Combining Texts
Ideas for
'fragments/reports', 'Intermediate Logic' and 'Contributions of Philosophy (On Appropriation)'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
10 ideas
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]
|
13356
|
The 'conditional' is that Γ|=φ→ψ iff Γ,φ|=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]
|
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]
|