Title: Gödel’s Bureau of Endless Appeals
Scene: The Bureau of Endless Appeals – A sterile, dimly lit government office. A large sign on the wall reads:
"All appeals will be reviewed in accordance with the Bureau’s Incompleteness Policy: If your appeal is accepted, it will be rejected. If it is rejected, you may appeal, provided you understand that appealing constitutes acceptance of the rejection."
Characters:
Herr Gödel – The head bureaucrat, impossibly old, shuffling papers endlessly.
Franz – A desperate petitioner trying to resolve an appeal.
Clerk #1 – A functionary who follows the Bureau’s policies to the letter.
Clerk #2 – A functionary who follows the Bureau’s policies to a different but equally valid letter.
The Infinite Queue – An ever-growing line of silent, hollow-eyed petitioners stretching into eternity.
[Franz enters, clutching a thick folder of documents. He approaches Clerk #1.]
Franz: Excuse me, I submitted an appeal six months ago. I still haven’t received a response.
Clerk #1: Let me check. [Shuffles through an impossibly tall stack of papers.] Ah, yes! Your appeal has been rejected on the grounds that it was accepted.
Franz: …What? That makes no sense.
Clerk #1: Oh, I see the problem. [Flips through more pages.] Ah! You submitted Form 27-B. You should have used Form 27-B*'.* The prime notation indicates recursive eligibility.
Franz: Can I submit the correct form now?
Clerk #1: Of course! Please fill out Form 3-F to request permission to amend your original submission.
Franz: …Fine. [Fills out the form, hands it over.]
Clerk #1: Excellent. I’ll just need you to sign this Acknowledgment of Incompleteness, affirming that by submitting this request, you accept that no final decision can ever be made.
Franz: But… I need a final decision!
Clerk #1: In that case, you’ll need to speak to Herr Gödel himself. [Gestures toward an imposing oak door marked "Final Authority."]
[Franz enters Herr Gödel’s office. Herr Gödel is a frail, ancient man surrounded by papers, an abacus, and a slowly ticking clock.]
Franz: Herr Gödel, I beg you. Just give me a definitive answer.
Gödel: Ah, my dear boy, have you not read the sign? Here, all decisions are subject to revision. In fact, the very act of deciding means we must reconsider!
Franz: But surely you can grant my appeal?
Gödel: If I grant your appeal, then I have created a contradiction, for the Bureau does not grant appeals. However, if I deny it, you may continue appealing indefinitely. The system sustains itself! Marvellous, don’t you think?
Franz: No! I just want an answer!
Gödel: The answer is yes. And no. But not both. Unless it is.
Franz: …I think my brain just broke.
Gödel: Excellent! That means the system is working as intended. Next! [A new petitioner shuffles in as Franz is escorted out by Clerk #2.]
[As Franz stumbles into the hallway, he turns to Clerk #2.]
Franz: So… what now?
Clerk #2: Now you get back in line. [Gestures to The Infinite Queue, stretching endlessly into the distance.]
Franz: No. No. No. I refuse!
Clerk #2: Very well. In that case, you must submit Form 9-X to opt out.
Franz: Fine! Give me Form 9-X!
Clerk #2: Ah, but Form 9-X is only available upon request from someone still in the queue.
Franz: NOOOO—
[Lights fade as the queue advances. The system remains intact.]