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Ideas for
'works', 'Continuity and Irrational Numbers' and 'Which Logic is the Right Logic?'
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7 ideas
5. Theory of Logic / K. Features of Logics / 3. Soundness
10765
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Soundness would seem to be an essential requirement of a proof procedure [Tharp]
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5. Theory of Logic / K. Features of Logics / 4. Completeness
10763
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Completeness and compactness together give axiomatizability [Tharp]
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5. Theory of Logic / K. Features of Logics / 5. Incompleteness
10770
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If completeness fails there is no algorithm to list the valid formulas [Tharp]
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5. Theory of Logic / K. Features of Logics / 6. Compactness
10772
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Compactness blocks infinite expansion, and admits non-standard models [Tharp]
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10771
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Compactness is important for major theories which have infinitely many axioms [Tharp]
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5. Theory of Logic / K. Features of Logics / 8. Enumerability
10764
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A complete logic has an effective enumeration of the valid formulas [Tharp]
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10768
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Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp]
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