Skip to main content

Up Next

What are Numbers Made of?

What are Numbers Made of?

Season 2 Episode 12
10:07
The Geometry of SET

The Geometry of SET

Season 2 Episode 14
10:21
Unraveling DNA with Rational Tangles

Unraveling DNA with Rational Tangles

Season 2 Episode 16
9:36
Defining Infinity

Defining Infinity

Season 2 Episode 17
10:31
Instant Insanity Puzzle

Instant Insanity Puzzle

Season 2 Episode 18
9:32
The Assassin Puzzle

The Assassin Puzzle

Season 2 Episode 19
9:12
Episode 5: The Calling

The Calling

Season 4 Episode 5
53:05
When Whales Could Walk

When Whales Could Walk

Season 51 Episode 1
53:31
Back to Show
Infinite Series

What Does It Mean to Be a Number? (The Peano Axioms)

Season 2 Episode 11

If you needed to tell someone what numbers are and how they work, without using the notion of number in your answer, could you do it?

Support Provided By
Season
The Assassin Puzzle
9:12
Can you save the target from his assassin in a square room with bouncy walls?
Instant Insanity Puzzle
9:32
Can you stack four colored cubes so that each color only shows once on each side?
Defining Infinity
10:31
Set theory is the foundation of all of mathematics. How does it handle infinity?
Unraveling DNA with Rational Tangles
9:36
When you think about math, what do you think of knots? Probably... knot.
How Big are All Infinities Combined? (Cantor's Paradox)
13:02
Infinities come in different sizes. So what's the right way to describe the sum?
The Geometry of SET
10:21
In SET, what is the maximum number of cards you can deal that might not contain a SET?
What was Fermat’s “Marvelous" Proof?
10:50
If Fermat had a little more room in his margin, what proof would he have written there?
What are Numbers Made of?
10:07
In the physical world, objects are made of simpler parts. What are numbers made of?
Telling Time on a Torus
7:17
What shape do you most associate with a standard analog clock? Circle or... torus?
How to Divide by "Zero"
8:01
What happens when you divide things that aren’t numbers?
Beyond the Golden Ratio
8:57
You know the Golden Ratio, but what is the Silver Ratio?
Proving Brouwer's Fixed Point Theorem
8:16
The proof for Brouwer's Fixed Point Theorem uses a bridge between geometry and algebra.
Active loading indicator