In his pamphlet "Continuity and Irrational Number", in section IV, "Creation of Irrational Numbers", Dedekind compares two cuts $(A_1,A_2)$ and $(B_1,B_2)$. He then considers the case when the two classes $A_1$ and $B_1$ are not identical, and, $a_1$ is the only element in $A_1$ that is not contained in $B_1$. In this he proves that the cut $(A_1,A_2)$ and $(B_1,B_2)$ are produced by the same rational number. Then he says, "The two cuts are then only unessentially different". What does "unessentially different" mean?