IMHO, the "deeper truth" is addition is translation and multiplication is rotation/stretching (at least when it comes to rings and fields). It involves gettin

IMHO, the "deeper truth" is addition is translation and multiplication is rotation/stretching (at least when it comes to rings and fields). It involves getting a geometric understanding of e to the pi i, and 3blue1brown explains it better than I could: https://www.youtube.com/watch?v=F_0yfvm0UoU https://www.youtube.com/watch?v=F_0yfvm0UoU [6.28 min] https://www.youtube.com/watch?v=v0YEaeIClKY https://www.youtube.com/watch?v=v0YEaeIClKY [3.14 min] https://www.youtube.com/watch?v=mvmuCPvRoWQ https://www.youtube.com/watch?v=mvmuCPvRoWQ [25 min]