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Infinite Series
How Big are All Infinities Combined? (Cantor's Paradox)
Season 2
Episode 15
Infinities come in different sizes. There’s a whole tower of progressively larger "sizes of infinity". So what’s the right way to describe the size of the whole tower?
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9:12
Can you save the target from his assassin in a square room with bouncy walls?
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9:32
Can you stack four colored cubes so that each color only shows once on each side?
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10:31
Set theory is the foundation of all of mathematics. How does it handle infinity?
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9:36
When you think about math, what do you think of knots? Probably... knot.
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10:21
In SET, what is the maximum number of cards you can deal that might not contain a SET?
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10:50
If Fermat had a little more room in his margin, what proof would he have written there?
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10:07
In the physical world, objects are made of simpler parts. What are numbers made of?
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9:35
Could you explain numbers to someone without using the notion of a number?
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7:17
What shape do you most associate with a standard analog clock? Circle or... torus?
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8:01
What happens when you divide things that aren’t numbers?
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8:57
You know the Golden Ratio, but what is the Silver Ratio?
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8:16
The proof for Brouwer's Fixed Point Theorem uses a bridge between geometry and algebra.