Unfortunately, nothing can every be proven so neither science nor religion will every be fully accepted. However, have you ever heard the phrase "If it walks like a duck, quacks like a duck, then it is probably a duck", that is a simple example of what science is. But here is some "proof" for you.
- Medication is based upon organic chemistry and biology, if chemistry and biology was all a lie, then how would people be able to make working medication?
- The General Theory of Relativity Says that depending on the speed of an object and gravity around the object time will move differently. How do we know for sure? Well when we first sent up communication satellites into space we noticed that there clocks were to slow/fast. When we applied relativity to the satellites compensating for the time difference, there clocks were now perfect.
- Newton showed that the planets orbit in an elliptical orbit not circular one, but at first he didn't know why. After discovering Calculus and creating his "laws of motion" he could now tell you why. Moreover, using these Laws we can predict where a planet will be at any given time in the future.
Science is noticing what happens, and making "Laws" so that we can predict what is going on. What is the proof that science works? Every advancement in technology and medication. There is only one alternative to the scientific method and that is trial and error.