The only way to escape the axiom of identity is to expound no theories, shut your mouth and die. Even then, as you breathe your last defiant gasp of rebellion, it will be you that ends a life not me, not someone in a dream, not the Sun God Ra but you. A is A. If you die, you are the one who is dead. Again, we are at a crossroads. Since A is A, we are safe in assuming that knowledge means knowing, and that wisdom refers to something else.
Dictionaries are only marginally helpful in establishing what's what.
Too often, they report usage, rather than philosophical validity. I, for one, would not be willing to let anyone else define anarchy. Nor am I keen to let the common person tell me the distinction between knowledge and wisdom. Philosophy is a personal task. You can consult your neighbor if you wish, but let's hope your neighbor is better equipped than dear Mrs. Squance in the upstairs flat.