this post was submitted on 18 Oct 2024
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Science Memes

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206
Equinunerous Sets (mander.xyz)
submitted 8 months ago by fossilesque@mander.xyz to c/science_memes@mander.xyz
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[–] rain_worl@lemmy.world 13 points 8 months 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.

[–] yesman@lemmy.world 10 points 8 months ago (2 children)

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

[–] yetAnotherUser@discuss.tchncs.de 5 points 8 months ago* (last edited 8 months ago)

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

[–] Enkers@sh.itjust.works 2 points 8 months ago

Yesn't.

[–] match@pawb.social 6 points 8 months ago

set a contains all horses. set b contains all ponysonas

[–] steventhedev@lemmy.world 4 points 8 months ago

Gotcha. So all horses are purple?

[–] very_well_lost@lemmy.world 3 points 8 months ago

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

[–] stiephelando@discuss.tchncs.de 9 points 8 months ago (3 children)

Where can I find that template?

[–] gigachad@sh.itjust.works 22 points 8 months ago (1 children)

[–] degen@midwest.social 11 points 8 months ago (1 children)

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

[–] stephen01king@lemmy.zip 5 points 8 months ago

Does that mean you cannot distinguish between the two?

[–] gigachad@sh.itjust.works 5 points 8 months 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

[–] stiephelando@discuss.tchncs.de 2 points 8 months ago

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

[–] marcos@lemmy.world 9 points 8 months ago

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

[–] MBM 5 points 8 months ago

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