The priest declares that he's been saved by divine intervention, so he's let go. The lawyer is put on the block, and again the rope doesn't release the blade. He claims he can't be executed twice for the same crime, and he is set free, too. I see your problem. Engineers think that equations approximate the real world.
Scientists think that the real world approximates equations.
Mathematicians are unable to make the connection. There are at least 10 types of capacitors. Theory tells you how a circuit works, not why it doesn't work. Not everything works according to the specs in the instruction manual. Anything practical you learn will be obsolete before you use it, except the complex math, which you will never use.