So don't do that then.He's not on to anything new in mathematics since it is already known that you can't draw valid conclusions about divergent series by regrouping their terms.
Sure you can do arithmetic with divergent series. Euler lead the way. Hardy wrote the book. G.H.Hardy, Divergent SeriesIf he were dealing with convergent series (he isn't), normal arithmetic would be applicable. Both series are divergent, though, so doing arithmetic with them leads to an erroneous result.