#itsblueandboxy

[itsblueandboxy]

Quick sketch I did of First Officer Specialist Burnham, from Star Trek Discovery. (Played by the incredible Sonequa Martin-Green 😍)

[itsblueandboxy]

New icon.

[wednesdaycafes]

Read Coral's story

Coral is raising money to help Macmillan Cancer Support

HI EVERYONE!

This is just to let everyone know that me and a few friends will be watching all three series of Hannibal in one sitting to raise money for Macmillan cancer support. We’ll be live-tweeting, hopefully live streaming, and raising money for charity all at the same time! 

If our Fannibal family could share and/or donate to our cause, that would be really AMAZING!

Thanks so much Fannibals! I know we can do this! 

(Twitter: @ORGANizedEvents)

[talysalankil]

itsblueandboxy replied to your post:regalli replied to your post:Actually aren’t the...

Actually I’m pretty sure John said just after TFiOS came out that it was a mathematician friend of his, or someone he knew anyway, that introduced him to it and the infinity thing is legit theory - I’m sure minute physics covered it once :)

Thank you, but I am a soon-to-be-graduated computer engineer (which involves a lot of math, it is not called computing science just for fun), I know exactly what I'm talking about myself.

Also I don't think we're talking about the same "infinity thing". Yes, some infinities are bigger than others, I'm not disputing that. Here's Youtuber Vihart proving that for you (I think I saw that John Green actually posted this on tumblr recently).

I am however disputing what Hazel said in her eulogy of Gus (in the movie, I don't remember if it's in the books) about how the infinity of number between 0 and 1 is smaller than the one between 0 and 2. That's not true.

The easiest way to decide if two infinities are "of the same size" if by checking if we can establish a bijection between the two. In layman's terms, that means establishing a 1-to-1 correspondence between the sets. And that one is actually very easy to do: just divide the numbers from the 0-2 set by 2 (or conversely, multiply by 2 in the other set).

It is a bijection (each element of the origin set has exactly one image, and each element of the destination set is the image of exactly one number), which means those two infinities are the same size.

This is also how you prove that natural, integer and rational numbers all have the same cardinality, or how you can prove that complex numbers and pairs of real numbers have the same cardinality. And if you can prove that no such bijection exists, you can prove the difference in cardinality. See for instance Cantor's diagonal which can be used to prove that many infinities (notably the real numbers, but it's also used for, say, the set of all Turing machines) are bigger than the countable infinity.

In fact, I think that video from Vihart I linked above says it… unless it's this one (I watched both videos in a short interval so I don't remember which says what exactly).

PS: It would also have been much more fun if she used the (correct) statement that the infinity of all integers is smaller than the infinity between any two real numbers (no matter how close), which includes the 0 to 1 infinity.

[itsblueandboxy]

*takes deep breath* okay guys, it's happening.

After over 2 years, I am officially changing URLs. I've been thinking about it for ages but when better to do it that the 50th anniversary of Doctor Who?!! niamharthur is officially becoming itsblueandboxy