[EDITED to remove some details that I put in to help TheOtherDave tell whether we're talking about the same thing. We were. It's in Hofstadter's "Metamagical Themas". Details removed lest they spoil it for others.]
A few random extracts (i.e., bits that I happen to remember from the transcript) that may help determine whether this is what you had in mind: "I like to understand up without seventeen clams"; "What are arms? That information is classified." "That's nice. What else do you like to call 'GEB', Doug?"
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Punchline now redacted :-).