Following the sports team thought for a moment... how do the following names and logos make you feel?
Washington Redskins

Florida Seminoles

Edmonton Eskimos

Cleveland Indians

Notre Dame Fighting Irish

With the Eskimos, even though they have long removed anything aboriginal-related from the branding, the name itself is considered an ethnic slur against Inuit, akin to referring to Jews as Kikes or Italians as Wops. I think obviously there'd be a lot of discomfort if somebody named their pro sports team "the Brooklyn Wops". The Redskins is similar. Not sure how I feel about the logo... it's obviously a depiction of a historical Native American, but I'm not sure it's an offensive depiction. The Cleveland Indians logo is pretty clearly offensive.
All of the above have caused some amount of controversy, and I can understand the reasons why. With the Florida Seminoles, I find neither the name nor the logo offensive. I've never actually heard of any controversy involving the Florida Seminoles, and I included it here because I thought maybe it might be an example of something where the line is harder to describe. And the same with the Fighting Irish logo... is it actually offensive to Irish people?
-k