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Why We Can’t Divide By Zero

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August 29, 2025

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Neil deGrasse Tyson & Grant Sanderson (3Blue1Brown) | Divide by Zero, Black Holes & the Riemann Hypothesis

Why is 1 ÷ 0 “undefined”—and is there any math where it does make sense? Grant shows how projective geometry adds a point at infinity to model the idea, while Neil connects “division by zero” to black-hole singularities—places where equations blow up, signaling the limits of our theory, not bad math. They highlight how new math leads physics (Riemannian geometry → curved spacetime) and end on the Riemann Hypothesis, the $1M problem tying complex analysis to the pattern of primes.

From 'Tackling the Biggest Unsolved Problems in Math with 3Blue1Brown'

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Guests & Subjects Covered

Grant Sanderson BlueBrownZero Black HolesRiemann Hypothesis WhyRiemann HypothesisBiggest Unsolved ProblemsBlueBrown' GetBeyond A JourneyCosmic Discovery'

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