I still don’t understand how mathematicians use math in the real world and how they figure this out
In: Mathematics
Math was invented, first, as an applied tool. We derived math *from* the real world, so that’s how we know we can link it to it.
Later, as Math became its own thing, we began to think about it more abstractly, as a subject of inquiry unto itself, and there stopped being a guarantee that it would link to anything in the real world.
In the end, today, Math has a variety of disciplines and subjects. “Math” isn’t a whole, cohesive thing, but rather has many branches. Some of them tie very strongly to the real world because they are designed to do so; we observe the real world and derive the mathematical equations that describe it. Others are more abstract; we come up with some set of rules and see what mathematical conclusions we can draw from those rules, without regard to whether there are any real-world applications.
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