Does God have a nature?

[Gregory]

Nature is the intrinsic principle of motion in a thing. God is pure act. Motion is the actualization of a potency. Therefore God does not have a nature.

I know the Church has declared that God has a nature. What is wrong with my reasoning?

[Gere Mia]

The word "nature" literally refers to things that can be born (change from non-existence to existence). When referred to God, "nature" is synonymous with "essence". See how St. Thomas uses the terms in, e.g., Summa I q. 3 a. 3 c.