The three possibilities for opposed outcomes concerning the same subject are:
Hypothesized resultResulting problem
Both occurContradiction
Neither occursQuestion of incapacity
Only one occursQuestion of the other’s independence
This is an analysis of hypothetical conflict. It does not imply that two actual deities exist or that a real quarrel once occurred. The proof works by reductio: it examines the impossibilities following from an assumption in order to reject the assumption itself.