
Re: Another funky proof
Posted:
Feb 26, 1998 6:10 PM


In article <Eoz9qM.FwF@exeter.ac.uk>, rjchapma@exeter.ac.uk (R.J.Chapman) wrote:
=> Peter Ammon writes: => > Let S = 1 + 2 + 4 + 8 + 16 + 32.... => > => > Then 2S = 2 + 4 + 8 + 16 + 32 + 64..... => > => > Thus, S = 2S + 1 => > => > S = 1 => > => > Thus, 1 + 2 + 4 + 8 + 16 + 32... converges to 1. => > => > Q.E.D.!!! :) => > => If you're working in the 2adic numbers, this is fine!
Even if you're working in the integers, it's fine, as long as you use the 2adic valuation. No need to go to the completion.
Gerry Myerson (gerry@mpce.mq.edu.au)

