I'm curious about what does science mean to people. You're free to explain why did you chose it over any "supernatural" interpretation of the world, but I guess there are a few topics out there already with similar confessions. I want to know the reasons for one putting faith in Science, either s/he spares some for 'outside' the material or not.
I'm also curious about how would you define the purpose of science. How does it serve mankind exactly, and if so, where are its limits?
Thought I'd throw my two cents in here.
In your question/explanation you ask about reasons for putting faith in science. I would describe science as being the opposite of faith. Faith is to believe in something with no proof whereas science is the pursuit of proof. The scientific method says to question and test everything, believe nothing without proof. Even when we think we know something, it can often turn out we didn't quite grasp it. Newtons theory of gravity was changed by the creation of the general theory of relativity. So too does the theory of G relativity change. This is the nature of science.
So, science is the antithesis of faith. This is also the same reason why I choose to follow science for possible answers, as opposed to a theology. Maybe science will one day discover a creator. I don't know.
As to its practical uses and benefits, the more we know about the world and how it works the more we can change things for the better. Obviously we humans are fallible, it isn't always for the betterment of us. But the scientific method has given many gifts, from medicine to technology. Science doesn't deliver this alone but it is a vital piece of technological progression with things like math, economics and engineering.
Science is limited in a number of ways. How advanced our technology is, computers and sensors particularly for the abilities to detect and model. It is limited by how far we can see. Given that space is vastly, hugely, mind- bogglingly big, we will probably never get to see most of it up close. It's limited by the physical limitations of our universe itself. Black holes are thought (theory) to bend spacetime to such an extent that the laws of physics break down. There is a reasonably high likelihood that we would not be able to measure the interior because anything we send would not just be destroyed, but would also have no way to send data out either. So that is a possible physical limitation to science. We are also limited by ourselves. How willing are people to accept new ideas. Economics, how we decide to spend our economic output.
The thing about science is that because it is not the basis of a faith based belief mechanism, these limitations are acknowledged and accepted. The unknowns are the point of having science. To me that is also honest which is why I prefer to look to science. The true truth, when it comes to God or no God, is nobody knows. At least science accepts that.
As an additional note, science should not be confused with atheism. Science isn't offered as an alternative to religion, as it is so often misunderstood to do. Science is just about observing the world around us, attempting to understand the processes. There are many agnostic and theist scientists out there. There are also many atheists who do not trust the conclusions of scientists unquestioningly, some not at all. So there really isn't a question of having to choose between science and belief in a theology, except that science is unlikely to provide evidence for those beliefs.