TED-Ed: How big is infinity? - Dennis Wildfogel

The video explores the concept of infinity, starting with the idea that there are as many even numbers as whole numbers. It explains the fundamental concept of matching elements one-to-one to determine set sizes. Cantor's method for listing fractions is introduced, followed by a discussion on irrational numbers and their infinite nature. The video highlights Cantor's contributions to mathematics, including the notion of different sizes of infinity. It concludes with the continuum hypothesis, an unsolved problem in mathematics, and its implications for the limits of mathematical reasoning.

What is the continuum hypothesis and why is it important?

How did Gödel and Cohen contribute to the understanding of the continuum hypothesis?

Discuss the implications of Cantor's work on the concept of infinity in mathematics.