Skip to main content

The Paradox of Gabriel's Horn

Joel David Hamkins

9:10 minute excerpt from the lecture The Paradox of Giants: Strange Consequences in High Dimension

The paradox of Gabriel's horn is derived step by step: revolving 1/x around the x-axis yields an object with finite volume (π) but infinite surface area.

Read Transcript › Watch Full Lecture › Watch on YouTube ›

From the Course

Lectures on Infinity

Lectures on Infinity

Watch Videos

JOEL DAVID HAMKINS guides viewers through the great paradoxes and discoveries about infinity, from Zeno's ancient puzzles to Cantor's revolutionary proof that some infinities are larger than others.

more excerpts

Superpositions Descartes Ontological Proof of God The Halting Problem