hypotheses (e.g., physicalism vs. dualism) depends on background assumptions about what's 'natural' or 'elegant'—these are not logically derivable.
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    • 3.Carnap explicitly abandoned universal inductive logic by the 1960s, recognizing that different scientific frameworks require different probability assignments based on contextual values.
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    Reasons Against

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    • 1.The claim conflates 'not purely logical' with 'collapsed'—Carnap's program may have evolved or faced technical challenges without vindicating skepticism about all formal inductive methods.
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    • 2.Some probability assignments can be justified by information-theoretic principles or symmetry arguments that are quasi-logical, not requiring external metaphysical commitments.
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    • 3.Modern Bayesian approaches succeed by explicitly acknowledging prior choice as a modeling decision, not pretending logic alone determines them—suggesting the framework survives Carnap's setback.
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    Key Terms

    Carnap
    Rudolf Carnap (1891-1970) was a highly influential German-American philosopher who believed that many traditional philosophical problems could be solved by carefully analyzing the language we use to talk about them. He pioneered the idea that philosophy should work closely with science and mathematics, using precise logical methods to clarify confused thinking. His work fundamentally changed how philosophers approach their discipline, making language analysis and logical rigor central to philosophical practice.
    Inductive logic(describes the type of logical system being discussed)
    A method of reasoning that starts with specific observations or evidence and uses them to draw general conclusions, rather than starting with general rules and deriving specifics from them.
    Logic alone(as what the statement argues is insufficient for assigning probabilities)
    Pure reasoning based only on formal rules and definitions, without bringing in real-world facts, observations, or personal values.
    Logical probabilities(as what Carnap tried to assign to different ideas)
    Numbers (between 0 and 1) that represent how likely something is to be true based purely on logical reasoning, rather than on real-world data or personal experience.
    Metaphysical hypotheses(as the types of theories that probabilities were being assigned to)
    Competing theories about the ultimate nature of reality—like whether the universe is made of matter, minds, or something else entirely.
    Substantive commitments(as used to distinguish between abandoning a label versus abandoning an actual belief)
    Core beliefs or positions that a philosopher actually holds and cares about, as opposed to just the specific words or labels they use to describe them.

    Connections

    1 topic

    Problem of Evil1 linked

    Related

    Assigning prior probabilities to metaphysical hypotheses (e.g., physicalism vs. ...Carnap explicitly abandoned universal inductive logic by the 1960s, recognizing ...Carnap's λ-continuum and other probability measures require choosing regularitie...

    Details

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    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit
    Modern Bayesian approaches succeed by explicitly acknowledging prior choice as a...
    +3 moreShow less
    One can derive a formula giving the probability that God does not exist relative...Some probability assignments can be justified by information-theoretic principle...The claim conflates 'not purely logical' with 'collapsed'—Carnap's program may h...