Religion isn't firm belief. It is codified belief.
A follower of one may have beliefs that go against their religion, but in doing so, they are typically breaking its rules. It is the 'order' that doesn't like to budge at changing demographics, knowledge, and circumstance - aka 'chaos'.
Sure, the elite will budge. I mean, religious leaders throughout the world are funding top-end technology research. They're also often breaking their own rules, living lives that go directly against what they tell others to do (you can see this in more fundamentalist Islamic nations, for example), but the followers are typically instructed not to think about it and to live their lives in confident service of the 'code' that gives their lives order and purpose. A codified belief, but not always a firm one.
Science may have an element of this, but for the most part, it actually exists to challenge itself. For example, 'evolution' may be a 'scientific fact', but by being a *scientific* fact, that opens itself up to any good new information that may overturn it as 'fact'. Religion typically does not operate in this way. Instead of facts persuading it, it requires just a critical mass of the followers and/or leaders being dragged along through history, societal developments, or more secular laws.
Join a religion to make sense of your life and your place in the world.
Study science to employ your healthy self into advancement and understanding of the world itself.
They're not always exclusive, but at their fundamentals, yeah, they are.
Someone believing in a religion is to even a small degree, flying against pure logic.
Someone believing in science is to even a small degree, relying on reason over ascension.
Sometimes believing in something beyond you is exactly what you need in order to want to make the world a better place.
Sometimes learning of things that would be heresy in your religion, is exactly what you need in order to actually improve the world.
You can submerge yourself into religion without any exposure to science, and you'll probably be okay, but may get 'outdated' fast in this age.
You can submerge yourself into science without any exposure to religion, and you'll probably be okay, but may find your life lacks an external direction that religion may provide (though other entities really like to take the place of this now, like the State, the Corporation, the Community, etc).
TLDR; both religion and science have their place, but that place may be ever changing. Scientists are becoming more open to the concept of the beyond, at least in grander theories. The religious are becoming more open to incorporating scientific discoveries into their code. In some sense, though many may disagree with me, having at least some organized sense of the spiritual may be what humanity will always need if it wants to stay human through the centuries. We just need to do it right. Don't expect your personal religious interpretation to stand the test of millenia though. There's a reason why End Days concepts exist, and I believe (lol) that it is because we can otherwise logically deduce that enough changes happen over the centuries that your exact religion as-it-is, won't be that way in the future - disrupting the order that you want to exist under. This doesn't just happen in religion, but it tends to be a core aspect of it - especially Western/Middle-Eastern ones.
-an agnostic atheist (EDIT: With some spiritual leanings, respect for religious stories and place in historical development)
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