I propose that Creationism does the first approach and that science does the second. If you start out with the conclusion you can always find evidence. Doesn't Creationism work that way?
Actually you are wrong and its pretty easy to prove. Almost every single branch of science was started by a creationist. Thats a historical fact thats undeniable. There were few atheists around when various sciences were founded. Creationism came about because of man's first recognition of design in the world and the universe. Thats why almost every society we have found is religious. So it was a rational thesis that came about looking at the evidence. not the other way around. If you asked many of the founders of science they would have told you (and some even stated so in their writings) that God was a perfectly rational scientific conclusion to draw. It wasn't till the 1800s where that thesis was challenged by Darwin but Darwin didn't even address many of the reasons people found creationism compelling evidentially. He only took up the issue of life changing and evolving after we already had it, didn't touch the fine tuning of the universe and gave no answer to the creation of the universe that we still grapple with today.
Thats why most people still believe in God in almost every poll taken. Creationism had hundreds of years of observation of design and to this day Evolution only addresses (somewhat spottily and dubiously) what happens after we have the remarkable design of life.
SO to use your analogy. the criminal had already been arrested because the evidence pointed to him. Only recently did someone (darwin) claim he was not involved and and yet they (Darwin) never addressed all the evidence against the suspect we already had in custody
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