LudovicoVan
Posts:
3,780
From:
London
Registered:
2/8/08


Re: Cantor's first proof in DETAILS
Posted:
Nov 12, 2012 1:18 PM


"Zuhair" <zaljohar@gmail.com> wrote in message news:86a85cce2a844c9fb860527958274b50@o8g2000yqh.googlegroups.com...
> Let a_0 = x_0 > Let b_0 be the first entry in (x_n) such that b_0 > a_0. > Let a_i+1 be the first entry in (x_n) such that a_i < a_i+1 < b_i. > Let b_i+1 be the first entry in (x_n) such that a_i+1 < b_i+1 < b_i.
In Cantor's proof a_{i+1} and b_{i+1} are the two first entries encountered (in any order) in (x_n) *after* the entries corresponding to a_i and b_i. This does not seem to be the case with your proof, where it instead seems that entries are just picked every time restarting from the beginning of (x_n).
Could you clarify? I'd like to be sure before I proceed reading it...
LV

