What are the Funniest Proofs in Geometry?

  • Context: High School 
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Discussion Overview

The discussion revolves around humorous approaches to proving geometric concepts, focusing on various informal and comedic "proofs" that participants have encountered or used. The scope includes theoretical and conceptual aspects of geometry, as well as personal anecdotes related to these proofs.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants reference "Proof By Illegibility" as a humorous tactic used in mathematical arguments.
  • One participant suggests renaming Trigonometry to "Proof By Calculus Class" as a joke about the complexity of proofs in that area.
  • Another participant mentions "proof by obviousness," where one claims something is trivial without detailed explanation.
  • There is a mention of "proof by making everyone else feel stupid," characterized by the use of phrases like "clearly" or "one can see by inspection that..."
  • A participant shares an experience where a paper's author used a method that seemed clear but required extensive algebra for others to understand.
  • One participant humorously notes the "Proof by lack of sufficient time" as a common experience in academic settings.

Areas of Agreement / Disagreement

Participants share a general appreciation for the humor in these proofs, but there is no consensus on which humorous proof is the funniest or most effective.

Contextual Notes

Some humorous proofs rely on subjective interpretations of clarity and triviality, which may vary among individuals. The discussion does not resolve the effectiveness or validity of these humorous approaches.

Who May Find This Useful

Readers interested in the intersection of humor and mathematics, particularly in geometry, may find this discussion engaging.

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I've used Proof By Illegibility on more than one occasion. :smile:
 
Proof By Calculus"This proof requires calculus, so we'll skip it."

Hmm they should rename Trigonometry to Proof By Calculus Class/
 
Those are very funny. I just wave my hand at it and say, "oh, it's trivial. It's trivial."

I guess that counts as "proof by obviousness".
 
Math Is Hard said:
Those are very funny. I just wave my hand at it and say, "oh, it's trivial. It's trivial."

I guess that counts as "proof by obviousness".

That's kind of my favourite. That, or the "proof by making everyone else feel stupid if they can't show something." This is usually done by using phrases such as "clearly," or "one can see by inspection that.."

I was reading a paper a few months ago when the author used the second method. I was stuck for ages thinking how this was clear from inspection of two equations. I brought it up with my supervisor who said "oh yea.. that's something that the author can do by inspection, but any of us mortals need to take two pages of algebra to show" :smile:
 
Ooh, I've definitely had that "Proof by lack of sufficient time" trick pulled on me in classes!
 

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