Combining Texts
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'fragments/reports', 'Penguin Dictionary of Philosophy' and 'Logic for Philosophy'
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9 ideas
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
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13678
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The most popular account of logical consequence is the semantic or model-theoretic one [Sider]
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13679
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Maybe logical consequence is more a matter of provability than of truth-preservation [Sider]
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13682
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Maybe logical consequence is impossibility of the premises being true and the consequent false [Sider]
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13680
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Maybe logical consequence is a primitive notion [Sider]
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5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
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13722
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A 'theorem' is an axiom, or the last line of a legitimate proof [Sider]
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5. Theory of Logic / B. Logical Consequence / 6. Entailment
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6877
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Entailment is logical requirement; it may be not(p and not-q), but that has problems [Mautner]
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5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
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6880
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Strict implication says false propositions imply everything, and everything implies true propositions [Mautner]
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5. Theory of Logic / B. Logical Consequence / 8. Material Implication
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6879
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'Material implication' is defined as 'not(p and not-q)', but seems to imply a connection between p and q [Mautner]
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6878
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A person who 'infers' draws the conclusion, but a person who 'implies' leaves it to the audience [Mautner]
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