A first-order sentence is provable from a theory T if and only if it holds in every model of T (T ⊨ φ ⇔ T ⊢ φ). First-order logic is complete with respect to its standard semantics — distinct from the incompleteness theorems, which target…
A first-order sentence is provable from a theory T if and only if it holds in every model of T (T ⊨ φ ⇔ T ⊢ φ). First-order logic is complete with respect to its standard semantics — distinct from the incompleteness theorems, which target…