Completeness is defined as if given Σ⊨Φ then Σ⊢Φ. If for every truth placement Z in Σ, we would get T, then Φ also would

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answerhappygod
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Completeness is defined as if given Σ⊨Φ then Σ⊢Φ. If for every truth placement Z in Σ, we would get T, then Φ also would

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Completeness is defined as if given Σ⊨Φ then Σ⊢Φ. If for every truth placement Z in Σ, we would get T, then Φ also would get T. If the previous does indeed exist, then we can prove Φ using the rules in Σ. Soundness is defined as when given that Σ1Φ then Σ⊨Φ, which is the opposite. Explain the TWO (2) fundamental differences between completeness and soundness.
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