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    The sentence k, asserting its own unknownness, occupies a... — 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).

    The sentence k, asserting its own unknownness, occupies a fixed point where both knowing and not-knowing it are forced by the semantic closure conditions.

    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
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    • 1.Self-referential sentences can create genuine semantic paradoxes that resist classical truth-value assignment, requiring fixed-point analysis.
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    • 2.A sentence asserting its own unknownness generates a constraint loop: knowing it makes it false; not knowing it makes it true.
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    • 3.Fixed-point theory in logic formally captures how semantic closure forces certain sentences into determinate yet paradoxical positions.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.The notion of a sentence 'asserting its own unknownness' presupposes clarity about what the sentence's content actually is—which seems question-begging.
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    • 2.Fixed points in formal systems describe mathematical structures, not necessarily epistemic facts about what can actually be known in reality.
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    • 3.The claim conflates semantic properties (truth conditions) with epistemological ones (knowability), which may require separate treatment.
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    Connections

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    Truth & Knowledge1 linkedSkepticism1 linked

    Related

    A sentence asserting its own unknownness generates a constraint loop: knowing it...Fixed points in formal systems describe mathematical structures, not necessarily...Fixed-point theory in logic formally captures how semantic closure forces certai...It is provably the case that the full description of our knowledge includes both...
    +3 moreShow less
    Self-referential sentences can create genuine semantic paradoxes that resist cla...The claim conflates semantic properties (truth conditions) with epistemological ...The notion of a sentence 'asserting its own unknownness' presupposes clarity abo...

    Details

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    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit