It’s the other way around. People didn’t have math that they tried to apply to the real world but had real world problems that they tried to solve with numbers.
Things like how many coins do I owe you? How many cows do I have? How much wheat do I need to survive the winter?
As the world became more and more complex, so did the problems that needed to be solved by math. For a very long time these real world problems drove the development of more complex mathematics.
How fast will this train go? How much fuel will this plane need? What’s the likely outcome of this event? What’s the distance between these two planets? What will the weather be like tomorrow? What will happen if these two particles collide? What’s the optimal path between multiple routes?
We just recently reached a point that we have more “math” that we can use right now, and scientists later realize that they can use an already existing “math” to solve a real world problem.
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