On Apr 11, 9:51 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > On 11 Apr., 20:52, William Hughes <wpihug...@gmail.com> wrote: > > > On Apr 11, 8:17 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > On 11 Apr., 19:19, William Hughes <wpihug...@gmail.com> wrote: > > > > > > So you agree that B implies A. > > > > > yep, but A does not imply C: P(d_1,d_2,d_3..) > > > > That is your interpretation. > > > One you agree with, > > Not at all!
Yep, you have agreed that saying something is true for every element of a collection does not imply that it is true for the collection.
Now let P be (can remove the collection without changing the union of the remaining lines). We have there is no contradiction in saying A: for all n, the nth line can be removed because A does not imply C and only C is a contraction.