Name: How big is infinity?
Uploaded: 2018-11-07T21:55:11Z
Duration: 7 min 1 s
Description: Using the fundamentals of set theory, explore the mind-bending concept of the "infinity of infinities" -- and how it led mathematicians to conclude that math itself contains unanswerable questions. [Lesson by Dennis Wildfogel, directed by Aaron Augenblick, narrated by Dennis Wildfogel].

Using the fundamentals of set theory, explore the mind-bending concept of the "infinity of infinities" -- and how it led mathematicians to conclude that math itself contains unanswerable questions. [Lesson by Dennis Wildfogel, directed by Aaron Augenblick, narrated by Dennis Wildfogel]. 

Dennis Wildfogel: How big is infinity?

How big is infinity?

Exploring the concept of infinity, we discover that even numbers and whole numbers are equally infinite, challenging our intuitions.

Cantor's diagonal argument reveals a startling truth: there are different sizes of infinity, with some infinities larger than others.

The continuum hypothesis and its exploration showcase that mathematics houses questions that are fundamentally unanswerable.