this post was submitted on 18 Oct 2024
214 points (97.8% liked)

Science Memes

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214
Equinunerous Sets (mander.xyz)
submitted 1 month ago by [email protected] to c/[email protected]
17 comments fedilink hide all child comments
 
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[–] [email protected] 13 points 1 month ago (4 children)

consider two sets: set a and set b. both set a and b contain all horses, ane nothing else. they are always equivalent.

[–] [email protected] 10 points 1 month ago (2 children)

Sure, but does the set of all sets that don't include themselves include itself?

[–] [email protected] 5 points 1 month ago* (last edited 1 month ago)

Easy. If and only if the integer sequence A053169 contains the number 53169

[–] [email protected] 2 points 1 month ago

Yesn't.

[–] [email protected] 6 points 1 month ago

set a contains all horses. set b contains all ponysonas

[–] [email protected] 4 points 1 month ago

Gotcha. So all horses are purple?

[–] [email protected] 3 points 1 month ago

But how can set b contain all of the horses if they're already in set a???

[–] [email protected] 11 points 1 month ago (3 children)

Where can I find that template?

[–] [email protected] 22 points 1 month ago (1 children)

[–] [email protected] 11 points 1 month ago (1 children)

Obviously there's the overall juxtaposition, but I really like the proportional dampness.

[–] stephen01king 5 points 1 month ago

Does that mean you cannot distinguish between the two?

[–] [email protected] 5 points 1 month ago (1 children)

It's not the same extent and also a jpeg. I'm sorry but I had to go through Instagram photo downloader hell for this

[–] [email protected] 2 points 1 month ago

Don't be sorry, I appreciate the effort :)

[–] [email protected] 9 points 1 month ago

I wouldn't trust on category theorists discernment. They are patently bad at it.

[–] [email protected] 5 points 1 month ago

Category theorists 🤝 Topologists
Unable to distinguish 10 donuts from 10 mugs