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'fragments/reports', 'Political Philosophy (3rd ed)' and 'Intermediate Logic'
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14 ideas
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
13439
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Venn Diagrams map three predicates into eight compartments, then look for the conclusion [Bostock]
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4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
8077
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Stoic propositional logic is like chemistry - how atoms make molecules, not the innards of atoms [Chrysippus, by Devlin]
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / b. Terminology of PL
13421
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'Disjunctive Normal Form' is ensuring that no conjunction has a disjunction within its scope [Bostock]
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13422
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'Conjunctive Normal Form' is ensuring that no disjunction has a conjunction within its scope [Bostock]
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
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'Disjunction' says that Γ,φ∨ψ|= iff Γ,φ|= and Γ,ψ|= [Bostock]
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13350
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'Assumptions' says that a formula entails itself (φ|=φ) [Bostock]
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13351
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'Thinning' allows that if premisses entail a conclusion, then adding further premisses makes no difference [Bostock]
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13356
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The 'conditional' is that Γ|=φ→ψ iff Γ,φ|=ψ [Bostock]
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13352
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'Cutting' allows that if x is proved, and adding y then proves z, you can go straight to z [Bostock]
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13353
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'Negation' says that Γ,¬φ|= iff Γ|=φ [Bostock]
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13354
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'Conjunction' says that Γ|=φ∧ψ iff Γ|=φ and Γ|=ψ [Bostock]
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
20791
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Chrysippus has five obvious 'indemonstrables' of reasoning [Chrysippus, by Diog. Laertius]
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13610
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A logic with ¬ and → needs three axiom-schemas and one rule as foundation [Bostock]
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4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
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A 'free' logic can have empty names, and a 'universally free' logic can have empty domains [Bostock]
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