On 1 Apr., 15:30, William Hughes <wpihug...@gmail.com> wrote: > The number of things Induction works for is infinite. > > Each of these things is finite. > > You can use induction to show that > if you remove a finite thing > then the union of all lines does not change. > > You cannot use induction to show that if you > remove an infinite thing then the union > of all lines does not change.
How do you use to call nonsense? Piffle?
WH: "The number of things Induction works for is infinite." Therefore induction works for all finite numbers and here for all finite lines.
> You can only have no lines left if you > remove an infinite thing.
Piffle. It is sufficient, and possible by induction, to remove every finite thing, namely every finite line.