Combining Philosophers
Ideas for Rescher,N/Oppenheim,P, Herbert B. Enderton and M.R. Ayers
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5 ideas
5. Theory of Logic / K. Features of Logics / 3. Soundness
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9719
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A proof theory is 'sound' if its valid inferences entail semantic validity [Enderton]
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5. Theory of Logic / K. Features of Logics / 4. Completeness
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9720
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A proof theory is 'complete' if semantically valid inferences entail proof-theoretic validity [Enderton]
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5. Theory of Logic / K. Features of Logics / 6. Compactness
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9995
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Proof in finite subsets is sufficient for proof in an infinite set [Enderton]
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5. Theory of Logic / K. Features of Logics / 7. Decidability
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9996
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Expressions are 'decidable' if inclusion in them (or not) can be proved [Enderton]
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5. Theory of Logic / K. Features of Logics / 8. Enumerability
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9997
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For a reasonable language, the set of valid wff's can always be enumerated [Enderton]
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