Math with Bad DrawingsCartoon Archive

The Liar Paradox, Diagrammed

2016

A flowchart of the liar paradox: assuming the sentence true or false each leads to a contradiction.

Use this cartoon

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/2016-01-01-the-liar-paradox-diagrammed/ (CC BY-NC 4.0)
Transcript

"This sentence is false." → if true → accept what it says → so it's false! / → if false → reject what it says → so it's true! → Contradiction!

Topics
Logic & Proof › Liar ParadoxLogic & Proof › ParadoxesLogic & Proof › Self-ReferenceLogic & Proof › Truth Values
Level
Middle SchoolHigh SchoolCollege
Themes
Visual ExplanationsSelf-ReferencePuzzles & Problems