 Ramsey assumes that it does not matter what the candidates for \(A\) and \(B\) are. We may assign arbitrarily to \(A\) and \(B\) any two real numbers \(u(A)\) and \(u(B)\) such that \(u(A) \gt u(B)\), thought of as the desirabilities of \(A\) and \(B\) respectively. Having done this for the one arbitrarily chosen pair \(A\) and \(B\), the utilities of all other propositions are determined.