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    Fixed-point constructions formally validate the co-provab... — Carmelics
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    Supports→It is provably the case that the full description of our knowledge includes both K(k) and ¬K(k).

    Fixed-point constructions formally validate the co-provability of K(k) and ¬K(k) as a structural feature of the semantic model, not a mere paradox.

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    1 reason against

    Reasons For

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    Reason for
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    • 1.Fixed-point theorems in logic (Kleene, Gödel) show self-referential structures yield stable solutions within formal systems, not mere contradictions.
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    • 2.If K(k) and ¬K(k) co-prove in a model, this reflects genuine semantic ambiguity in the domain, making it a feature rather than a failure.
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    • 3.Paraconsistent logics tolerate true contradictions structurally; fixed-points explain how knowledge statements can exhibit this without collapse.
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    Reasons Against

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    Reason against
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    • 1.Co-provability of K(k) and ¬K(k) violates the law of non-contradiction unless the model is paraconsistent—but then 'validation' becomes stipulative.
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    • 2.Calling a contradiction a 'structural feature' rather than a paradox is linguistic rebranding unless it explains why the model is *preferable* to consistent alternatives.
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    • 3.Fixed-point constructions exist in many formal systems; their mere existence doesn't vindicate semantic claims about knowledge without independent justification.
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    Truth & Knowledge1 linkedSkepticism1 linked

    Related

    Calling a contradiction a 'structural feature' rather than a paradox is linguist...Co-provability of K(k) and ¬K(k) violates the law of non-contradiction unless th...Fixed-point constructions exist in many formal systems; their mere existence doe...Fixed-point theorems in logic (Kleene, Gödel) show self-referential structures y...
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    If K(k) and ¬K(k) co-prove in a model, this reflects genuine semantic ambiguity ...It is provably the case that the full description of our knowledge includes both...Paraconsistent logics tolerate true contradictions structurally; fixed-points ex...

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    claim
    Perspectives
    2 (1 for, 1 against)
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