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Artwork for Reasonable Hope (Math)
Reasonable Hope (Math) · Thursday · 3 min

What If Your Assumption Is Wrong?

A proof by contradiction begins with an assumption and follows it until something becomes impossible. The irrationality of the square root of 2 reminds us that honest reasoning must be allowed to challenge our own beliefs.

0:00-3:19
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A proof by contradiction begins with an assumption and follows it until something becomes impossible. The irrationality of the square root of 2 reminds us that honest reasoning must be allowed to challenge our own beliefs.

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