Complex numbers, which use the variable i (the square root of -1) are invaluable in science and engineering, and widely used as a tool to aid calculation.
But they don't make sense in terms of our natural, "instinctive" understanding of mathematics, were the square root of a negative number is not permitted. It's as if we momentarily dip into an imaginary mathematical universe when using equations with complex numbers, then pop back into the real world once we've got the answer (in engineering for example). So, the question is ...
Is there any philosophical interpretation of the meaning of i? Is it evidence for some other "dimension" to the universe, or something similarly esoteric? Or perhaps no one really understands it at all, as Dick Feynman said of quantum physics.