The Dude and Brandt, rich Jeff Lebowski's fawning personal assistant, tour the Lebowski mansion.
They focus on a group portrait of The Little Lebowski Urban Achievers, a charity for inner-city kids who do not have, according to Brandt, "the necessary means for the necessary means for a higher education." (Brandt is very weird.)
Then the Big Lebowski himself shows up. He's in a wheelchair, which he says happened as a result of fighting in the Korean War.
The Dude tries to explain that there's been a mix-up name-wise, and that his beloved rug has been unfairly peed upon. The Big Lebowski doesn't seem to get it. Or doesn't want to.
The Dude tries to explain that the toughs probably meant to rough up the Big Lebowski: "I'm not Mr. Lebowski," he says, "you're Mr. Lebowski. I'm The Dude. Or His Dudeness. Or Duder. Or El Duderino if you're not into the whole brevity thing."
The Big Lebowski doesn't find The Dude's argument compelling.
The Dude leaves the Big Lebowski's office and sees Brandt, who asks him how the meeting went.
The Dude said it went OK and tells him that the Big Lebowski told him to take any rug in the house. Smooth.