By possessing illogical properties: omnipotence and omniscience for example. By being everywhere and nowhere. The Holy Trinity. Miracles. By comprising more information/energy/complexity than that which He is posited to explain - as an uncaused cause. By being Infinite and ineffable. And ultimately by being unnecessary.
Firstly, I thought the strict laws of causality had been shown to not apply in the quantum world, so complaining that there is some unknown mechanism that dissobays these laws that we have shown to be probably false anyway is a bit odd. It is certainly concevable that all these things you talk about do obay the principle of causality, but wee do not understand the proccess. And then logic. You know enough logic to know that you have to start with an axiom and go by logical steps to your conclusion. What axioms are you starting with to get these as logical falicies? Indavidually:
What is illogical about an entity that has such extent that he can know everything about our universe, and such power that he can do anything within said universe?
I am not sure who claimed god is nowhere. It seems quite concevable that his multidimensional presence could be such that it can best be described to us 3 dimensional beings as everywhere.
What is logically wrong with the holy trinity? Does not the US legislature have 3 seperate arms, but is one entity?
I guess you ment miricales violated causality. See above.
"By comprising more information/energy/complexity than that which He is posited to explain - as an uncaused cause." This I do not really get, but I shall try and make some comments, correct me if I am barking up the wrong tree. What does religion have to say about the cause of god? God is posited to explain the universe, why should he have less or more information/energy/complexitythan the universe? Can you not create somethign that has less or more information/energy/complexity than you?
I had to look up ineffable: "defying expression or description". Any multidimentional being would be ineffable to the human race until a few decades ago. It is certainly not a tenant of my christianity that god is essentially ineffable. It seems quite concevable that his multidimensional presence could be such that it can best be described to us 3 dimensional beings as infinate.
"And ultimately by being unnecessary." Unnecessary in what sence? We do not know he is unnessacery for the existance of the universe, we can say noting about what caused the big bang if anything did, so how can we know god is unnecessary for it?