> You have claimed, if I am remembering right, that something is right if it contributes to human well being,
I am saying this is how we use the words. As you have agreed, morality correlates with human well being. It could be that some being has dictated this to us but it wouldn't matter. The only way we can judge an action morally is with reference to human well being. It this were not the case then there would be examples of harmful actions that are morally good. And you have agree there are none. So there is clearly a direct correlation here that we both agree to.
> But if there really is a God, and idolatry and false religions lead people to eternal death
Then the person choosing to impose eternal death on these people is unfair and cruel. Nobody who practices polytheism does so out of any ill will towards other human or the real God if he exists. Teh real God in this case is enacting the worst possible punishment on someone for the "crime" of being honestly mistaken as to the nature of reality. It is completely arbitrary, ridiculous, and uncaring.
> Let me know if I have your syllogisms right:
No, it is not right. Your claim was something purely physical could not reason. A computer disproved this assertion. End of argument. Purely physical things can produce rational outputs.
A separate question is whether or not a biological "computer" can arise through natural processes. The evidence suggests that it can because the human brain appears to have evolved from simpler organisms through a natural process. There is no evidence of any non-physical component to the brain. So we know that purely physical things can produce rational outputs and the evidence suggests human brains could have developed through natural processes.
> What you claim is that human can reason freely
I have never claimed that humans can reason freely in some sense where they are not limited by their physical brain. All the known evidence suggests that the brain is purely physical and that it alone is the basis for human reasoning.
> Abductively speaking, inferring to the most reasonable conclusion leads me to theism, not logical positivism, scientific naturalism, or atheism.
This doesn't make any sense because at best all you can say is that you don't know how human reasoning is possible through natural processes. I think there are pretty obvious possible answers to this question, but even if you dismiss them all your logic is:
I can't explain something, therefore something supernatural exists.
This is not convincing and it should be obvious how such reasoning has led people to accept erroneous claims time and time again throughout human history.