"Peter Webb" <webbfamily@DIESPAMDIEoptusnet.com.au> wrote in message news:4c1d7dce$0$316$afc38c87@news.optusnet.com.au... > >>> My whole argument is that they cannot be listed in their >>> entirety, or we could use a Cantor construction to >>> produce a computable Real not on the list. >> >> You are wrongly assuming that only computable sets exist. > > No.
Good. Then why wouldn't the "Cantor construction" you talk about above produce a non-computable real?