8078 | Modus ponens is one of five inference rules identified by the Stoics [Chrysippus, by Devlin] |
20309 | If our ideas are adequate, what follows from them is also adequate [Spinoza] |
5395 | Demonstration always relies on the rule that anything implied by a truth is true [Russell] |
3094 | You don't have to accept the conclusion of a valid argument [Harman] |
13617 | MPP is a converse of Deduction: If Γ |- φ→ψ then Γ,φ|-ψ [Bostock] |
13614 | MPP: 'If Γ|=φ and Γ|=φ→ψ then Γ|=ψ' (omit Γs for Detachment) [Bostock] |
10257 | Intuitionism only sanctions modus ponens if all three components are proved [Shapiro] |
14184 | In modus ponens the 'if-then' premise contributes nothing if the conclusion follows anyway [Read] |
15341 | Deduction Theorem: ψ only derivable from φ iff φ→ψ are axioms [Horsten] |