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    Intuitionism's narrative advantage is philosophical aesth... — Carmelics
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    Challenges→Closed set logic's category-theoretic availability does not supply paraconsistent mathematics with a corresponding epistemic or proof-theoretic motivation analogous to intuitionism's rejection of the law of excluded middle.

    Intuitionism's narrative advantage is philosophical aesthetics, not logical necessity; paraconsistency's formal availability is itself legitimate justification for mathematical development.

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    Key Terms

    Formal availability(as a philosophical concept)
    When something is officially recognized or made possible within a particular system or set of rules.
    Legitimate justification(as a philosophical concept)
    A good, valid, acceptable reason for believing or doing something that can stand up to reasonable criticism.
    Narrative advantage(as a philosophical concept)
    When something is better at telling a convincing or appealing story, even if it doesn't have the strongest logical foundation.
    Paraconsistency(as a technical solution to contradictions in fiction)
    A type of logic that allows for contradictions to exist without breaking down completely—basically a system where contradictory statements don't automatically make everything fall apart.
    Philosophical aesthetics

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    (as a field of philosophy)
    The branch of philosophy that studies beauty, art, taste, and how we experience and judge what seems beautiful or meaningful.
    intuitionism(Mill's characterisation of a target he rejected; linked to conservative deference to inherited belief)
    The view that anything a person believes deeply enough must be true, such that conviction itself is taken as justification.
    logical necessity(Distinguishing types of necessity)
    A property of statements that are true in all possible logical contexts, such as tautologies

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