On Thu, 4 Apr 2013 14:08:59 -0700 (PDT), William Hughes wrote:
> On Apr 4, 10:45 pm, WM <mueck...@rz.fh-augsburg.de> wrote: >> On 4 Apr., 20:57, William Hughes <wpihug...@gmail.com> wrote: > > <snip> > >>> A collection need not share a property >>> that every one of its elements has. In this case >>> every one of the elements of the collection has the property >>> that it can be removed without changing the union. >>> The collection does not have this property. >> >> That is impossible if all elements can be removed. > > Nope. Any single element can be removed. This does not > mean the collection of all elements can be removed.
Just like one cannot make a infinite set by keeping to add a finite number of elements to a finite set.
Now WM tells that mankind cannot build an "actual" infinite set, which it takes a prove "actual" infinite sets cannot exist.
