03/15/2012 06:53 am ET Updated Mar 15, 2012

Martin Short And Letterman Talk Rush Limbaugh And Offending Mel Brooks (VIDEO)

Wednesday night on "The Late Show," (weeknights, 11:35 p.m. ET on CBS) Martin Short and David Letterman discussed Rush Limbaugh's latest controversy and their own experiences of offending people.

"It was odd to me," joked Short. "Here's Rush, who calls this woman 'a prostitute,' when normally he just calls a prostitute! That's what I don't understand."

"I've said and done things," admitted Letterman, "for which I've had to apologize on a regular basis." How about Short? Has his comedy ever offended someone?

Yes, Mel Brooks, as it turned out. Short -- in character as outrageous TV talk show host Jiminy Glick -- asked the director, "What's your big beef with the Nazis?"

Brooks was not amused, and he told Short/Glick to move on and edit out the question.

What, mused Letterman, would happen to a comic who didn't take those sorts of risks? "Well, I guess you have a very successful career!" quipped Short.

"Late Show With David Letterman" airs weeknights at 11:35 p.m. ET on CBS.

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