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'works', 'A Mathematical Introduction to Logic (2nd)' and 'Regressive Method for Premises in Mathematics'
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8 ideas
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
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17629
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Which premises are ultimate varies with context [Russell]
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17630
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The sources of a proof are the reasons why we believe its conclusion [Russell]
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17640
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Finding the axioms may be the only route to some new results [Russell]
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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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