All the Numbers - Numberphile

More links & stuff in full description below ↓↓↓

Numberphile podcast is on your podcast player.

NUMBERPHILE

Videos by Brady Haran.
Editing of this video by Pete McPartlan.

Yes we went for the sometimes English spelling constructable... Constructible is more common and probably better!

[brogcooper]

It's reassuring to hear a mathematician say they read a math paper and couldn't comprehend it.

[filipw]

"You like math? Name every number then."

[davidlittlewood]

-We're going to do all the numbers
-We're not going to do Complex numbers


Oh

[robertofontiglia]

"An infinite series that gives you pie." -- Isn't that the Great British Bake-off ?

[tonyhakston]

0:15 There are only three whole numbers: 11, 17, and 3435.

[cubefox]

"As mathematicians we're thinking we are getting somewhere, but up until now we have found none of the numbers."

[martinwalls]

I love how the code on the laptop animation actually does compute pi when you run it! Attention to detail!

[Aceronian]

I see Matt is trying to one up the other numberphile presenters by talking about *ALL THE NUMBERS*

[kennyearthling]

I would love them to make a sequel to this, including the imaginary, hypercomplex numbers and hyperreals and asurreals etc.

[EebstertheGreat]

e was the first number that arose "naturally" in math to be proven transcendental, but the actual first numbers were the Liouville numbers in 1844, deliberately constructed for the purpose of being transcendental.

[Mmmmmmkai]

"this is where numbers are, and we have none" is so funny to me

[Ken.-]

3:42 _Rap Lyrics_

Which? We don't know
Pi to the e
We don't know
e to the e
We don't know
Pi to the Pi
We don't know
Right, these are all in the cusp!

[barefootalien]

|*facepalms*| Mind blown in the first thirty seconds. Decades of math and science, a full understanding of what rational numbers are, and only when he says, "The rational numbers—those that are *ratios* ..." do I finally make the connection between those two words...

Thanks, Matt!

[mpupster]

You should do a video about the 100 page proof in Principia Mathematika of how 1 + 1 = 2

[FMFF_]

I just love everytime a different subject illustrates this saying:
"The more you know, the more you know you dont know"

[MikuJess]

So the majority of numbers are normal and noncomputable, but we don't know a single one? It's like... the mathematical version of dark matter.

Dark mather.

[Matias_Zimmermann]

In the article "Borel normality and algorithmic randomness" Calude proved that every Chaitin's constant is normal.
So, exist a non computable number, which is normal.

[hyungilkoo]

5000 years ago: we need something to help count stuff! Let’s call it numbers!



Now, in 2020: we don’t know most of the numbers!

[p]

We need a video on non-computable numbers! (please)

[DonGeritch]

this video should be called 'None of the Numbers'