this post was submitted on 04 Jul 2024
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Not sure if I'm taking the bait but here goes.
Science is a set of processes where you take belief out of the equation. You can start with something akin, which when you have informed belief you have an hypothesis which you set out to prove. You don't hold that as truth and anything not falsifiable is not a valid hypothesis.
Science is not a religion, it's just a thing. Plenty of people need to belief to function and end up having (even a blind) faith in science, using it as a religion.
On your second point I'm with you on the last part though I think you are calling religions and believes things that are organized religion and religion.
In any demonstration, you have to make some unproven statement, taken as true. It could be "1+1 = 2" or "God exists". So sciences are methodologies based on believes. Lot of religions use logic and reasons, based on science and philosophy, to deduce things from their core believes. This is theology.
So if both science and religions are based on believes, and could have the same methods, how to distinguish one of the other ? We could argue that science try to reduce believes as possible. Personally I'm not good enough in sciences to argue with religious people, and demonstrate that point. In trying to challenge my believes in scientific models, I have to stay tolerant with religious people (I'm not sure I would otherwise); which is a most productive approach. Furthermore, it helps to have a critical point on view on science (as you've said, and to taking it as a blind faith)
If you need unproven statements to prove something, then it isn't science.
You do have start somewhere. Complex numbers have an impossible assumption at its core. But it needs to be falsifiable. You need to be able to prove it isn't true and fail at it.