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Ideas for 'fragments/reports', 'Philosophies of Mathematics' and 'Possible Worlds'

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4 ideas

5. Theory of Logic / K. Features of Logics / 2. Consistency

10119

Consistency is a purely syntactic property, unlike the semantic property of soundness [George/Velleman]

10126

A 'consistent' theory cannot contain both a sentence and its negation [George/Velleman]

5. Theory of Logic / K. Features of Logics / 3. Soundness

10120

Soundness is a semantic property, unlike the purely syntactic property of consistency [George/Velleman]

5. Theory of Logic / K. Features of Logics / 4. Completeness

10127

A 'complete' theory contains either any sentence or its negation [George/Velleman]