On Apr 5, 11:09 am, WM <mueck...@rz.fh-augsburg.de> wrote: > On 4 Apr., 23:08, William Hughes <wpihug...@gmail.com> wrote: > > > Nope. Any single element can be removed. This does not > > mean the collection of all elements can be removed. > > You conceded that any finite set of lines could be removed. What is > the set of lines that contains any finite set? Can it be finite? No. correct > So the set of lines that can be removed form an infinite set.
More precisely. There is an infinite set of lines D such that any finite subset of D can be removed.
This does not imply that D can be removed.
It does however imply that there is no single element of D that cannot be removed. That this does not imply that D can be removed is a result that you do not like, but it is not a contradiction.