actually, there's nothing really wrong with saying striking at the core of integrity. the idea of "integrity" is a thing in much the same way honor, courage and truth are. to strike at the core of integrity, then, would mean to question the very foundations and definition of the concept in and of itself, not necessarily the integrity of a thing. that is to say, when you mention the "integrity" of the game, you are speaking of the basic values and assumptions of fair play that fans and spectators expect when watching or participating in the sport. but "integrity" obviously can be applied to more than just sport: the integrity of politicians, the integrity of parents, etc. that core idea of "integrity," not as a description or characteristic of some other thing, is, i believe, what he is getting at, that is to say, that following your logic would be a blow to the very definition of integrity regardless of its context. my 2 cents, i'd like my change and shall not speak more to the subject. i'm also not giving you gruff or being glib, just saying he is not in the wrong for his usage of "integrity" in the manner that he did.