On 2/4/2013 6:26 PM, Virgil wrote: > In article <VOWdnVQYm_Mo1Y3MnZ2dnUVZ_u-dnZ2d@giganews.com>, > fom <fomJUNK@nyms.net> wrote: > >> On 2/4/2013 4:14 PM, Virgil wrote: >> >> <snip> >> >>> >>>> 4) In many cases the string cannot be defined by a finite word. >>> >>> That some reals are inaccessible is well known. >>> >> >> Are you saying that the real number system >> requires the existence of inaccessible cardinals? > > If, as WM claims, there are at most countably many ways of accessing > reals and, as Cantor claimed, there are more than countably many reals, > then ... > > http://www-history.mcs.st-and.ac.uk/PrintHT/Real_numbers_3.html
