On the one hand the truth of brute facts is independent of logic. On the other, logic does not dictate an equation between philosophical causality and physical (or temporal) causality, only your refusal to accept the Church's understanding is at issue here, not any matter of sound deduction.
Besides, for all your denials, proposing Arius' error of seating the begetting of the Son within time, you suffer from one of the worst cases I've ever witnessed of the malady that makes people think theology is a synthetic science like mathematics, rather than a positive science like chemistry.
If you ever get around to reading the Acta of Nicaea, you might follow with Dionysius the Areopagite's On the Divine Names, and a good history of the Palamite controversy.
I am only being quarrelsome because you erroneously expounded the meaning of the Creed based on your 'logic', in such a way as to reach Arian conclusions: time being created, to insist that the begetting of the Son is within time implies 'there was when the Son was not', the very formula for which Arius was condemned as a heretic.
Those are axioms. I must say that my belief if God is non-axiomatic.
"On the other, logic does not dictate an equation between philosophical causality and physical (or temporal) causality,"
Causality for any action, is singular and unique. The logical equation is A=A. If more than one cause is claimed for any physical action, the determination of real cause depends on the evidence. It can not depend on anything else. Bayes theorm may be applied and the evidence weighed.
"only your refusal to accept the Church's understanding is at issue here, not any matter of sound deduction."
The matter is one regarding the determination of truth and logic applies, not authority.
"Besides, for all your denials, proposing Arius' error of seating the begetting of the Son within time, "
Arius held that the Son was created and was an inferior God. I pointed out, that I don't believe that in #7902. The proposition is false.
"time being created, to insist that the begetting of the Son is within time implies 'there was when the Son was not', the very formula for which Arius was condemned as a heretic."
No, as per #7902. God must exist in time. His time is not the same as in this universe. His clock is not our clock. If God did not exist in time, then there is no measure of eternity. Time is simply equal to zero and nothing exists. There's no clock to sequence events, ponder, make decisions, or to order cause and effect. In #7882, I pointed out that God always had the capacity to act by "begetting", or "proceeding" Those acts are not an act of creation. They are simply extending one's self. Now no action whatsoever, can proceed the decision to act, regardless of what anyone says. Since God is logical, He would never say He acted before He decided to Act.