From: utzoo!watmath!cbostrum Newsgroups: net.math Title: .000...1 Article-I.D.: watmath.4441 Posted: Mon Jan 31 16:25:53 1983 Received: Mon Jan 31 23:53:23 1983 Someone just said that the sequence with an infinite number of zeroes followed by a one, such as might occur in the famous debated "expansion" .000...1 does make sense. But it does, for everyday mathematicians. In fact, it is a sequence indexed by the ordinal numbers from 0 to omega+1. no problem, for a mathematical platonists, and most mathies today are platonists. They also dont find any problem in having two objects touching. Condsider for example the two "intervals" [0,1] ]1,2]. Dont blame me, i didnt invent this so-called "cantorian paradise".