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    The residual role of intuitive judgment in applying a for... — Carmelics
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    Challenges→The project of formalizing analogical inference in terms of one or more simple formal schemata is doomed.

    The residual role of intuitive judgment in applying a formal schema does not invalidate the schema, since all formal systems, including deductive logic, require non-formal judgment in application.

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    Key Terms

    Deductive logic(as used in reasoning and argumentation)
    A method of reasoning where you start with general rules and use them to reach specific conclusions that must be true if the rules are true.
    Formal schema(as used in logic and reasoning)
    A strict, rule-based system or framework—like a mathematical formula—that works the same way every time.
    Formal systems(the systems Hilbert tried to use)
    A set of basic symbols and strict rules for manipulating them (like a logical language), designed to avoid ambiguity and prove statements with certainty.
    Intuitive judgment(describing the initial impression Williamson is examining)
    A gut feeling or immediate sense that something is true, without needing to work through a formal argument—what most people would naturally think.

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    Non-formal judgment(as used in logic and epistemology)
    A decision or understanding that relies on context, experience, or human judgment rather than following strict logical rules.

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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

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    The project of formalizing analogical inference in terms of one or more simple f...

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