On Oct 31, 6:42 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > On 31 Okt., 20:40, William Hughes <wpihug...@gmail.com> wrote: > > > > > > > > > > > On Oct 31, 3:38 am, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > On 30 Okt., 22:40, William Hughes <wpihug...@gmail.com> wrote: > > > > > On Oct 30, 5:51 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > > > On 30 Okt., 16:39, William Hughes <wpihug...@gmail.com> wrote: > > > > > > > Yes, if you assume that only finite sequences exist, then the list > > > > > > of all finite sequences contains all sequences. I am underwhelmed.- > > > > > > I do not assume that only finite sequences exist. But I do not see how > > > > > an infinite sequence d_oo can be reached by the sequences of diagonals > > > > > d_1, d_2, d_3, ... whereas b_oo cannot be reached by the sequence of > > > > > bottom lines. > > > > > > Regards, WM > > > > > Can be reached,yes. Is reached, no. > > > > Who decides what is reached and what is not reached? > > > This is determined by the details of construction/definition of the > > object being considered. In this case the infinite "triangle" > > And in case of 0.111...? > > Regards, WM
In this case it is determined by the construction/definition of 0.111... Since in standard notation it represents a real number as the limit of partial sums it is unclear. If you think it represents some sort of sequence. whether it contains an endless seqence of 1's depends on your definition.
