User blog comment:Vel!/Googology and well-defined-ness/@comment-4224897-20141007121620/@comment-2033667-20141013042821

ellipses are not a mortal sin, but they should be handled with care. in googology it is easy to abuse them -- at the worst they create nonsensical expressions (like "# n #^^@ m = n #^#...#^# (@ #^#'s)" from aarex's nested cascading-e notation). it's better to use induction.