Infinity (from Scratch)

Did you know that there are different types of infinity, some larger than others? Rasmusfribble puts his accent out onto the net for all to mock, and hopefully you'll find out 10 minutes worth of interesting stuff about the weird and wonderful world of infinity at the same time.

Category:

Science & Technology

Tags:

• maths
• math
• mathematics
• infinity
• cantor
• cantor's
• diagonal
• argument
• cheese
• toasties
• hilarious
• british
• accent
• funny

[Typho0n86]

All the decimilas from 0 to 1 = infinity. To put them in a list from 1 to infinity you need to order them to make them fit, you cannot just place them randomly like u have done in the video, 1=0.5 2=0.25 3=0.66... You can start with 1=0.1, 2=0.2, 3=0.3, 4=0.4...6456=0.6456... 584935034=0.584935034 and so on, and infinity = 1, So what ever number you are at you can just place a "0." in front of it, and there u go u have a list that fits to infinity from 0 to1 and they match,

[rasmusfribble]

@Typho0n86 0.6666... doesn't have a natural number to go with it.

[RXP91]

I've been fascinated by Infinity ever since I first saw Dangerous Knowledge on the BBC when it first aired. I remember googling frantically trying to understand Cantor's argument to no avail. Tonight's the first time I've finally got it. Thanks so much for making this video.

[rasmusfribble]

@RXP91 Awesome! So glad I could be of assistance.

[Jhopnik]

Good work, math guy. Here's looking at Euclid....

[Amandeep26983]

The last one that was ingenious...awesome..although it is kinda hard to believe that the number of integers and natural numbers are the same..

[Typho0n86]

@anticorncob6 good work

[anticorncob6]

@Typho0n86 2/3 is not infinity.

[Typho0n86]

@anticorncob6 infinity is not a natural number, so if ur going to list all the numbers down then, 666,666,666,666........ or 2/3 will be on it. its the same infinity

[anticorncob6]

@Typho0n86 666,666,666,... is not a natural number, and you have to pair up the NATURAL NUMBERS with the real numbers.

[lecoffeebandit]

Finally someone who can explain this without making me doze off into a mind numbing stupor! Thanks for helping me pass my math final nice British man!

[enjoy2204]

@RXP91 Exactly, i'm also who was inspired by the Dangerous Knowledge. Since then i've been trying to understand (a glimpse) of what Cantor's discovered.

@rasmusfribble Thanks for your video!

[faceshed]

I loved this video.

It puts my mind at easy to think about it like this:

If anything was truly infinite we would know because it would take all energy, space and time in all dimensions and then more to hold it. There would be no room for us.

The set of integers is just a set of numbers that CAN go on as long as you keep counting, like a car that can go on as long as you keep putting fuel in it.

does that make a spaceship more infinite than 0 to 1 because it can work in 3 dimensions?

[MISTERASMODEUS]

This was beautiful...Keep up the great work!!

[bridgemaniii]

...find a point where you could not continue the diagonal, but the diagonal would continue indefinately between 0 and .1 alone.....okay never mind I give up