Different sized infinities - Part 3 - Joe Rogan and Neil deGrasse Tyson discuss #shorts

Подробнее о видео

Neil deGrasse Tyson introduces Joe Rogan to transcendental numbers and how this results in different sized infinities.

Please subscribe to help me create original, high quality science and tech content!

#joerogan #neildegrassetyson #jre

I'm also trying a more comical approach with this video. This won't be general style of the channel, but it was fun to try.

---

Future Here covers cutting edge science and technology including:

Space exploration
The NASA James Webb Telescope
AI
Data science
Biotech
Renewable Energy
Solar power
and other interesting future technology
#science
#technology

Transcript:

The universe is under no obligation to make sense to you.

That's rational. That makes sense to me.

I've Tweeted that before.

So, it makes sense to you that the universe

is under no obligation to make sense?

Yes.

So it's okay if your brain hurts when I say there's a ranking of infinities.

But you shouldn't say that doesn't make sense.

Therefore it is not true.

I definitely wouldn't say that.

But what confuses me is the word infinity,

because I had always taken the word infinity

to mean something that has no end.

So how can something that has no end

be larger than something else that has no end?

So the way to demonstrate that mathematically is you

map one item in the set of this infinity

to corresponding items in the set of the other infinity.

So you do this. So you take the one and you map it to like the first transcendental number.

Take the two to the second. You just keep doing this.

And when you do that mathematically, what you find that one infinity outstrips the other infinity.

Wow!

And then you're left with more with more numbers.

So that shows you that you have a bigger infinity.

---

This video is under Fair Use:

Copyright Disclaimer Under Section 107 of the Copyright Act in 1976; Allowance is made for "Fair Use" for purposes such as criticism, comment, news reporting, teaching, scholarship, and research.
Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, educational or personal use tips the balance in favor of fair use.

All rights and credit go directly to its rightful owners. No copyright infringement intended.