Combining Texts

Ideas for 'God and Human Attributes', 'Introduction: Truth and Truth-Making' and 'Intermediate Logic'

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13 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
13439 Venn Diagrams map three predicates into eight compartments, then look for the conclusion [Bostock]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / b. Terminology of PL
13421 'Disjunctive Normal Form' is ensuring that no conjunction has a disjunction within its scope [Bostock]
13422 'Conjunctive Normal Form' is ensuring that no disjunction has a conjunction within its scope [Bostock]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
13355 'Disjunction' says that Γ,φ∨ψ|= iff Γ,φ|= and Γ,ψ|= [Bostock]
13350 'Assumptions' says that a formula entails itself (φ|=φ) [Bostock]
13351 'Thinning' allows that if premisses entail a conclusion, then adding further premisses makes no difference [Bostock]
13356 The 'conditional' is that Γ|=φ→ψ iff Γ,φ|=ψ [Bostock]
13352 'Cutting' allows that if x is proved, and adding y then proves z, you can go straight to z [Bostock]
13353 'Negation' says that Γ,¬φ|= iff Γ|=φ [Bostock]
13354 'Conjunction' says that Γ|=φ∧ψ iff Γ|=φ and Γ|=ψ [Bostock]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
13610 A logic with ¬ and → needs three axiom-schemas and one rule as foundation [Bostock]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
18350 Truth-maker theorists should probably reject the converse Barcan formula [Rami]
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
13846 A 'free' logic can have empty names, and a 'universally free' logic can have empty domains [Bostock]