> 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.
> So the set of lines that can be removed form an infinite set.
> Now you > will claim, that not all finite lines (of this infinite set that > contains only finite lines that can be removed) can be removed.
Right, removing finite sets from infinite sets does not modify the cardinality of finite sets.
> This is a contradiction.
Wrong, there is no finite number that specifies an infinite cardinality thats why one cannot say: Let W=oo, for i=0...W(remove a finite subset), because there is just no infinite index number W.
> Not to recognize it as such is madness.
You are the sick and dirty idiot - not so the rest of the world.
> But it is set theory.
Nope, but you are an disgusting asshole.
> As such madness is a prerequisite of set theory.