The Axiom of Choice Beeps
A mathematician invokes the Axiom of Choice (building a Vitali-style set) and the board starts beeping like a truck in reverse.
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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.
Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2024-01-01-the-axiom-of-choice-beeps/ (CC BY-NC 4.0)Transcript
"[The Axiom of Choice] is sufficiently troubling that we feel the need to point out every time we use it, a bit like trucks that start beeping when they go into reverse." – Eugenia Cheng
[Board: S = ⋃{se^(iq) : q ∈ ℚ}; "Create X ⊂ S by picking an element from each orbit…" surrounded by BEEP! BEEP!] Mathematician: "Uhhhh…"