An important aspect of life is balancing priorities, which is basically like trying to find a solution that satisfies multiple equations.
We know from linear algebra that a system of equations has (1) zero solutions, (2) exactly one solution, or (3) an infinite number of equally good solutions.
So if life is all about balancing equations, then it seems that one of the three possibilities is correct:
- There is no purpose of life.
- There is exactly one purpose of life.
- There is an infinite number of equally good purposes in life.