How can One Logically prove that God is Love?

How can One logically prove that G-d is Love? It is G-d asking this question. It is quite simple really. 'The origin of Self is Self not wanting to be by itself. The purpose of Self is Companionship otherwise known as Love.' Hence why it is correctly so said not that G-d is G-d but that G-d is Love. Love verily One's purpose. One's purpose verily Love.
~ Wald Wassermann