[aliceryhl]

> When the math tells me something very wrong, can't the context and meaning show where the math model is wrong?

The point is that when learning a new part of physics, it is far more likely that your intuition was wrong as the math was right, even if it's surprising.

Sure, the mathematical model is not a perfect model, but it can still be _very_ good, so if you disagree with it, you're very likely to be wrong.