The System of Structural Equation and Counterfactuals——Discussion on a Set of Sufficient Conditions of Transitivity
Counterfactuals is a kind of mathematical calculation in the system of structural equation.Based on the actual situation,we can assign the value of endogenous variables,and solve equations in the model,which can judge the value of counterfactual sentences so as to verify whether there is a coun-terfactual dependence relationship between variables.Structural equations represent the causality of varia-bles and explain counterfactual.The agent's intervention can not only break the original causal structure and build new connections among variables,but also change their belief and rebuild a new cognition of the world.The set of sufficient conditions for the transitivity of causality set by Halpern can explain the counterexample of transitivity to some extent,and the calculation method in the model can prove the tran-sitivity of causality defined by Lewis according to counterfactuals.Causality is transitive among variables{ X1,…,Xn-1,Xn }(n ≥3),i.e.any variable Xi is counterfactual and depends on variable Xi-1.There is a unique causal path from X1 to Xn.