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    Gödel's results apply to *specific* unprovable sentences,... — Carmelics
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    Challenges→If there exist sentences φ such that Γ ⊨ φ yet Γ ⊬ φ within sufficiently expressive systems, the universal claim Γ ⊢ φ is false as a general principle.

    Gödel's results apply to *specific* unprovable sentences, not all entailed sentences—most logically valid inferences remain provable in standard systems.

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    If there exist sentences φ such that Γ ⊨ φ yet Γ ⊬ φ within sufficiently express...

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    If there exist sentences φ such that Γ ⊨ φ yet Γ ⊬ φ within sufficiently express...

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