Struggling to understand the first premise of the Transcendental Argument for God
I'm not Orthodox, only inquiring. The transcendental argument for God seems to be a popular argument for Orthodox Christianity. I understand the argument as this:
P1: For there to be transcendentals (logic, time & space, self, number theory, etc), there must be God. Orthodox Christianity is the only worldview that can justify transcendentals.
P2: The transcendentals do exist
C: Therefore the Orthodox Christianity worldview is correct and God exists.
I struggle with premise 1. Why couldn't it have been that an impersonal deity created logic, time & space, etc? Why does this argument specifically prove the Trinity to exist? Why does it specifically prove the Orthodox denomination to be true and not other denominations?
I've talked to an Orthodox Christian about the Transcendental Argument for God. When asked these questions, he said that Orthodox Christianity is the only worldview that can justify logic, but he cannot explain why.