The Halting Problem Theorem is an intuitive way to prove inferential incompleteness for strongly-typed theories in which Gödel’s proposition I'mUnprovable does

The Halting Problem Theorem is an intuitive way to prove inferential incompleteness for strongly-typed theories in which Gödel’s proposition I'mUnprovable does not exist. Using Orders on propositions, the construction of Gödel’s proposition I'mUnprovable is blocked because the mapping Ψ↦⊬Ψ has no fixed point because ⊬Ψ has order one greater than the order of Ψ since Ψ is a propositional variable.