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A Hierarchy of Infinities

A Hierarchy of Infinities

Season 1 Episode 4
8:04
Can We Hear Shapes?

Can We Hear Shapes?

Season 1 Episode 6
10:35
When Pi is Not 3.14

When Pi is Not 3.14

Season 1 Episode 7
11:31
Singularities Explained

Singularities Explained

Season 1 Episode 9
10:22
Kill the Mathematical Hydra

Kill the Mathematical Hydra

Season 1 Episode 10
13:29
How Infinity Explains the Finite

How Infinity Explains the Finite

Season 1 Episode 11
11:46
The Mathematics of Quantum Computers

The Mathematics of Quantum Computers

Season 1 Episode 12
12:35
Splitting Rent with Triangles

Splitting Rent with Triangles

Season 1 Episode 13
16:21
Infinite Chess

Infinite Chess

Season 1 Episode 14
12:19
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Infinite Series

Are Prime Numbers Made Up?

Season 1 Episode 2

Is math real or simply something made up by mathematicians? You can’t physically touch a number yet using numbers we’re able to build skyscrapers and launch rockets into space. Mathematician Kelsey Houston-Edwards explains this perplexing dilemma and discusses the different viewpoints that philosophers and mathematicians have regarding the realism of mathematics.

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Season
Voting Systems and the Condorcet Paradox
10:54
What is the best voting system?
Dissecting Hypercubes with Pascal's Triangle
14:17
What does the inside of a tesseract look like? Pascal’s Triangle can tell us.
Topology Riddles | Infinite Series
13:31
Can you turn your pants inside out without taking your feet off the ground?
Building an Infinite Bridge
13:23
Using the harmonic series we can build an infinitely long bridge.
Hacking at Quantum Speed with Shor's Algorithm
16:35
Classical computers struggle to crack modern encryption.
How to Break Cryptography
15:37
Only 4 steps stand between you and the secrets hidden behind RSA cryptography.
Can We Combine pi & e to Make a Rational Number?
13:29
Can you produce a rational number by exchanging infinitely many digits of pi and e?
Solving the Wolverine Problem with Graph Coloring
13:10
At one time, Wolverine served on four different superhero teams. How did he do it?
What is a Random Walk?
12:35
To understand finance, search algorithms and even evolution you need to understand Random
Proving Pick's Theorem
11:17
What is Pick's Theorem and how can we prove it?
5 Unusual Proofs
8:44
How logic, induction, visuals, bijections, and a little algebra can prove surprising math theorems.
Infinite Chess
12:19
How long will it take to win a game of chess on an infinite chessboard?
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