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Infinite Series
How Infinity Explains the Finite
Season 1
Episode 11
Peano arithmetic proves many theories in mathematics but does have its limits. In order to prove certain things you have to step beyond these axioms. Sometimes you need infinity.
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9:32
Can you stack four colored cubes so that each color only shows once on each side?
9:36
When you think about math, what do you think of knots? Probably... knot.
13:02
Infinities come in different sizes. So what's the right way to describe the sum?
10:21
In SET, what is the maximum number of cards you can deal that might not contain a SET?
10:50
If Fermat had a little more room in his margin, what proof would he have written there?
10:07
In the physical world, objects are made of simpler parts. What are numbers made of?
9:35
Could you explain numbers to someone without using the notion of a number?
7:17
What shape do you most associate with a standard analog clock? Circle or... torus?
