Lukas' Notes

logic

Definition

Modus Ponens

The modus ponens is a deductive argument form and rule of inference. It can be summarise as

If the antecedent A is true, then the consequent C must also be true.

Formally, for any atoms and :

Soundness

Completeness

Frege’s Logic

In Frege’s Logic, modus ponens serves as the fundamental rule of inference that licenses the step from and to .