definitions: equality of opportunity = x equality of outcome = y equation: y = f(x, [z1, z2, ...]) where z1, z2, ... are possibly other factors determining y

definitions: equality of opportunity = x equality of outcome = y equation: y = f(x, [z1, z2, ...]) where z1, z2, ... are possibly other factors determining y you seem to say that y = f(x) You need to prove that z1, z2, ... don't exist and that y = f(x) has a causal relationship Both can be proved or disproved through numbers. In case the numbers don't exist, one suspends judgement.