What I personally appreciate about science is that it has no ego. It doesn't seek to be right. It looks for what is, what works, and how. It does so by testing, by obersvation, by review over and over and over again, and by convening with other people looking at the same thing you are. And because of that, we are able to compile all from our sensory experiences into tools, medicine, transportation, and communication. We're able to be like trackers, who look at tracks in the mud left by an animal, and begin to tell a story based on information left behind. We're able to solve crimes and establish justice based on evidence and the scientific method, and not on superstition.
This method has allowed us to evolve from using pencils to write to the computers everybody in this thread is using today. This method has given us medicine for infectious diseases, including immunizations against diseases like measles and polio. This method has given us prosthetics for amputees, cars and planes for travel, hearing aids for people losing their hearing, and eyeglasses for people with bad eyesight.
Without science utilized in the public sector, we'd still be blaming evil spirits for sickness instead of the knowledge we've gained through evolutionary theory. Galileo would still be a heretic. The Earth would still be flat. The sun would go around the Earth. Women who dared have warts on them would be burned at the stake for witchcraft.
But the problem lies in the ego-grasping some religious thought impose on the debate. Meaning, "If science is ever right about some they say contrary to my religious book, then it means my religious book is wrong. My religion can't ever be wrong, because then I'd be wrong, and then all is lost!"
This is what I most appreciate about science....it teaches us that it really really really is okay to be wrong, and that we can learn from our mistakes. It shows us in very concrete ways that we can grow and learn, especially from our mistakes.