If mathematics is just a useful tool we made up, then how can it describe the world with perfect accuracy? And how come as soon as you remove mathematics and mathematical equations from physics, physicists can no longer objectively explain or predict anything?
In: Physics
If a shovel is just a useful tool we made up, why does it move the dirt we find in the world so well?
Because we designed it that way. The same is true for math. The universe does things that correspond to adding and multiplying and cosines and integrals and differential equations, math was invented to describe what the universe does. There are areas in math the are completely abstract and don’t relate to any sort of physical reality, but most math has its origins in trying to describe some sort of physical phenomenon.
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