I liked how you argued how there are and were plenty of examples of equations which don't have exact solutions.

My question is, is there room for a "new" number system, perhaps the super-complex numbers, that solve these equations? After all, this is how we have solved "illegal" equations throughout history.

I liked how you argued how there are and were plenty of examples of equations which don't have exact solutions.

My question is, is there room for a "new" number system, perhaps the super-complex numbers, that solve these equations? After all, this is how we have solved "illegal" equations throughout history.

Great article, many thanks!