Math with Bad DrawingsCartoon Archive

Clopen

September 8, 2020

A grid comparing closed, open and 'clopen' for sets (the whole plane is both), windows (no such thing) and minds.

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/2020-09-08-clopen/ (CC BY-NC 4.0)
Transcript

[Grid: Closed / Open / Clopen]

SETS: a disk with solid boundary / a disk with dashed boundary / the whole plane

WINDOWS: a closed window / an open window / ???

MINDS: "'Clopen'? Hogwash! Balderdash! I hate it!" / "'Clopen'? Intriguing! Tell me more." / "'Clopen'? Hogwash. Tell me more."

Topics
Advanced Math › Topology › Open & Closed SetsSets & Infinity › Set Theory
Level
College
Themes
Language & WordplayVisual ExplanationsGrowth Mindset