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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
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    Perspectives
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    Home/Original/inverse
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    Inverse View

    It is not the case that The existence of partial formalization constitutes progress toward adequacy, not evidence that formalization is 'doomed', as Polya's work on plausible reasoning shows cumulative refinement is possible.

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    Reasons For

    1 perspective
    Reason for
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    • 1.Polya's rules for plausible reasoning capture pattern-matching, not the creative insight generating new conjectures—formalization misses the harder part.
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    • 2.Gap between formal systems and their application (interpretation problem) may be irreducible, making partial formalization inherently limited rather than progressive.
      ?

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    • 3.Extending formalization to new domains (fuzzy logic, abduction) requires informal meta-reasoning outside the formalism itself, suggesting an inescapable ceiling.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Polya demonstrated that plausible reasoning admits systematic rules, showing informality is not inherently irreducible to principled structure.
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    • 2.Partial formalizations (logic, probability, decision theory) solve real problems, suggesting progress toward adequacy rather than diminishing returns.
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    • 3.Historical trajectory shows formalization expanding scope: classical logic → modal logic → fuzzy logic, indicating cumulative refinement remains possible.
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