I still don’t understand how mathematicians use math in the real world and how they figure this out
In: Mathematics
Math works by having assumptions and seeing what implications they have.
We make lots of assumptions about the world around us. These assumptions can be studied in math framework. You can see what implications they have, and then check out reality if those predictions of math end up being part of reality. If yes, well, you are probably interested in seeing if you could replicate this feat of prediction.
Math is not really restricted in any way to the reality though. Assumptions you make in math land don’t have to have anything to do with reality. Plenty of areas of math are based on assumptions that were thought to be outlandishly silly and inconceivable to be part of reality. Until 10 or 100 or 1000 years later we found out that some aspect of reality actually fits all those assumptions and we can use that math to predict that thing.
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