On the contrary. I think that "real" and "imaginary" numbers are both discovered and neither concept has more reality than the other. I think that even chess r

On the contrary. I think that "real" and "imaginary" numbers are both discovered and neither concept has more reality than the other. I think that even chess rules have a meaningful "existence" (in a Platonic sense) even if they are in some sense arbitrary. We can't discover "the one true rule system" but we can discover various possible systems and also theorems about them.