The purpose of this post is to sketch an argument for the nonexistence of God based upon the logical incompatibility of divine aseity and the existence of God. In Martin’s and Monnier’s taxonomy of arguments for atheism (see The Impossibility of God, Buffalo: Prometheus, 2003), this argument would be classified as a “deductive disproof of the existence of God.”
The Doctrine of Divine Aseity Formulated
Let us begin by defining the doctrine of divine aseity as follows:
(A1) God does not depend on anything distinct from himself for his existing; and
(A2) Everything distinct from God depends on God’s creative activity for its existing.
 See, e.g., Bergmann and Bower.