I just got here and threw in my two cents. No one suggested I do anything.
But anyway, St. Thomas Aquinas covers some ground.
I’ll mention the simplest and most logic-based argument for God:
Disregarding Hume’s self-refuting nonsense that causality is an illusion, everything needs something to precede it in order to set it in motion. The universe is finite. This can be determined by ruling out both an infinite time line into the past and circular time, as infinite time leads to infinite regression, and circular time faces a similar problem; there is no origin from which to proceed. Also, something cannot spawn from nothing, as nothing by definition means just that. Infinite void. Therefore, the initial cause must have transcended our temporal universe. This can be referred to as Law, Will, God, whatever. Let’s say God.
“Oh, well what created God?”
What moved the unmoved mover? Interesting question. Seeing as God transcends our temporal universe as an infinite state of being, we can neither comprehend the fact nor ask that question. As ridiculous as that sounds, logic dictates that it’s a definite possibility, considering our finite existence. Dawkins suggests that there is a greater truth simply being filled by the concept of God until it is discovered. Ironic, as he is placing just as much faith on nothingness as some place faith on the concept of God. Maybe there is no greater truth, or maybe the very existence of a single atom suggests God. If you cannot find God in Creation or in the next person you meet, any further search is futile. You decide.
Also, here’s a simple rebuttal to God:
{God} = All = Something ∪ All = All
This creates an indistinguishable line between God and All. Simple mistake is that the equation should look like this:
{God} = Allo = Something ∪ Allo = All
God is the origin, and we are his external form, therefore our universe does not compromise his existence and vice versa.
Anything else? There’s not too much more super logic-based ideas unless you decipher Aquinas’ ramblings.