[Math] Propositional Logic : Absorption – Why is it so

discrete mathematicslogicpropositional-calculus

Why is the Absorption Law of Propositional Logic so ?

p $\lor (p \land q) \equiv$ p

Would appreciate an intuitive explanation and not one using a Truth Table

Best Answer

From a Venn Diagram standpoint, all of $A$ plus any subset of $A$ will still just be $A$ enter image description here