Consequences of conflating quantity, direction, distance 1 + 1 = 2 1 + -1 = 0 -1

Consequences of conflating quantity, direction, distance
1 + 1 = 2
1 + -1 = 0
-1 + 1 = 0
1 * 1 = 1
1 * -1 = -1
-1 * 1 = -1
-1 + -1 = -2
-1 * -1 = -1 instead of 1
ergo complex numbers, like absolute value, are a function – a compensation for a grammatical error, and not numbers