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    Carmelics

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    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that Generality in formal systems requires not just additional entailments but greater explanatory scope over the target domain.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
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    • 1.Explanatory scope is subjective and domain-dependent; formality requires objective criteria independent of what 'counts' as the target domain.
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    • 2.Additional entailments are formally measurable; scope is vague without specifying coverage metrics, making the claim empirically untestable.
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    • 3.Highly general systems (like set theory) succeed through austere axioms, not broad scope—formality may demand parsimony over explanatory ambition.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.A formal system with broader explanatory scope unifies previously disparate phenomena under common principles, reducing theoretical complexity.
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    • 2.Mere entailments without scope don't distinguish powerful theories from ad-hoc ones; generality requires systematic coverage of a domain.
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    • 3.Scientific progress shows that theories gain acceptance by explaining more with fewer assumptions—scope matters independently of logical derivations.
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