Question: logic just made up stuff like religions.

Logic is explained through mathematical rules, which are not man-made, but man-discovered. A simple example:

1) if A is true, then B is true.
2) If B is true, then C is true.
3) Therefore, if A is true, then C is true.

That relationship was put into words by man, not made up by him. It doesn't matter whether you believe it or not; it is true nonetheless.

I have heard a discussion that religion is man's way of trying to explain death. As such, it is an extension of logic, with a lot of information yet to be discovered to verify or refute people's statements. If you think this is a useless endeavor, so be it; that's your prerogative. I don't think it's useless; in fact, I use many religious discussions to guide the way I live.