Plenty of people believe in gods that aren't claimed to be "first causes". These gods don't count as gods in your approach?Nonsense as I included the concept of God which is a metaphysical claim requiring no direct religion but is based on first cause arguments.
So now we've gone from the generic term "god" to "God-with-a-capital-G"... and even a very specific form of that: the "classical monotheism" model of God.The concept of God in a strictly philosophical context; first cause, teleological, ontological, moral, etc arguments.
I was right: you ARE only talking about some gods.
So your definition excludes polytheism and "non-classical" monotheism. In your mind, were the ancient Greeks, for instance, atheists?That it covers all concepts of God from philosophical, metaphysical and religious.
See above.