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UPDATE3: The video is now live! We made it to about 190th, so well done everyone! I’m proud of you all.

My new video will go up in about eight hours from now (5pm British Summer Time) but is already uploaded and unlisted. PLEASE FOLLOW THESE COMMENTING INSTRUCTIONS.Now, I don’t mind people who comment “First” etc but they are never in the right order. So on this video we’re going to do it properly!Last night at my live show I handed out numbered tickets and everyone commented in order. So the first comment is actually “First!” the second comment is “Second!” and so on.But of the 250 people there we only got through the first 40 or so.So if you want to join in now: only comment with the next ordinal number!

UPDATE: Don’t trust the number of comments. You need to sort “newest first” and then add the next one.

UPDATE2: Sorry if I have deleted your comment. We missed 81 and had to lose a bunch after that. If you’re deleted: you can comment again. I am also going to be locked in a radio studio for a lot of today, so please check very carefully before you add a comment. I can delete comments but not insert new ones. Only comment if you can see all the previous ordinals in order (even with bonus wrong ones mixed in). I’d hate to have to remove loads because we missed one.

Don’t worry: I will delete duplicates. Just ignore them. Only comment once each please. If you want to genuinely comment on the video (if you spot a mistake, omission, etc) please do so on the Patreon post. Once it’s a listed video the comments will be the usual free for all.Together we can do this. Bring order to YouTube comments.

Files

Ordinals vs Cardinals (and how many algebraic numbers are there?)

If you want to see the transfinite ordinals, then check out the Vsauce video "How To Count Past Infinity". https://www.youtube.com/watch?v=SrU9YDoXE88 Here is Simon Pampena's Numberphile video about algebraic and transcendental numbers. https://www.youtube.com/watch?v=seUU2bZtfgM My personal favourite way to order and count the rationals. https://www.youtube.com/watch?v=DpwUVExX27E Watch James Grime show that the reals are uncountably infinite. https://www.youtube.com/watch?v=elvOZm0d4H0 Here's what Mathsworld has to say: http://mathworld.wolfram.com/OrdinalNumber.html http://mathworld.wolfram.com/CardinalNumber.html Here is a good English translation of Cantor's 1874 paper "On a Property of the Class of all Real Algebraic Numbers". https://srjcstaff.santarosa.edu/~jomartin/IrratFiles/Cantors1874Paper.pdf CORRECTIONS - The polynomial which first appears at 3:40 has "n+1" which should be "n-1". - Not all complex numbers are algebraic: only some of them are. I phrased this in an ambiguous way. - Let me know if you spot anything else! Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset: Susan Moury Bruce Patterson Derek Chandler Facundo Gonçalves Borrega Scott Robinson Support my channel and I can make more videos: https://www.patreon.com/standupmaths Music by Howard Carter Filming and editing by Matt Parker Design by Simon Wright MATT PARKER: Stand-up Mathematician Website: http://standupmaths.com/ Maths book: http://makeanddo4D.com/ Nerdy maths toys: http://mathsgear.co.uk/

Comments

David Leschinsky

~At first I was scrolling through the (unordered comments), wondering which was the highest number. Then luckily I saw that right above the text field it says "XX comments". (edit: DON'T) use this number if you've missed it at first like I did! :D~ edit: Oh, thank you Matt, you see I'm double blind, since the option to sort is right next to the number of comments. Deleted my comment and commented again. Now it should roughly fit!

Matt Parker

Don’t trust the number of comments. You need to sort “newest first” and then add the next one.

David Leschinsky

Ah thank you, after thinking about it for a minute it is the only option that makes sense, since there will be a non-zero amount of non-number comments that distort the comment count. I guess the fact that I just stood up and there is the urge to find the right number and comment relatively fast so you don't miss new, fresher comments that would result in duplicates impaired my thinking there a bit. Now my number should hopefully be fine, I'll watch this video later today to see what it's all about :)

Mark Fisher

I was 67th, i so wanted to be 69. Year of my birth. Yes, that's why.

David Garrison

I think six was correct... one of the lines "i,-i" has two numbers

Matt Parker

Yes, counting i and -i as two numbers. I was too pushed for time to animate them separately.

Benjamin Ford

I wanted to comment before it was too late so I played the video in a quiet study area not realising my sound was up and that every could hear "dO yOu EvEr WoNdEr?" now I wish to die

RickB

Asking your followers to comment on a youtube video by reciting the sacred list of ordinals, and yet you wonder why Humble Pi is on the Amazon list of bible best-sellers... ;-)

kuraz

thank you for the sorting hint, for a moment i was very disappointed in us. and then i got #💯 👍

Jonathan Pasternack

Hi Matt, great video as always. When the polynomial pops up at the top, the exponent of the second term should be n-1 I think, not n+1

Anders Enger Jensen

I'm excited to see how well the rest of "Teh Internetz" will handle the comment section when you go public. Enter the anarchy in 3...2...1! ^_^

Rachel

Comment on the actual video: wot, no quaternions and octonions? :( Comment on the comments: this has entirely made my day. I have never been so proud to be 125th. :D

Matt Parker

Good work! I could not have hoped for a better 100th.

Matt Parker

Thanks! I’ll check and add a correction to the description before it goes live.

Matt Parker

Hopefully we get to 200 before the rest of teh internetz comes rolling in.

Matt Parker

The video was long enough already sadly. That’ll be a different video!

Tim S (Banana Juice Tech)

Love it! Looking forward to checking back for the links to other videos. I hadn't heard about infinite ordinals before nor had I seen a description of algebraic numbers.

Lexington Brython

I made the same mistake this morning. Just deleted and reposted. Matt, I have failed you like Steve did for saying Tau > Pi (mathematically true not morally true)

Lexington Brython

We got to 190, then the order was lost. NOOOOOOOOO