I think the point that many people refuse to question their "faith" is a clue which tells us that they believe because they want to believe, regardless of any factual basis.
I'm not against faith I believe everybody has the right to believe whatever they choose to believe. And if they do then obviously there are good reasons why they do so, my guess is the reason is it makes them feel better.
There is no evidence that near death experience can change human thinking to the "belief" in any statistically significant numbers. The only people who claim to become "believers" after such experience are probably people already on the verge of believing due to their psyche or education or both.
the natural generalization of a turing machine to infinity would be a hyper turing machine: an infinitely wide tape and infinitely many heads.
i think language of "god" is mostly expressed in terms of infinities. e.g. pi (most infinite numbers are inexpressible to us, since most infinite numbers are transcendental numbers)
2. The alphabet our math uses is pretty much all finite. What percent of the axioms and theorems that you know are infinitely long? Shouldn't the overwhelming majority of axioms and theorems be infinitely long (and in particular map onto an uncountable set?). It just seems natural given the circumstances.
That is just my guess in most cases, but of course there can be many different reasons.
It is a bit ironic yes. I remember talking to Christians who told me it is basically a sin to NOT believe. So if you don't believe, it is not just that God didn't give you that gift of faith, but that you really have to force yourself to believe, or else you go to Hell. And you have to believe that it is not you who is forcing you to believe but it is God that makes you believe, if and when you do.
But my point was not really about whether to "believe" or not, but how does it come to be that you believe the very specific set of beliefs that you do, which I assume vary from person to person even within the same congregation.
1. What are the statements about what you call "God" that you believe in?
2. Why do you believe just that set of statements and not some other set of statements?
I believe that the answer to 2., if they are honest, would most often be: They believe the set of statements they believe because they WANT to believe just those statements. And why do they want to believe just such a set of statements? Because believing what they believe makes them feel good.
They want to believe those statements, and here's the minor miracle: Just because they want to believe those statements, they also all of a sudden do believe them. At least they claim they do.