>>11684161Consider the set {1,2,3...} and its ordering, denoting its least element as its first, its second-least element as its second, etc. Then 1 is the first element, 2 is the second element, etc. Adding zero ruins this and then you have to do this hideous k+/-1 thing depending on what's under discussion. (Do not say: "one may speak of a zeroth element", because one may not in this case.) This is an example of a situation where it is decidedly un-natural to include zero.
>>11684862Happily, that will never happen as you well know, and your feelings are wrong.
