Combining Philosophers
Ideas for Lynch,MP/Glasgow,JM, Charles Chihara and David Bostock
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6 ideas
5. Theory of Logic / K. Features of Logics / 2. Consistency
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A set of formulae is 'inconsistent' when there is no interpretation which can make them all true [Bostock]
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For 'negation-consistent', there is never |-(S)φ and |-(S)¬φ [Bostock]
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13542
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A proof-system is 'absolutely consistent' iff we don't have |-(S)φ for every formula [Bostock]
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Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara]
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5. Theory of Logic / K. Features of Logics / 6. Compactness
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Inconsistency or entailment just from functors and quantifiers is finitely based, if compact [Bostock]
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13618
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Compactness means an infinity of sequents on the left will add nothing new [Bostock]
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