Originally I had the same impression as you, but I'm starting to think the author didn't actually mean to imply your step 1. Their "now suppose for all sets of

Originally I had the same impression as you, but I'm starting to think the author didn't actually mean to imply your step 1. Their "now suppose for all sets of n" was a poor choice of phrasing and they meant something else than what the average person would assume. For example see https://news.ycombinator.com/item?id=29445778 https://news.ycombinator.com/item?id=29445778