From a good article by Arminian Roger Olson:
First, process theology assumes that to be is to be in relation. It is a relational, organic worldview.
Second, process theology avers that God is not an exception to basic ontological rules but is their chief exemplification.
Third, process theology asserts that omnipotence is a theological mistake; God is not and cannot be omnipotent. God’s only power is the power of influence (persuasion).
Fourth, process theology is a form of theistic naturalism; it does not have room for the supernatural or for divine interventions (miracles).
Fifth, process theology denies creatio ex nihilo, creation out of nothing, and affirms classical panentheism—God and the world are mutually interdependent. There is a sense in which God is dependent on the world (beyond self-limitation).
Sixth, process theology refers to God as “dipolar”—having two “poles” or “natures”—one primordial and one consequent. God’s primordial pole is potential only and consists of ideals. God’s consequent pole is actual and consists of God’s experience. The world contributes experience to God. God has no primordial experience. (Theologian Austin Farrer referred to this as process theology’s lack of “prior actuality in God.”)
Seventh, process theology regards God as radically temporal; God learns as history unfolds and how history unfolds is ultimately up to creatures (actual occasions). (“God proposes but man disposes.”)
Eighth, process theology reduces God’s creative activity to bringing about order and harmony insofar as possible. God is not the actual creator of the world or any actual occasion (the basic building blocks of reality). God can only create, however, with creaturely cooperation.
Ninth, process theology views Jesus Christ as different in degree but not in kind from other creatures. His “divinity” consists of his embodying the self-expressive activity of God (“Logos”) which is “creative transformation.” He is not God incarnate in any absolutely unique sense that no other creature could be.
Tenth, process theology denies any guaranteed ultimate victory of God or good over evil. The future is “more of the same” so far as we know. Ultimately, that is up to us, not God. God always does God’s best, but he cannot guarantee anything.
For full post, click here.