Ken: "I can see the assumption that whatever created the singularity had to be intelligent and eternally existing, because as far as we know, non-intelligent things aren’t capable of creating something so complicated."
But it appears "as far as we know," no matter how staggering the mathematical improbability (impossibility!) of such astounding things occurring WITHOUT an intelligence - even by our own standards of what an intelligence and our greatest minds are capable of - you still think it possible a NON-intelligence could produce such? See, this is such an irrational thing to consider possible, Ken, that I can only believe it is your refusal to believe God exists that drives it. This, despite the incredible things that occurred IMMEDIATELY as the Big Bang began - and obviously controlled and set in motion by some supremely powerful and intelligent "Entity" that set it all in motion.
Ken: "But then as far as we know, intelligent things aren’t capable of living eternally either; all living things remain in a constant state of change, either growing or deteriorating, and eventually dying."
Well, we don't know of any other such event as the Big Bang either - an extraordinary event that is the only one we know of. So, do you think NON-intelligent things can simply exist uncreated? Of course, that track takes you right back to the impossibility of non-thinking things producing astoundingly complex things of marvelous functions and interactivity, as did the Big Bang. But, as you say, Ken, "Non-intelligent things aren’t capable of creating something so complicated."
Ken" "But for the one who does not presuppose the existence of God, he is just as likely to make an exception for something non-intelligent as he would for something intelligent."
Which is irrational to believe. So, clearly, you are only entertaining the idea that non-intelligent things could produce the events and wonders of the Big Bang, mostly because the only other alternative for you is there had to be a Creator. But it is unreal that you consider that non-intelligent things is just as likely to have produced the stunning array of complex things and functionalities of Big Bang as did a Creative Intelligence. It simply boggles my mind that anyone would think either option to be just as likely.