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The Rest Is Science

Two Infinities... And Beyond (Infinity Part 2)

The Rest Is Science

Goalhanger

Science, Physics, Mathematics

4.51K Ratings

🗓️ 30 March 2026

⏱️ 51 minutes

🧾️ Download transcript

Summary

Why were the ancient Greeks absolutely terrified of the infinite? How did a boundless mathematical concept start bitter historical feuds? And what happens to reality when you realise that some infinities are actually bigger than others? Professor Hannah Fry and Michael Stevens (VSauce) plunge back into the mind-bending history of infinity, tracking the spectacular panic it caused across the centuries. From individuals trying to mathematically contain it, to others wrestling with its endless quantities, they explore how the greatest thinkers clashed over the universe's most impossible idea. The chaos truly peaks with Georg Cantor, the man who completely broke maths by proving that infinity comes in different sizes. Building on part one, where Hannah and Michael desperately tried to figure out if this strange beast is an actual number or just a brilliant hallucination, this second episode looks at the human cost of counting forever. ------------------- For more information about Cancer Research UK, their research, breakthroughs and how you can support them, visit ⁠⁠https://cancerresearchuk.org/restisscience⁠⁠ Cancer Research UK is a registered charity in England and Wales (1089464), Scotland (SC041666), the Isle of Man (1103) and Jersey (247). A company limited by guarantee. Registered company in England and Wales (4325234) and the Isle of Man (5713F). Registered address: 2 Redman Place, London, E20 1JQ. ------------------- Find The Rest Is Science all over the internet by ⁠⁠clicking here.⁠⁠ ------------------- Video Producer: Adam Thornton + Oli Oakley Video & Social: Bex Tyrrell Assistant Producer: Imee Marriott Producer: Simona Rata Senior Producer: Lauren Armstrong-Carter Head Of Digital: Samuel Oakley Exec Producer: Neil Fearn Learn more about your ad choices. Visit podcastchoices.com/adchoices

Transcript

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0:00.0

Welcome to the rest of science. I'm Hannah Frye. And I'm Michael Stevens. I think there comes a point

0:04.2

in every child's life where they ask what's beyond the stars, right? How big does it get? In that regard,

0:11.7

I mean, they're kind of similar to every human who's ever lived, right? Where does it end? Does it end, Michael?

0:18.0

Does it end? And what if it doesn't? And what if it doesn't? But what if it does?

0:23.9

Because there's like a strange thing going on here. If you say, no, it's finite. The universe is finite. Well, then it has to be bounded by something. And then what about that thing? Is that infinite or is that finite? Because if that's finite,

0:38.3

then that has to be bounded by something. And then so on and so on and so on and so on.

0:42.4

I know. If there's a boundary, what bounds the boundary?

0:46.0

What bounds the boundary? Right. And this is all happening in our heads. Like no matter

0:51.5

how rational you try to be about explaining that something

0:54.2

ends, I can always go, I disregard that and it continues. In my imagination, with this

1:01.3

piece of meat up here, this like wet, squirting computer, I can go now, forever, beat that.

1:09.9

So that is what we are talking about today.

1:11.7

We are talking about whether there is a bound to the universe, whether there is a bound

1:16.2

to our thoughts, whether infinity actually exists, or where there is all a complete figment

1:22.4

of Michael's squishy wet computer in his head.

1:31.0

This This is squishy wet computer in his head. This episode is brought to you by Cancer Research, UK.

1:34.2

If you wanted to type out the entire human genome,

1:38.1

you would have to type at 60 words a minute for eight hours a day for about 50 years.

1:45.0

Okay, that's the scale of the DNA rulebook inside each one of your cells, telling it when to grow, when to divide, and when to stop.

1:53.0

And different tissues read that same rule book in different ways.

1:56.0

So a skin cell doesn't behave like a lung cell.

1:59.0

And cancer can begin when those instructions change,

...

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