# djbinder comments on On infinite ethics

• As an aside, while neutrality-violations are a necessary consequence of regularization, a weaker form of neutrality is preserved. If we regularize with some discounting factor so that everything remains finite, it is easy to see that “small rearrangments” (where the amount that a person can move in time is finite) do not change the answer, because the difference goes to zero as . But “big rearrangments” can cause differences that grow with . Such situations do arise in various physical situations, and are interpretted as changes to boundary conditions, whereas the “small rearrangments” manifestly preserve boundary conditions and manifestly do not cause problems with the limit. (The boundary is most easily seen by mapping the infinite interval sequence onto a compact interval, so that “infinity” is mapped to a finite point. “Small rearrangments” leave infinity unchanged, whereas “large” ones will cause a flow of utility across infinity, which is how the two situations are able to give different answers.)