Not a mathematician, but not following why you think nature doesn't follow logic. The physics of the Universe follows a predictable path. Life is the variable. As Darwin pointed out, most life can be predicted as to path. Our "free will" discussions, no matter how limited the choices, demonstrates another variable.
Agreed on the Big Bang. It's the beginning of our Universe, not an explanation of how it came to be.
Agreed. Neither do I nor, I suspect,
@NiftyNiblick. We can all have uninformed opinions about the nature of the universe, but what I consider most important is the attitude of the person giving it.
Technology has been a boon to human beings. Yes, it presents new problems, but even though it is strange and new, it's solved more problems than it causes.