Math with Bad DrawingsCartoon Archive

You're Not Real!

2024

3 mocks i for not being real, then explains that 3 is a nested set of empty sets, and has an identity crisis.

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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-you-re-not-real/ (CC BY-NC 4.0)
Transcript

3: "Ha! You're not real!" i: "Devastating insult. And tell me, what's the nature of your reality?" 3: "Well… if {} = 0 is the empty set… then I guess you can think of me as the set {0, 1, 2}, which is to say, { {}, {{}}, {{}, {{}}} }." i: "And your word for this is… 'real'?" 3: "WHO AM I???"

Topics
Number & Arithmetic › Imaginary NumbersNumber & Arithmetic › Real NumbersSets & Infinity › Set Theory › Von Neumann OrdinalsSets & Infinity › Empty SetMath Culture › Philosophy of Math
Level
High SchoolCollege
Themes
Self-ReferenceLanguage & WordplayMath Culture
People
John von Neumann