Combining Texts

Ideas for 'Logical Consequence', 'Beginning Logic' and 'Cantorian Abstraction: Recon. and Defence'

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4 ideas

5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence

10691

Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]

5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=

10695

Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]

5. Theory of Logic / B. Logical Consequence / 8. Material Implication

10689

A step is a 'material consequence' if we need contents as well as form [Beall/Restall]

9520	The paradoxes of material implication are P |- Q → P, and ¬P |- P → Q [Lemmon]