On Oct 26, 7:36 pm, Gus Gassmann <horand.gassm...@googlemail.com> wrote: > On Oct 26, 5:28 am, Graham Cooper <grahamcoop...@gmail.com> wrote: > > > > Therefore the sequence (d_n) cannot include d_oo. > > > but MAP(d_n) is equivalent to d_oo > > > 1 12 123 1234 ... > > > So you have a different paradox. > > > An infinite width container of finite width objects. > > Can you explain why that should be a paradox?
N = 1 2 3 ...
is interchangeable with
MAP(N) = 1 12 123 ...
which is a digestible form of the infinite sequence N
1 12 123 ..
which the rows are finite width
but the set of rows combined is equivalent to N
1 2 3 ...
which is infinite width.
The set of rows combined is the SET or CONTAINER
N = !1 ! !12 ! !123 ! !.. !
which has infinite width despite all the members being finite width
I think there is a possible contradiction here, as logically sound as the SIZE(R) > INFINITY rigmarole!